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Simultaneous linear differential equations with constant coefficients

Published online by Cambridge University Press:  24 October 2008

S. N. Afriat  and
H. G. Eggleston
S. N. Afriat
Affiliation:
Department of Applied EconomicsCambridge
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Extract

The equations to be considered are of the form

where Xk is to be determined as a function of t, is its ith derivative with respect to t, Fj is a given analytic function of t, a given constant, and i = 0, 1, …, n; j, k = 1,…, m, and they represent a system of simultaneous linear differential equations of order n in m functions Xk (k = 1,…, m).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 52 , Issue 2 , April 1956 , pp. 209 - 212
Copyright
Copyright © Cambridge Philosophical Society 1956

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References

REFERENCES

(1)Afriat, S. N.Functions of a complex matrix variable (chapter of thesis deposited in Bodleian Library, Oxford, 1953).Google Scholar
(2)Ferrar, W. L.Finite matrices (Oxford, 1951).Google Scholar
(3)Goodwin, R. M. Static and dynamic general equilibrium models. Input-output relations (The Netherlands Economic Institute, Leiden, 1953).Google Scholar
(4)Halmos, P. R.Finite-dimensional vector space (Princeton, 1948).Google Scholar
(5)Hamburger, H. L. and Grimshaw, M. E.Linear transformations in n-dimensional vector space (Cambridge, 1951).Google Scholar
(6)MacDuffee, C. C.The theory of matrices (New York, 1946).Google Scholar
(7)Penrose, R.A generalized inverse for matrices. Proc. Camb. phil. Soc. 51 (1955), 406.CrossRefGoogle Scholar
(8)Poole, E. G. C.Introduction to the theory of linear differential equations (Oxford, 1936), chap. 2.Google Scholar