Singular boundary value problems for the one-dimension p-Laplacian

Existence and Uniqueness of Solutions for Boundary Value Problems to the Singular One-Dimension p-Laplacian

Analysis and Numerical Approximation of a Singular Boundary Value Problem for the One-dimensional p-Laplacian

In this work we are concerned about a singular boundary value problem involving the p-laplacian which arises in mathematical models of fluid mechanics. We analyze the asymptotic behavior of the solutions of the considered ordinary differential equation near the singularities and introduce a computational method which takes this behavior into account. Key–Words: Singular boundary value problem, ...

A GENERALIZED UPPER AND LOWER SOLUTION METHOD FOR SINGULAR DISCRETE BOUNDARY VALUE PROBLEMS FOR THE ONE-DIMENSIONAL p-LAPLACIAN

This paper presents new existence results for singular discrete boundary value problems for the one-dimension p-Laplacian. In particular our nonlinearity may be singular in its dependent variable and is allowed to change sign. Our results are new even for p = 2.

Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems

In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-Laplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results.

Boundary Value Problems in One Dimension

While its roots are firmly planted in the finite-dimensional world of matrices and vectors, the full scope of linear algebra is much broader. Its historical development and, hence, its structures, concepts, and methods, were strongly influenced by linear analysis — specifically, the need to solve linear differential equations, linear boundary value problems, linear integral equations, and the l...