SOLVABILITY OF ITERATIVE SYSTEMS OF THREE-POINT BOUNDARY VALUE PROBLEMS

Year 2013, Volume: 3 Issue: 2, 147 - 159, 01.12.2013

K.r. Prasad N. Sreedhar K.r. Kumar

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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