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We study the existence of positive solutions to the fourth-order two-point boundary value problem $\{\begin{matrix} u^{''''} (t) + f (t, u (t)) = 0, & 0 < t < 1, \\ u^{'} (0) = u^{'} (1) = u^{''} (0) = 0, & u (0) = α [u], \end{matrix}$ where $α [u] = \int_{0}^{1} u (t) d A (t)$ is a Riemann-Stieltjes integral with $A \geq 0$ being a nondecreasing function of bounded variation and $f \in 𝒞 ([0, 1] \times ℝ_{+}, ℝ_{+})$ . The sufficient conditions obtained are new and easy to apply. Their approach is based on Krasnoselskii’s fixed point theorem and the Avery-Peterson fixed point theorem.

Positive solutions of a three-point boundary-value problem for differential equations with damping and actively bounded delayed forcing term.

Karakostas, George L. (2006)

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

Positive solutions of boundary value problems for systems of second-order differential equations with integral boundary condition on the half-line.

Xi, Shouliang, Jia, Mei, Ji, Huipeng (2009)

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

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

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

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

Positive solutions of a boundary value problem with integral boundary conditions.

Positive solutions of a fourth-order differential equation with integral boundary conditions

Positive solutions of a nonlinear higher order boundary-value problem.

Positive solutions of a nonlinear three-point integral boundary value problem.

Positive solutions of a second-order three-point boundary value problem via functional compression-expansion.

Positive solutions of a third-order three-point boundary-value problem.

Positive solutions of a three-point boundary-value problem for differential equations with damping and actively bounded delayed forcing term.

Positive solutions of boundary value problems for $2 m$ -order differential equations.

Positive solutions of boundary value problems for nth order ordinary differential equations.

Positive solutions of boundary value problems for system of nonlinear fourth-order differential equations.

Positive solutions of boundary value problems for systems of second-order differential equations with integral boundary condition on the half-line.

Positive solutions of boundary value problems with $p$ -Laplacian.

Positive solutions of four-point boundary-value problems for higher-order with $p$ -Laplacian operator.

Positive solutions of four-point boundary-value problems for four-order $p$ -Laplacian dynamic equations on time scales.

Positive solutions of fourth-order boundary value problem with variable parameters.

Positive solutions of $n$ th-order nonlinear impulsive differential equation with nonlocal boundary conditions.

Positive solutions of nonlinear $m$ -point boundary-value problem for $p$ -Laplacian dynamic equations on time scales.

Currently displaying 281 – 300 of 386