The existence of positive solutions for third-order -Laplacian -point boundary value problems with sign changing nonlinearity on time scales.
Theory of rapid variation on time scales with applications to dynamic equations
In the first part of this paper we establish the theory of rapid variation on time scales, which corresponds to existing theory from continuous and discrete cases. We introduce two definitions of rapid variation on time scales. We will study their properties and then show the relation between them. In the second part of this paper, we establish necessary and sufficient conditions for all positive solutions of the second order half-linear dynamic equations on time scales to be rapidly varying. Note...
Three positive solutions for -Laplacian functional dynamic equations on time scales.
Time-scale-dependent criteria for the existence of positive solutions to -Laplacian multipoint boundary value problem.
Trench's perturbation theorem for dynamic equations.
Triple positive solutions for third-order -point boundary value problems on time scales.