Existence of Solutions of a Nonlinear Differential Equation
- 1 August 1983
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 88 (4) , 605-613
- https://doi.org/10.2307/2045447
Abstract
A criterion is proved for the existence of at least one solution to the equation <!-- MATH $u'' + u = g(u) + h$ --> with <!-- MATH $u(0) = u(\pi ) = 0$ --> , where <!-- MATH $h \in {L_2}[0,\pi ]$ --> and is continuous monotone nonincreasing.
Keywords
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