This article investigates both basic qualitative and basic quantitative properties of solutions
to first-and higher-order dynamic equations on time scales and thus provides a foundation …

This article investigates the existence of solutions to boundary value problems (BVPs)
involving systems of first-order dynamic equations on time scales subject to two-point …

Here, we investigate systems of boundary value problems for dynamic equations on time
scales. Using a generalized relationship between the boundary conditions and a certain …

This article concerns the existence of positive solutions for p-Laplacian boundary value
problem on time scales. By applying fixed point index we obtain the existence of solutions …

Let T be a time scale such that 0, T∈ T, ai⩾ 0 for i= 1,…, m− 2. Let ξi satisfy 0< ξ1< ξ2<⋯<
ξm− 2< ρ (T) and∑ i= 1m-2ai< 1. We consider the following p-Laplacian m-point boundary …

We are concerned with the existence of positive solutions for second-order superlinear
semipositone Sturm–Liouville boundary value problems on general time scales. In …

This article analyzes a nonlinear system of first-order difference equations with periodic and
non-periodic boundary conditions. Some sufficient conditions are presented under which …

In this paper, we consider a higher-order three-point boundary value problem on time
scales. We study the existence of solutions of a non-eigenvalue problem and of at least one …

The aim of this paper is to investigate some nonlinear dynamic inequalities on time scales,
which provide explicit bounds on unknown functions. The inequalities given here unify and …

We discuss conditions for the existence of at least one positive solution to a nonlinear
second-order Sturm-Liouville-type multipoint eigenvalue problem on time scales. The results …