The aim of this paper is to study a parameter-dependent nonlinear differential problem with Sturm–Liouville type equation and Dirichlet boundary conditions. In particular, by requiring a suitable behavior on the nonlinearity, we determine an interval of parameter for which the problem admits three or infinitely many solutions.
Multiple solutions for nonlinear Sturm–Liouville differential equations with possibly negative variable coefficients
Eleonora Amoroso;Gabriele Bonanno
;Giuseppina D'Agui;Salvatore Foti
2023-01-01
Abstract
The aim of this paper is to study a parameter-dependent nonlinear differential problem with Sturm–Liouville type equation and Dirichlet boundary conditions. In particular, by requiring a suitable behavior on the nonlinearity, we determine an interval of parameter for which the problem admits three or infinitely many solutions.File in questo prodotto:
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