Consistency of an Infinite system of third order three-point boundary value problem in the $bv_0$ space by the theory of measure of noncompactness

Resumo

Several authors have examined the solvability conditions for an infinite system of differential equations in different Banach spaces using the concept of measure of noncompactness. In all these studies, they have considered differential equations where the boundary conditions are defined on two points. In this paper, we have studied the solvability conditions for an infinite system of third-order three point boundary value problem in the sequence space of bounded variation $bv_0$ with the help of the theory of measure of noncompactness and have given a suitable example to illustrate the result.

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Biografia do Autor

Niraj Sapkota, Sikkim Manipal University

Department of Mathematics

Rituparna Das, Sikkim Manipal University

Department of Mathematics

Santonu Savapondit, Sikkim Manipal University

Department of Mathematics

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Publicado
2022-12-23
Seção
Artigos