Existence of solutions of a nonlinear differential equation

Authors:
L. Cesari and R. Kannan

Journal:
Proc. Amer. Math. Soc. **88** (1983), 605-613

MSC:
Primary 34B15

DOI:
https://doi.org/10.1090/S0002-9939-1983-0702284-9

MathSciNet review:
702284

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Abstract | References | Similar Articles | Additional Information

Abstract: A criterion is proved for the existence of at least one solution to the equation with , where and is continuous monotone nonincreasing.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1983-0702284-9

Keywords:
Resonance,
alternative method,
auxiliary and determining equations,
Leray-Schauder topological argument

Article copyright:
© Copyright 1983
American Mathematical Society