Multiple Nonnegative Solutions for a Class of Fourth-Order BVPs Via a New Topological Approach

Year 2022, Volume: 6 Issue: 3, 390 - 404, 30.09.2022

Salim Benslimane Svetlin Georgiev , Karima Mebarki

https://doi.org/10.31197/atnaa.977625

Cited By: 1

Abstract

In this paper, we study a class of fourth-order boundary value problems with integral boundary conditions.
The nonlinearity may have time-singularity and change sign. Moreover, it satisfies general polynomial growth conditions.
A new topological approach is applied to prove the existence of at least two nonnegative classical solutions.
An example of application illustrates the existence result.

Keywords

ODE, fourth-order BVPs, nonnegative solution, fixed point, cone, sum of operators

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