Criterion toward understanding non-constant solutions to <i>p</i>-Laplace Neumann boundary value problem

A Boundary Meshless Method for Neumann Problem

Boundary integral equations (BIE) are reformulations of boundary value problems for partial differential equations. There is a plethora of research on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. In this paper, the Neumann problem is reformulated to a BIE, and then moving least squares as a meshless method is describe...

NON-POLYNOMIAL QUARTIC SPLINE SOLUTION OF BOUNDARY-VALUE PROBLEM

Quartic non-polynomial spline function approximation in off step points is developed, for the solution of fourth-order boundary value problems. Using consistency relation of such spline and suitable choice of parameter,we have obtained second, fourth and sixth orders methods. Convergence analysis of sixth order method has been given. The methods are illustrated by some examples, to verify the or...

Existence of Solutions for Fourth-Order Discrete Neumann Boundary Value Problem

In this paper, we investigate the solutions of fourth-order discrete boundary value problem. By using critical point theory the existence of positive solutions and infinitely many solutions are obtained.

Existence of Infinitely Many Nodal Solutions for a Superlinear Neumann Boundary Value Problem

Existence of Positive Solutions for Neumann Boundary Value Problem with a Variable Coefficient

The existence of solutions of Neumann boundary value problem of second-order ordinary differential equations has been studied bymany authors; see Sun et al. 1 , Cabada and Pouso 2 , Cabada et al. 3 , Canada et al. 4 , Chu et al. 5 , Jiang, and Liu 6 , Yazidi 7 , Sun and Li 8 and the references therein. Recently, Chu et al. 5 have studied the existence of positive solution to the Neumann boundar...