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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Application of Liapunov theory to boundary value problems

Authors: J. H. George and W. G. Sutton
Journal: Proc. Amer. Math. Soc. 25 (1970), 666-671
MSC: Primary 34.51
MathSciNet review: 0261106
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Abstract: The theory of Liapunov’s direct method is developed for boundary value problems occurring in ordinary differential equations. Conditions are given in terms of a Liapunov function which are sufficient to insure uniqueness and existence of solutions of boundary value problems. A suitable Liapunov function is obtained to give conditions obtained by Hartman as special cases.

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Keywords: Liapunov stability theory, boundary value problems, existence and uniqueness
Article copyright: © Copyright 1970 American Mathematical Society