An existence theorem for a singular third-order boundary value problem on [0,+∞)

Positive Solutions for a Singular Third Order Boundary Value Problem

The existence of positive solutions is shown for the third order boundary value problem, u′′′ = f (x,u),0 < x < 1, u(0) = u(1) = u′′(1) = 0, where f (x,y) is singular at x = 0 , x = 1 , y = 0 , and may be singular at y = ∞. The method involves application of a fixed point theorem for operators that are decreasing with respect to a cone. Mathematics subject classification (2010): 34B16, 34B18.

Existence of Unbounded Solutions for a Third-Order Boundary Value Problem on Infinite Intervals

A Novel Finite Difference Method of Order Three for the Third Order Boundary Value Problem in ODEs

In this article we have developed third order exact finite difference method for the numerical solution of third order boundary value problems. We constructed our numerical technique without change in structure of the coefficient matrix of the second-order method in cite{Pand}. We have discussed convergence of the proposed method. Numerical experiments on model test problems approves the simply...

The existence of positive solutions for a class of singular third-order three-point boundary value problem

The existence of positive solutions for a class of singular third-order three-point boundary value problem is considered by using Guo-Krasnosel’skii fixed point theorem of cone expansion-compression type. In this class of problem, the nonlinear term is allowed to be singular. Main results show that this class of problem can have positive solutions provided that the conditions on the nonlinear t...

Existence of positive solutions for a second-order p-Laplacian impulsive boundary value problem on time scales

In this paper, we investigate the existence of positive solutions for a second-order multipoint p-Laplacian impulsive boundary value problem on time scales. Using a new fixed point theorem in a cone, sufficient conditions for the existence of at least three positive solutions are established. An illustrative example is also presented.