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Values of $λ$ are determined for which there exist positive solutions of the system of three-point boundary value problems, $u^{''} + λ a (t) f (v) = 0$ , $v^{''} + λ b (t) g (u) = 0$ , for $0 < t < 1$ , and satisfying, $u (0) = β u (η)$ , $u (1) = α u (η)$ , $v (0) = β v (η)$ , $v (1) = α v (η)$ . A Guo-Krasnosel’skii fixed point theorem is applied.

Positive solutions for systems of nonlinear singular differential equations.

Yuan, Yanyan, Zhao, Chenglong, Liu, Yansheng (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Positive solutions for systems of nth order three-point nonlocal boundary value problems.

Henderson, J., Ntouyas, S.K. (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Positive solutions for the beam equation under certain boundary conditions.

Yang, Bo (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Positive solutions for the $(n, p)$ boundary value problem.

Yang, Bo (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Positive solutions for third order multi-point singular boundary value problems

John R. Graef, Lingju Kong, Bo Yang (2010)

Czechoslovak Mathematical Journal

We study a third order singular boundary value problem with multi-point boundary conditions. Sufficient conditions are obtained for the existence of positive solutions of the problem. Recent results in the literature are significantly extended and improved. Our analysis is mainly based on a nonlinear alternative of Leray-Schauder.

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Positive solutions for singular $m$ -point boundary value problems with sign changing nonlinearities depending on $x^{'}$ .

Positive solutions for singular nonlinear beam equation.

Positive solutions for singular semi-positone Neumann boundary-value problems.

Positive solutions for singular Sturm-Liouville boundary value problems with integral boundary conditions.

Positive solutions for singular Sturm-Liouville boundary value problems on the half line.

Positive solutions for singular three-point boundary-value problems.

Positive solutions for singular three-point boundary-value problems.

Positive solutions for singular three-point boundary-value problems with sign changing nonlinearities depending on $x^{'}$ .

Positive solutions for singular $φ$ -Laplacian BVPs on the positive half-line.

Positive solutions for some beam equation boundary value problems.

Positive solutions for system of first-order dynamic equations.

Positive solutions for systems of generalized three-point nonlinear boundary value problems

Positive solutions for systems of nonlinear singular differential equations.

Positive solutions for systems of nth order three-point nonlocal boundary value problems.

Positive solutions for the beam equation under certain boundary conditions.

Positive solutions for the $(n, p)$ boundary value problem.

Positive solutions for third order multi-point singular boundary value problems

Positive solutions for third-order nonlinear $p$ -Laplacian $m$ -point boundary value problems on time scales.

Positive solutions for third-order $p$ -Laplacian functional dynamic equations on time scales.

Positive solutions for third-order Sturm-Liouville boundary-value problems with $p$ -Laplacian.

Currently displaying 261 – 280 of 385