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We consider the existence of positive solutions of the equation $1 / λ (t) {(λ (t) φ_{p} (x^{'} (t)))}^{'} + μ f (t, x (t), x^{'} (t)) = 0$ , where $φ_{p} (s) = {| s |}^{p - 2} s$ , p > 1, subject to some singular Sturm-Liouville boundary conditions. Using the Krasnosel’skiĭ fixed point theorem for operators on cones, we prove the existence of positive solutions under some structure conditions.

Positive solutions for second-order multi-point boundary-value problems at resonance in Banach spaces.

Jiang, Weihua, Wang, Bin (2011)

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

Positive solutions for second-order singular three-point boundary-value problems with sign-changing nonlinearities.

Ji, Caisheng, Yan, Baoqiang (2010)

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

Positive solutions for some beam equation boundary value problems.

Liu, Jinhui, Xu, Weiya (2009)

Boundary Value Problems [electronic only]

Positive solutions for system of first-order dynamic equations.

Wang, Da-Bin, Sun, Jian-Ping, Li, Xiao-Jun (2010)

Discrete Dynamics in Nature and Society

Positive solutions for system of nonlinear fractional differential equations in two dimensions with delay.

Babakhani, Azizollah (2010)

Abstract and Applied Analysis

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

Johnny Henderson, Sotiris K. Ntouyas, Ioannis K. Purnaras (2008)

Commentationes Mathematicae Universitatis Carolinae

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 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 an integral boundary value problem with $ϕ$ -Laplacian operator.

Positive solutions for an m-point boundary-value problem.

Positive solutions for boundary value problem of nonlinear fractional differential equation.

Positive solutions for first order nonlinear functional boundary value problems on infinite intervals.

Positive solutions for multipoint boundary-value problem with parameters.

Positive solutions for nonlinear semipositone $n$ th-order boundary value problems.

Positive solutions for one-dimensional singular p-Laplacian boundary value problems

Positive solutions for second-order multi-point boundary-value problems at resonance in Banach spaces.

Positive solutions for second-order singular three-point boundary-value problems with sign-changing nonlinearities.

Positive solutions for some beam equation boundary value problems.

Positive solutions for system of first-order dynamic equations.

Positive solutions for system of nonlinear fractional differential equations in two dimensions with delay.

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

Positive solutions for systems of nonlinear singular differential equations.

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.

Positive solutions for two-point semipositone right focal eigenvalue problem.

Currently displaying 41 – 60 of 79