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 | References | Similar Articles | Additional Information
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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Additional Information
Keywords:
Liapunov stability theory,
boundary value problems,
existence and uniqueness
Article copyright:
© Copyright 1970
American Mathematical Society