- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 6 Issue: 3
- Multiple Nonnegative Solutions for a Class of Fourth-Order BVPs Via a New Topological Approach
Multiple Nonnegative Solutions for a Class of Fourth-Order BVPs Via a New Topological Approach
Authors : Salim BENSLİMANE, Svetlin GEORGİEV, Karima MEBARKİ
Pages : 390-404
Doi:10.31197/atnaa.977625
View : 4 | Download : 2
Publication Date : 2022-09-30
Article Type : Research
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