Positive Solutions of a Singular System with Two Point Coupled Boundary Conditions

Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...

existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

in this work, by employing the krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime...

Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with -Laplacian

The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions

In this paper, we study a coupled system of nonlinear fractional differential equations with multi-point boundary condi- tions. The differential operator is taken in the Riemann-Liouville sense. Applying the Schauder fixed-point theorem and the contrac- tion mapping principle, two existence results are obtained for the following system D^{alpha}_{0+}x(t)=fleft(t,y(t),D^{p}_{0+}y(t)right), t in (0,...

Positive solutions for a class of fractional differential coupled system with integral boundary value conditions

This paper investigates the existence of positive solutions for the following high-order nonlinear fractional differential boundary value problem (BVP, for short)  Dα 0+u(t) + f(t, v(t)) = 0, t ∈ (0, 1), Dα 0+v(t) + g(t, u(t)) = 0, t ∈ (0, 1), u(j)(0) = v(j)(0) = 0, 0 ≤ j ≤ n− 1, j 6= 1, u′(1) = λ ∫ 1 0 u(t)dt, v′(1) = λ ∫ 1 0 v(t)dt, where n − 1 < α ≤ n, n ≥ 3, 0 ≤ λ < 2, Dα 0+ is the ...