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Proceedings of the American Mathematical Society

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

 

 

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
DOI: https://doi.org/10.1090/S0002-9939-1970-0261106-4
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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DOI: https://doi.org/10.1090/S0002-9939-1970-0261106-4
Keywords: Liapunov stability theory, boundary value problems, existence and uniqueness
Article copyright: © Copyright 1970 American Mathematical Society