Uniqueness of positive solutions for a class of ODE's with Dirichlet boundary conditions.
Uniqueness of positive solutions of a class of ODE with nonlinear boundary conditions.
Upper and lower solutions method for a class of singular fractional boundary value problems with -Laplacian operator.
Zeros of derivatives of solutions to singular conjugate BVPs
Positive solutions of the singular conjugate BVP are studied. The set of all zeros of their derivatives up to order is described. By means of this, estimates from below of the solutions and the absolute values of their derivatives up to order on the considered interval are reached. Such estimates are necessary for the application of the general existence principle to the BVP under consideration.
-Laplacian BVPs with linear bounded operator conditions
The aim of this paper is to present new existence results for -Laplacian boundary value problems with linear bounded operator conditions. Existence theorems are obtained using the Schauder and the Krasnosel’skii fixed point theorems. Some examples illustrate the results obtained and applications to multi-point boundary value problems are provided.