A Singular Boundary Value Problem for the One-Dimensionalp-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, ...

APPLICATION OF THE SINGULAR BOUNDARY VALUE PROBLEM FOR INVESTIGATION OF PISTON DYNAMICS UNDER POLYTROPIC EXPANSION PROCESS

In this paper a mathematical simulation of a simplified internal combustion engine is presented. To contribute engine kinematics and its geometry, simple relations are derived for constrained motions. The equation of motion for the piston forms a singular boundary value problem. The uniqueness of the solution was studied in the Banach space. For solving governing equations an iterative numerica...

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

Discrete Neumann boundary value problem for a nonlinear equation with singular φ-Laplacian

which is a discrete analogue of the Neumann problem about the rotationally symmetric spacelike graphs with a prescribed mean curvature function in some Friedmann-Lemaître-Robertson-Walker (FLRW) spacetimes, whereψ (s) := ∫ s 0 dt g(t) ,ψ –1 is the inverse function ofψ , and H :R× [2,N – 1]Z →R is continuous with respect to the first variable. The proofs of the main results are based upon the Br...

Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-Laplacian

and Applied Analysis 3 Define the operator A : P → E by