10 research outputs found
The existence of positive solution for singular boundary value problems of first order differential equation on unbounded domains
A second-order periodic boundary value problem with singular and discontinuous nonlinearity
Multiple positive solutions for multi-point boundary value problems with a p-Laplacian on the half-line
Unbounded positive solutions for m-point time-scale boundary value problems on infinite intervals
A unified approach to singular problems arising in the membrane theory
summary:We consider the singular boundary value problem where is a given continuous function defined on the set which can have a time singularity at and a space singularity at . Moreover, , , and , , are real constants such that , whereas . The main aim of this paper is to discuss the existence of solutions to the above problem and apply the general results to cover certain classes of singular problems arising in the theory of shallow membrane caps, where we are especially interested in characterizing positive solutions. We illustrate the analytical findings by numerical simulations based on polynomial collocation