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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Ordinary Differential Equations. Papers on this page are organised in collections from 34- through 34N, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

34-XX: Ordinary differential equations 34Axx: General theory 34Bxx: Boundary value problems 34Cxx: Qualitative theory 34Dxx: Stability theory 34Exx: Asymptotic theory 34Fxx: Equations and systems with randomness 34Gxx: Differential equations in abstract spaces 34Hxx: Control problems 34Kxx: Functional-differential and differential-difference equations 34Lxx: Ordinary differential operators 34Mxx: Differential equations in the complex domain 34Nxx: Dynamic equations on time scales or measure chains

Ordinary differential equations (34-XX)

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General theory (34Axx)

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Article
Adversarial flows: A gradient flow characterization of adversarial attacks
Lukas Weigand, Tim Roith, Martin Burger
European Journal of Applied Mathematics, First View

Article
MATHEMATICAL MODELLING AND ANALYSIS OF HARMFUL ALGAL BLOOM
MILTON MONDAL
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
ANALYSIS OF A DISCRETIZED FRACTIONAL-ORDER PREY–PREDATOR MODEL UNDER WIND EFFECT
GIZEM S. OZTEPE, MEHTAP LAFCI BUYUKKAHRAMAN
The ANZIAM Journal, Volume 67

Article
Hardy and Rellich Inequalities with Bessel Pairs
Michael Ruzhansky, Bolys Sabitbek
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

Article
Optimal inventory control with state-dependent jumps
Lijun Bo, Yijie Huang
Advances in Applied Probability, First View

Article
Spectral identities for Schrödinger operators
Namig J. Guliyev
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
Uniqueness theorems for meromorphic inner functions and canonical systems
Burak Hatinoğlu
Canadian Mathematical Bulletin, Volume 68, Issue 1

Article
Flocking dynamics of agents moving with a constant speed and a randomly switching topology
Hyunjin Ahn, Woojoo Shim
European Journal of Applied Mathematics, Volume 36, Issue 2

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Boundary value problems (34Bxx)

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Article
A unified topological analysis of variable growth Kirchhoff-type equations
Christopher Goodrich, Gabriel Nakhl
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Atypical bifurcation for periodic solutions of ϕ-Laplacian systems
Pierluigi Benevieri, Guglielmo Feltrin
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Multiple solutions to relativistic systems with potential boundary conditions
Petru Jebelean, Călin Șerban, Stepan Tersian
Proceedings of the Edinburgh Mathematical Society, First View

Article
Spectral identities for Schrödinger operators
Namig J. Guliyev
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
Discounted optimal stopping zero-sum games in diffusion type models with maxima and minima
Pavel V. Gapeev
Advances in Applied Probability, Volume 57, Issue 1

Article
A unified characterization of convolution coefficients in nonlocal differential equations
Christopher S. Goodrich
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems
Min Zhao, Jiangang Qi
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
The lower bounds of non-real eigenvalues for singular indefinite Sturm–Liouville problems
Fu Sun
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 3

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Qualitative theory (34Cxx)

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Article
Well-posedness and averaging principle for non-Gaussian McKean–Vlasov stochastic differential equations with locally Lipschitz coefficients
Ying Chao, Jinqiao Duan, Ting Gao, Pingyuan Wei
Advances in Applied Probability, First View

Article
Atypical bifurcation for periodic solutions of ϕ-Laplacian systems
Pierluigi Benevieri, Guglielmo Feltrin
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Evans function, parity and nonautonomous bifurcations
Christian Pötzsche, Robert Skiba
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
BIFURCATION ANALYSIS AND FAST APPROACH OF A LESLIE-TYPE PREY–PREDATOR MODEL INVOLVING ALLEE EFFECT
PINAR BAYDEMIR, HUSEYIN MERDAN
The ANZIAM Journal, Volume 67

Article
MULTIPLE LOCAL AND GLOBAL BIFURCATIONS AND THEIR ROLE IN QUORUM SENSING DYNAMICS
M. HARRIS, V. RIVERA–ESTAY, P. AGUIRRE, V. F. BREÑA–MEDINA
The ANZIAM Journal, Volume 67

Article
GENERIC PLANAR PHASE RESETTING NEAR A PHASELESS POINT
K. H. LEE, N. G. R. BRODERICK, B. KRAUSKOPF, H. M. OSINGA
The ANZIAM Journal, Volume 67

Article
ANALYTICAL APPROXIMATIONS OF LOTKA–VOLTERRA INTEGRALS
NIKLAS L. P. LUNDSTRÖM, GUNNAR J. SÖDERBACKA
The ANZIAM Journal, Volume 67

