Positive solutions to nonlinear first-order nonlocal BVPs with parameter on time scales.
Positive solutions to singular and delay higher-order differential equations on time scales.
Positivity and stability of the solutions of Caputo fractional linear time-invariant systems of any order with internal point delays.
Practical Stability in Terms of Two Measures for Hybrid Dynamic Systems
We study hybrid dynamic systems on time scales. Using Lyapunov-like functions, we obtain sufficient conditions for practical stability and strict practical stability in terms of two measures for hybrid dynamic systems on time scales.
Reconciliation of discrete and continuous versions of some dynamic inequalities synthesized on time scale calculus
The aim of this paper is to synthesize discrete and continuous versions of some dynamic inequalities such as Radon's Inequality, Bergström's Inequality, Schlömilch's Inequality and Rogers-Hölder's Inequality on time scales in comprehensive form.
Several existence theorems of multiple positive solutions of nonlinear -point BVP for an increasing homeomorphism and homomorphism on time scales.
Solvability of a nonlinear third-order three-point general eigenvalue problem on time scales.
Some dynamic inequalities applicable to partial integrodifferential equations on time scales
The main objective of the paper is to study explicit bounds of certain dynamic integral inequalities on time scales. Using these inequalities we prove the uniqueness of some partial integrodifferential equations on time scales.
Some sublinear dynamic integral inequalities on time scales.
Sturm-Picone comparison theorem of second-order linear equations on time scales.
Successive iteration and positive solutions for nonlinear -point boundary value problems on time scales.
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.
Unbounded oscillation of higher-order nonlinear delay dynamic equations of neutral type with oscillating coefficients.
Variational optimal-control problems with delayed arguments on time scales.
Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales
We propose a concept of weighted pseudo almost automorphic functions on almost periodic time scales and study some important properties of weighted pseudo almost automorphic functions on almost periodic time scales. As applications, we obtain the conditions for the existence of weighted pseudo almost automorphic mild solutions to a class of semilinear dynamic equations on almost periodic time scales.