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Boundary value problems for systems of differential equations

Published online by Cambridge University Press:  17 April 2009

H.B. Thompson
H.B. Thompson
Affiliation:
Department of Mathematics, The University of Queensland, Queensland 4072, Australia
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Abstract

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We give sufficient conditions for systems of the form y′ = f(x, y), x in [0, 1] and y″ = f(x, y, y′), x in [0, 1] to have solutions y with (x, y) in Ω ⊆ [0, 1] x Rn. We use degree theory and allow the shape of Ω to depend on x.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 3 , December 1996 , pp. 397 - 410
Copyright
Copyright © Australian Mathematical Society 1996

References

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