Resonance problems with nonlinearity interfering with eigenvalues of higher orderheigen
- 1 January 1987
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 25 (4) , 275-286
- https://doi.org/10.1080/00036818708839691
Abstract
We consider the Dirichlet problem for a 2nd order ordinary differential equation with noninvertible linear part. The nonlinear term has linear growth and may interfere with eigenvalues of higher order in a nonuniform way. Existence of solution is obtained by imposing a condition of Landesman-Lazer's typeKeywords
This publication has 3 references indexed in Scilit:
- Existence results on the one-dimensional Dirichlet problem suggested by the piecewise linear caseProceedings of the American Mathematical Society, 1986
- A resonance problem in which the nonlinearity may grow linearlyProceedings of the American Mathematical Society, 1984
- Existence of solutions of a nonlinear differential equationProceedings of the American Mathematical Society, 1983