Article
Global dynamics of 3D type-K monotone Lotka–Volterra system with the identical intrinsic growth rate
Fengli Liang, Jifa Jiang, Xiang Zhang
Canadian Journal of Mathematics, First View

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Stability theory (34Dxx)

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Article
BIFURCATION ANALYSIS AND FAST APPROACH OF A LESLIE-TYPE PREY–PREDATOR MODEL INVOLVING ALLEE EFFECT
PINAR BAYDEMIR, HUSEYIN MERDAN
The ANZIAM Journal, Volume 67

Article
MATHEMATICAL MODELLING AND ANALYSIS OF HARMFUL ALGAL BLOOM
MILTON MONDAL
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
ANALYTICAL APPROXIMATIONS OF LOTKA–VOLTERRA INTEGRALS
NIKLAS L. P. LUNDSTRÖM, GUNNAR J. SÖDERBACKA
The ANZIAM Journal, Volume 67

Article
Dichotomy spectrum and reducibility for mean hyperbolic systems
Jiahui Feng
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Generalized Ricci flow on aligned homogeneous spaces
Valeria Gutiérrez
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 1

Article
Flocking dynamics of agents moving with a constant speed and a randomly switching topology
Hyunjin Ahn, Woojoo Shim
European Journal of Applied Mathematics, Volume 36, Issue 2

Article
Bifurcation of the travelling wave solutions in a perturbed (1 + 1)-dimensional dispersive long wave equation via a geometric approach
Hang Zheng, Yonghui Xia
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Eternal solutions to a porous medium equation with strong non-homogeneous absorption. Part I: radially non-increasing profiles
Razvan Gabriel Iagar, Philippe Laurençot
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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Asymptotic theory (34Exx)

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Article
Integral constraints in multiple scales problems with a slowly varying microstructure
Amy Kent, Sarah L. Waters, James M. Oliver, Stephen Jonathan Chapman
European Journal of Applied Mathematics, First View

Article
MICRO-MACRO PARAREAL, FROM ORDINARY DIFFERENTIAL EQUATIONS TO STOCHASTIC DIFFERENTIAL EQUATIONS AND BACK AGAIN
IGNACE BOSSUYT, STEFAN VANDEWALLE, GIOVANNI SAMAEY
The ANZIAM Journal, Volume 67

Article
Non-integrability of the restricted three-body problem
KAZUYUKI YAGASAKI
Ergodic Theory and Dynamical Systems, Volume 44, Issue 10

Article
From topological recursion to wave functions and PDEs quantizing hyperelliptic curves
Bertrand Eynard, Elba Garcia-Failde
Forum of Mathematics, Sigma, Volume 11

Article
Global Asymptotics of the Sixth Painlevé Equation in Okamoto’s Space
Viktoria Heu, Nalini Joshi, Milena Radnović
Forum of Mathematics, Sigma, Volume 11

Article
EXACT SOLUTIONS FOR THE SINGULARLY PERTURBED RICCATI EQUATION AND EXACT WKB ANALYSIS
NIKITA NIKOLAEV
Nagoya Mathematical Journal, Volume 250

Article
Fluctuation response patterns of network dynamics – An introduction
XIAOZHU ZHANG, MARC TIMME
European Journal of Applied Mathematics, Volume 34, Issue 3

Article
Revisiting closed asymptotic couples
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
Proceedings of the Edinburgh Mathematical Society, Volume 65, Issue 2

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Equations and systems with randomness (34Fxx)

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Article
Averaging principle for the fast–slow McKean–Vlasov stochastic differential equations driven by mixed fractional Brownian motion
Yaru Jiang, Meiling Zhao
Journal of Applied Probability, First View

Article
Pullback measure attractors for non-autonomous stochastic lattice systems
Shaoyue Mi, Dingshi Li, Tianhao Zeng
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Flocking dynamics of agents moving with a constant speed and a randomly switching topology
Hyunjin Ahn, Woojoo Shim
European Journal of Applied Mathematics, Volume 36, Issue 2

Article
ON MODELLING WATER QUALITY WITH STOCHASTIC DIFFERENTIAL EQUATIONS
MAHMOUD B. A. MANSOUR
The ANZIAM Journal, Volume 65, Issue 3

Article
Statistical determinism in non-Lipschitz dynamical systems
THEODORE D. DRIVAS, ALEXEI A. MAILYBAEV, ARTEM RAIBEKAS
Ergodic Theory and Dynamical Systems, Volume 44, Issue 7

