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

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Advances in the Theory of Nonlinear Analysis and its Application
Volume: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 : 11 | Download : 5

Publication Date : 2022-09-30

Article Type : Research Paper

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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