The Shooting Method and Nonhomogeneous Multipoint BVPs of Second-Order ODE

The Shooting Method and Nonhomogeneous Multipoint BVPs of Second-Order ODE

Recommended by Kanishka Perera In a recent paper, Sun et al. (2007) studied the existence of positive solutions of nonhomo-geneous multipoint boundary value problems for a second-order differential equation. It is the purpose of this paper to show that the shooting method approach proposed in the recent paper by the first author can be extended to treat this more general problem. This is an ope...

The Shooting Method and Multiple Solutions of Two/Multi-Point BVPs of Second-Order ODE

Within the last decade, there has been growing interest in the study of multiple solutions of twoand multi-point boundary value problems of nonlinear ordinary differential equations as fixed points of a cone mapping. Undeniably many good results have emerged. The purpose of this paper is to point out that, in the special case of second-order equations, the shooting method can be an effective to...

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.

MultiPoint BVPs for Second-Order Functional Differential Equations with Impulses

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