Article
Asymptotics of quasi-stationary distributions of small noise stochastic dynamical systems in unbounded domains
Amarjit Budhiraja, Nicolas Fraiman, Adam Waterbury
Advances in Applied Probability, Volume 54, Issue 1

Article
On the stochastic resonance phenomenon in parametrically excited systems
VLADISLAV SOROKIN, ILIYA BLEKHMAN
European Journal of Applied Mathematics, Volume 30, Issue 5

Article
EXACT ANALYTICAL EXPRESSIONS FOR THE FINAL EPIDEMIC SIZE OF AN SIR MODEL ON SMALL NETWORKS
K. MCCULLOCH, M. G. ROBERTS, C. R. LAING
The ANZIAM Journal, Volume 57, Issue 4

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Differential equations in abstract spaces (34Gxx)

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Article
Well-posedness of Third Order Differential Equations in Hölder Continuous Function Spaces
Shangquan Bu, Gang Cai
Canadian Mathematical Bulletin, Volume 62, Issue 4

Article
${\mathcal{S}}$ -ASYMPTOTICALLY PERIODIC SOLUTIONS FOR ABSTRACT EQUATIONSWITH STATE-DEPENDENT DELAY
EDUARDO HERNÁNDEZ, MICHELLE PIERRI
Bulletin of the Australian Mathematical Society, Volume 98, Issue 3

Article
A reinterpretation of set differential equations as differential equations in a Banach space
Martin Rasmussen, Janosch Rieger, Kevin Webster
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 148, Issue 2

Article
THE ROLE OF DOMINATION AND SMOOTHING CONDITIONS IN THE THEORY OF EVENTUALLY POSITIVE SEMIGROUPS
DANIEL DANERS, JOCHEN GLÜCK
Bulletin of the Australian Mathematical Society, Volume 96, Issue 2

Article
Well-Posedness of Second-Order Degenerate Differential Equations with Finite Delay
Shangquan Bu, Gang Cai
Proceedings of the Edinburgh Mathematical Society, Volume 60, Issue 2

Article
The Growth Bound for Strongly Continuous Semigroups on Fréchet Spaces
Sven-Ake Wegner
Proceedings of the Edinburgh Mathematical Society, Volume 59, Issue 3

Article
Baire's category in existence problems for non-convex lower semicontinuous evolution differential inclusions
F.S. De Blasi, G. Pianigiani
Proceedings of the Edinburgh Mathematical Society, Volume 54, Issue 3

Article
THE COMPLEX INVERSION FORMULA REVISITED
MARKUS HAASE
Journal of the Australian Mathematical Society, Volume 84, Issue 1

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Control problems (34Hxx)

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Article
DOUGLAS–RACHFORD ALGORITHM FOR OPTIMAL CONTROL PROBLEMS
BETHANY I. CALDWELL
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
Numerical Optimization and Noise Analysis of High-Tip-Speed Wind Turbine
Long Wang, Guoping Chen, Tongguang Wang, Jiufa Cao
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 6

Article
INTEGRATED PID CONTROLLER DESIGN FOR AN UNMANNED AERIAL VEHICLE WITH STATIC STABILITY
R. LI, Y. J. SHI, H. L. XU
The ANZIAM Journal, Volume 54, Issue 3

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Functional-differential and differential-difference equations (34Kxx)

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Article
Periodic dynamics of a general switching dynamical system
Qian Ding, Jianshe Yu, Zhiming Guo, Yuming Chen, Yunfeng Liu
European Journal of Applied Mathematics, First View

Article
Optimal stopping zero-sum games in continuous hidden Markov models
Pavel V. Gapeev
Advances in Applied Probability, First View

Article
A DELAY DYNAMICAL SYSTEM’S PERSPECTIVE ON THE GLUCOSE–INSULIN REGULATORY RESPONSE TO ON–OFF GLUCOSE INFUSION
STEFAN RUSCHEL, BENOIT HUARD
The ANZIAM Journal, Volume 67

Article
Impact of prey-taxis on a harvested intraguild predation predator–prey model
Mengxin Chen, Canrong Tian, Seokjun Ham, Hyundong Kim, Junseok Kim
European Journal of Applied Mathematics, First View

Article
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations
Marek Kryspin, Janusz Mierczyński, Sylvia Novo, Rafael Obaya
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Hopf bifurcations for a delayed discrete single population patch model in advective environments
Weiwei Liu, Zuolin Shen, Shanshan Chen
European Journal of Applied Mathematics, Volume 36, Issue 4

