Positive solutions of nonlinear differential equations with Riemann-Stieltjes boundary conditions

Positive Solutions for Nonlinear Fractional Differential Equations with Boundary Conditions Involving Riemann-Stieltjes Integrals

and Applied Analysis 3 Inspired by the work of the above papers, the aim of this paper is to establish the existence and multiplicity of positive solutions of the BVP 1.1 . We discuss the boundary value problemwith the Riemann-Stieltjes integral boundary conditions, that is, the BVP 1.1 , which includes fractional order two-point, three-point, multipoint, and nonlocal boundary value problems as...

Positive solutions for second order impulsive differential equations with Stieltjes integral boundary conditions

In this paper, we study the existence of positive solutions for a singular second order impulsive differential equations with Stieltjes integral boundary conditions. By means of fixed point theorems, some results on the existence and multiplicity of positive solutions are obtained. Two examples are given to demonstrate the main results.

Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations

This article is devoted to the study of existence and multiplicity of positive solutions to a class of nonlinear fractional order multi-point boundary value problems of the type−Dq0+u(t) = f(t, u(t)), 1 < q ≤ 2, 0 < t < 1,u(0) = 0, u(1) =m−2∑ i=1δiu(ηi),where Dq0+ represents standard Riemann-Liouville fractional derivative, δi, ηi ∈ (0, 1) withm−2∑i=1δiηi q−1 < 1, and f : [0, 1] × [0, ∞) → [0, ...

Positive Solutions for Nonlinear Differential Equations with Periodic Boundary Condition

Positive solutions for fractional differential equation involving the Riemann-Stieltjes integral conditions with two parameters

Through the application of the upper-lower solutions method and the fixed point theorem on cone, under certain conditions, we obtain that there exist appropriate regions of parameters in which the fractional differential equation has at least one or no positive solution. In the end, an example is worked out to illustrate our main results. c ©2016 All rights reserved.