Triple positive solutions for third-order -point boundary value problems on time scales.
Triple positive solutions to initial-boundary value problems of nonlinear delay differential equations.
Truncated gradient flows of the van der Waals free energy.
Twin positive solutions of a nonlinear -point boundary value problem for third-order -Laplacian dynamic equations on time scales.
Two modifications of the Leggett-Williams fixed point theorem and their applications.
Two positive solutions for a nonlinear four-point boundary value problem with a p-Laplacian operator.
Two-point boundary value problems for the generalized Bagley-Torvik fractional differential equation
We investigate the fractional differential equation u″ + A c D α u = f(t, u, c D μ u, u′) subject to the boundary conditions u′(0) = 0, u(T)+au′(T) = 0. Here α ∈ (1, 2), µ ∈ (0, 1), f is a Carathéodory function and c D is the Caputo fractional derivative. Existence and uniqueness results for the problem are given. The existence results are proved by the nonlinear Leray-Schauder alternative. We discuss the existence of positive and negative solutions to the problem and properties of their derivatives....
Two-points boundary value problems for Carathéodory second order equations
Using a suitable version of Mawhin’s continuation principle, we obtain an existence result for the Floquet boundary value problem for second order Carathéodory differential equations by means of strictly localized bounding functions.