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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]

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