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Proceedings of the American Mathematical Society

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Application of Liapunov theory to boundary value problems. II


Authors: J. H. George and R. J. York
Journal: Proc. Amer. Math. Soc. 37 (1973), 207-212
MSC: Primary 34B15
MathSciNet review: 0313568
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Abstract: The second order vector differential equation $ x'' = f(t,x,x')$ is considered. Liapunov conditions for existence of solutions to boundary value problems are obtained strictly in terms of the function f, extending the results of George and Sutton [1].


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DOI: https://doi.org/10.1090/S0002-9939-1973-0313568-4
Keywords: Boundary value problems, Liapunov theory, existence, uniqueness
Article copyright: © Copyright 1973 American Mathematical Society