Abstract
The theory of Liapunov's direct method is developed for bouindary value problems occurring in ordinary difierential equations. Conditions are given in terms of a Liaptunov function which are sufficient to insure uiniqueness and existence of solutions of boundary value problems. A suitable Liapunov f unction is ob- tained to give conditions obtainied by Hat tman as special cases. 1. IntroducUion. Many techniques and theories developed for boundary value problems of ordinary differential equations originated
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