Parametric superlinear double phase problems with singular term and critical growth on the boundary

Superlinear Singular Problems on the Half Line

Copyright q 2010 I. Rachůnková and J. Tomeček. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The paper studies the singular differential equation p t u′ ′ p t f u , which has a singularity at t 0. Here the existence of strictly ...

Positive solutions to superlinear semipositone periodic boundary value problems with repulsive weak singular forces

K e y w o r d s P e r i o d i c boundary value problem, Singular, Positive solutions, Fixed-point theorem in cones. 1. I N T R O D U C T I O N In th is paper , we are devoted to s t u d y the exis tence of posi t ive so lu t ions to per iodic b o u n d a r y value problem, x" + a( t )x = f ( t , x), 0 < t < 1, (I . I) x(0) = x(1), x ' (0) = x ' (1) ; here, a( t ) E L i[0, 1] satisfies t h e con...

Boundary Value Problems with Singular Boundary Conditions

Singular boundary conditions are formulated for non-selfadjoint Sturm-Liouville operators with singularities and turning points. For boundary value problems with singular boundary conditions properties of the spectrum are studied and the completeness of the system of root functions is proved.

Detecting the location of the boundary layers in singular perturbation problems with general linear non-local boundary ‎conditions‎

Singular perturbation problems have been studied by many mathematicians. Since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or non-formation of boundary layers should be specified. This paper, investigates this issue for a singular perturbation problem including a first order differential equation with gen...

An Existence Result of Positive Solutions for Singular Superlinear Boundary Value Problems and Its Applications