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An Investigation of an Integral Equation Involving Convex–Concave Nonlinearities

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We investigate the existence and uniqueness of positive solutions to an integral equation involving convex or concave nonlinearities. A numerical algorithm based on Picard iterations is provided to obtain an… Click to show full abstract

We investigate the existence and uniqueness of positive solutions to an integral equation involving convex or concave nonlinearities. A numerical algorithm based on Picard iterations is provided to obtain an approximation of the unique solution. The main tools used in this work are based on partial-ordering methods and fixed-point theory. Our results are supported by examples.

Keywords: convex concave; integral equation; equation involving; concave nonlinearities; involving convex

Journal Title: Mathematics
Year Published: 2021

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