MultiPoint BVPs for Second-Order Functional Differential Equations with Impulses

A Note on the Paper “ Multipoint BVPs for Second - Order Differential Equations with Impulses ”

Existence of Three Monotone Solutions of Nonhomogeneous Multipoint BVPs for Second-Order Differential Equations

Recommended by Jean Mawhin This paper is concerned with nonhomogeneous multipoint boundary value problems of second-order differential equations with one-dimensional p-Laplacian. Sufficient conditions to guarantee the existence of at least three solutions may be not positive of these BVPs are established.

Existence of Positive Solutions for a Class of m-Point Boundary Value Problems

The study of multipoint BVPs for linear second-order ordinary differential equations was initiated by Il’in and Moiseev 1 . Since then many authors studied more general nonlinear multipoint boundary value problems. We refer readers to 2–5 and the references therein. Motivated by works mentioned above, in this paper, we study the existence of positive solutions for the following second-order sin...

Existence, Uniqueness and Constructive Results for Delay Differential Equations

Here, we investigate boundary-value problems (BVPs) for systems of second-order, ordinary, delay-differential equations. We introduce some differential inequalities such that all solutions (and their derivatives) to a certain family of BVPs satisfy some a priori bounds. The results are then applied, in conjunction with topological arguments, to prove the existence of solutions. We then apply ea...

Existence of Solutions of Multi-Point BVPs for Impulsive Functional Differential Equations with Nonlinear Boundary Conditions

Two classes of multi-point BVPs for first order impulsive functional differential equations with nonlinear boundary conditions are studied. Sufficient conditions for the existence of at least one solution to these BVPs are established, respectively. Our results generalize and improve the known ones. Some examples are presented to illustrate the main results. c ©2012 NGA. All rights reserved.