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Solvability of a class of boundary value problems in the space of convergent sequences

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Abstract We consider two types of infinite systems of second-order differential equations with boundary conditions in the Banach sequence space c. For each system, sufficient conditions are provided for the… Click to show full abstract

Abstract We consider two types of infinite systems of second-order differential equations with boundary conditions in the Banach sequence space c. For each system, sufficient conditions are provided for the existence of solutions. Our approach is based on the use of measure of noncompactness concept and the application of Darbo’s theorem for condensing operators. Some examples are presented to illustrate the obtained results.

Keywords: problems space; space; class boundary; boundary value; solvability class; value problems

Journal Title: Applicable Analysis
Year Published: 2018

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