Application of Liapunov theory to boundary value problems

George, J. H.; Sutton, W. G.

doi:10.1090/S0002-9939-1970-0261106-4

Application of Liapunov theory to boundary value problems
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by J. H. George and W. G. Sutton

Proc. Amer. Math. Soc. 25 (1970), 666-671

DOI: https://doi.org/10.1090/S0002-9939-1970-0261106-4

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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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