Positive Solutions for System of Third-order Generalized Sturm-Liouville Boundary Value Problems with (p,q)-Laplacian
نویسنده
چکیده
Abstract: In this work, by employing the Leggett-Williams fixed point theorem, we study the existence of at least three positive solutions of boundary value problems for system of third-order ordinary differential equations with (p,q)-Laplacian (φp(u ′′(t)))′ + a1(t)f1(t, u(t), v(t)) = 0 0 ≤ t ≤ 1, (φq(v ′′(t)))′ + a2(t)f2(t, u(t), v(t)) = 0 0 ≤ t ≤ 1, α1u(0)− β1u(0) = μ11u(ξ1), γ1u(1) + δ1u(1) = μ12u(η1), u′′(0) = 0, α2v(0)− β2v(0) = μ21v(ξ2), γ2v(1) + δ2v(1) = μ22u(η2), v′′(0) = 0, where φp(s) = |s|p−2s, φq(s) = |s|q−2s, are p,q-Laplacian operators, p > 1, q > 1, 0 < ξi < 1, 0 < ηi < 1, for i = 1, 2..
منابع مشابه
Positive solutions for nonlinear systems of third-order generalized sturm-liouville boundary value problems with $(p_1,p_2,ldots,p_n)$-laplacian
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