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A simple alternative problem for finding periodic solutions of second order ordinary differential systems


Author: J. W. Bebernes
Journal: Proc. Amer. Math. Soc. 42 (1974), 121-127
MSC: Primary 34B15
MathSciNet review: 0330597
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Abstract: Existence of solutions for $ x'' = f(t,x,x'),x(0) = x(1),x'(0) = x'(1)$ are proven by considering a simple alternative problem to which Leray-Schauder degree arguments can be directly applied.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0330597-6
Keywords: Periodic boundary value problems, alternative problems, Leray-Schauder degree, Nagumo-Hartman condition, Lyapunov-like functions
Article copyright: © Copyright 1974 American Mathematical Society