This book is devoted to qualitative theory of functional dynamic equations on time scales
and summarizes the most recent contributions in this area. The book is intended for senior …

In this study, a novel matrix method based on Lucas series and collocation points has been
used to solve nonlinear differential equations with variable delays. The application of the …

In this article we study a linear neutral integro-differential equation with variable delays and
give suitable conditions to obtain asymptotic stability of the zero solution, by means of fixed …

In this paper, we use a fixed point technique and the concept of large contractions to prove
asymptotic stability results of the zero solution of a class of the totally nonlinear neutral …

In this paper we use fixed point methods to prove asymptotic stability results of the zero
solution of a class of totally nonlinear neutral differential equations with functional delay. The …

The purpose of this paper is to use a fixed point approach to obtain asymptotic stability
results of a nonlinear neutral differential equation with variable delays. An asymptotic …

Asymptotic stability in Caputo-Hadamard fractional dynamic equations Page 1 Results in
Nonlinear Analysis 4 (2021) No. 2, 77 86 https://doi.org/10.53006/rna.865900 Available online …

The nonlinear neutral integro-differential equation d dt x (t)=-t-τ (t)^ ta (t, s) g\bigl (x (s)\bigr)
ds+ d dt G\bigl (t, x\bigl (t-τ (t)\bigr)\bigr), with variable delay τ (t)≥ 0 is investigated. We find …

In this paper, we use a modification of Krasnoselskii's fixed point theorem introduced by
Burton (2002)(see [6] Theorem 3) to obtain stability results of the zero solution of the totally …

Nonlinear differential equations have many applications in different science and
engineering disciplines. However, a nonlinear differential equation cannot be solved …