Article
A diffusive plant-sulphide model: spatio-temporal dynamics contrast between discrete and distributed delay
Yonghui Xia, Jianglong Xiao, Jianshe Yu
European Journal of Applied Mathematics, Volume 36, Issue 4

Article
The dynamical analysis of a nonlocal predator–prey model with cannibalism
Daifeng Duan, Ben Niu, Junjie Wei, Yuan Yuan
European Journal of Applied Mathematics, Volume 35, Issue 5

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Ordinary differential operators (34Lxx)

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Article
Multiple solutions to relativistic systems with potential boundary conditions
Petru Jebelean, Călin Șerban, Stepan Tersian
Proceedings of the Edinburgh Mathematical Society, First View

Article
Generalized Airy operators
Antonio Arnal, Petr Siegl
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Time almost periodicity for solutions of Toda lattice equation with almost periodic initial datum
HAOXI ZHAO, HONGYU CHENG
Ergodic Theory and Dynamical Systems, Volume 45, Issue 8

Article
Spectral identities for Schrödinger operators
Namig J. Guliyev
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems
Min Zhao, Jiangang Qi
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
The lower bounds of non-real eigenvalues for singular indefinite Sturm–Liouville problems
Fu Sun
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 3

Article
The Lp convergence of Fourier series on triangular domains
Ryan L. Acosta Babb
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 2

Article
Singular boundary conditions for Sturm–Liouville operators via perturbation theory
Michael Bush, Dale Frymark, Constanze Liaw
Canadian Journal of Mathematics, Volume 75, Issue 4

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Differential equations in the complex domain (34Mxx)

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Article
Spherical normal forms for germs of parabolic line biholomorphisms
LOÏC TEYSSIER
Ergodic Theory and Dynamical Systems, Volume 45, Issue 10

Article
Complex linear differential equations with solutions in weighted Dirichlet spaces and derivative Hardy spaces
Qingze Lin, Huayou Xie
Canadian Mathematical Bulletin, Volume 68, Issue 3

Article
EXPONENTIAL ASYMPTOTICS USING NUMERICAL RATIONAL APPROXIMATION IN LINEAR DIFFERENTIAL EQUATIONS
CHRISTOPHER J. LUSTRI, SAMUEL CREW, S. JONATHAN CHAPMAN
The ANZIAM Journal, Volume 65, Issue 4

Article
Non-integrability of the restricted three-body problem
KAZUYUKI YAGASAKI
Ergodic Theory and Dynamical Systems, Volume 44, Issue 10

Article
From topological recursion to wave functions and PDEs quantizing hyperelliptic curves
Bertrand Eynard, Elba Garcia-Failde
Forum of Mathematics, Sigma, Volume 11

Article
Global Asymptotics of the Sixth Painlevé Equation in Okamoto’s Space
Viktoria Heu, Nalini Joshi, Milena Radnović
Forum of Mathematics, Sigma, Volume 11

Article
PILOT-WAVE HYDRODYNAMICS: QUANTISATION OF PARTIAL INTEGRABILITY FROM A NONLINEAR INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND ORDER
JAMES DAY
Bulletin of the Australian Mathematical Society, Volume 108, Issue 3

Article
A fixed-point curve theorem for finite-orbits local diffeomorphisms
LUCIVANIO LISBOA, JAVIER RIBÓN
Ergodic Theory and Dynamical Systems, Volume 43, Issue 12

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Dynamic equations on time scales or measure chains (34Nxx)

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Article
Is the Sacker–Sell type spectrum equal to the contractible set?
Mengda Wu, Yonghui Xia
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 2

Article
DIFFERENTIATING SOLUTIONS OF A BOUNDARY VALUE PROBLEM ON A TIME SCALE
LEE H. BAXTER, JEFFREY W. LYONS, JEFFREY T. NEUGEBAUER
Bulletin of the Australian Mathematical Society, Volume 94, Issue 1

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MSC 2010: Ordinary differential equations

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Ordinary differential equations (34-XX)

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General theory (34Axx)

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Boundary value problems (34Bxx)

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Qualitative theory (34Cxx)

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Stability theory (34Dxx)

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Asymptotic theory (34Exx)

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Equations and systems with randomness (34Fxx)

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Differential equations in abstract spaces (34Gxx)

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Control problems (34Hxx)

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Functional-differential and differential-difference equations (34Kxx)

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Ordinary differential operators (34Lxx)

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Differential equations in the complex domain (34Mxx)

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Dynamic equations on time scales or measure chains (34Nxx)

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