SOLVABILITY OF ITERATIVE SYSTEMS OF THREE-POINT BOUNDARY VALUE PROBLEMS

Abstract

We establish a criterion for the existence of at least one positive solution for the iterative system of three-point boundary value problems by determining the eigenvalues λi, 1 ≤ i ≤ n, using Guo–Krasnosel’skii fixed point theorem.

Keywords

• Iterative system,boundary value problem,eigenvalue,positive solution,cone

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