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Multiple Solutions for a Class of BVPs of Second-Order Discontinuous Differential Equations with Impulse Effects

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This paper deals with a class of boundary value problems of second-order differential equations with impulses and discontinuity. The existence of single or multiple positive solutions to discontinuous differential equations… Click to show full abstract

This paper deals with a class of boundary value problems of second-order differential equations with impulses and discontinuity. The existence of single or multiple positive solutions to discontinuous differential equations with impulse effects is established by using the nonlinear alternative of Krasnoselskii’s fixed point theorem for discontinuous operators on cones. Finally, an example is given to illustrate the main results.

Keywords: discontinuous differential; class; equations impulse; impulse effects; second order; differential equations

Journal Title: Symmetry
Year Published: 2022

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