EuDML | Browse

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 singular positone and semipositone boundary value problems for fourth-order difference equations.

Yuan, Chengjun (2010)

Discrete Dynamics in Nature and Society

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

Yang, Bo (2008)

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

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]

Currently displaying 401 – 420 of 579

Previous Page 21 Next

Displaying 401 – 420 of 579

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 three-point nonlinear fractional boundary value problems.

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 certain type of two-point boundary value problems

Positive Solutions of a Class of Second Order Semilinear Elliptic Equations in the Plane.

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 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 singular positone and semipositone boundary value problems for fourth-order difference equations.

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 a three-point boundary-value problem on a time scale.

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.

Currently displaying 401 – 420 of 579