Existence of solutions of a nonlinear differential equation
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- by L. Cesari and R. Kannan PDF
- Proc. Amer. Math. Soc. 88 (1983), 605-613 Request permission
Abstract:
A criterion is proved for the existence of at least one solution to the equation $u'' + u = g(u) + h$ with $u(0) = u(\pi ) = 0$, where $h \in {L_2}[0,\pi ]$ and $g$ is continuous monotone nonincreasing.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- 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