Positive solutions for systems of m‐point nonlinear boundary value problems

By J. Henderson, Sotiris K. Ntouyas, I. Purnaras. 2008

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Abstract Positive solutions (u(t), v(t)) are sought for the nonlocal (m‐point) nonlinear system of boundary value problems, u” + λa(t)f(v) = 0, v” + λb(t)g(u) = 0, for 0 < t < 1, and satisfying, u(0) = 0, u(1) = . An application of a Guo‐Krasnosel'skii fixed point theorem yields sufficient values of λ for which such positive solutions exist.

Subfields: Applied Mathematics, Numerical Analysis

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