Fractional differential equations with a constant delay: Stability and asymptotics of solutions

J Čermák, Z Došlá, T Kisela - Applied Mathematics and Computation, 2017 - Elsevier
The paper discusses stability and asymptotic properties of a fractional-order differential
equation involving both delayed as well as non-delayed terms. As the main results, explicit …

[PDF][PDF] Representation and stability of solutions of systems of functional differential equations with multiple delays

M Pospíšil - Electronic Journal of Qualitative Theory of Differential …, 2012 - real.mtak.hu
This paper is devoted to the study of systems of nonlinear functional differential equations
with time-dependent coefficients and multiple variable increasing delays represented by …

[HTML][HTML] Representation of solutions of discrete linear delay systems with non permutable matrices

NI Mahmudov - Applied Mathematics Letters, 2018 - Elsevier
We introduce a discrete delayed exponential depending on sequence of matrices. This
discrete matrix gives a representation of a solution to the Cauchy problem for a discrete …

Relative controllability of delay differential systems with impulses and linear parts defined by permutable matrices

Z You, JR Wang, D O'Regan… - Mathematical Methods in …, 2019 - Wiley Online Library
This paper investigates the relative controllability of delay differential systems with linear
impulses and linear parts defined by permutable matrices. We use the impulsive delay …

[HTML][HTML] A novel fractional delayed matrix cosine and sine

NI Mahmudov - Applied Mathematics Letters, 2019 - Elsevier
We introduce the fractional delayed matrix cosine and sine functions and use the variation of
constants method to obtain an explicit formula for a solution to the initial value problem for a …

Representation of the solutions of linear discrete systems with constant coefficients and two delays

J Diblík, B Morávková - Abstract and Applied Analysis, 2014 - Wiley Online Library
The purpose of this paper is to develop a method for the construction of solutions to initial
problems of linear discrete systems with constant coefficients and with two delays Δx (k)= Bx …

Stability and the nonexistence of blowing-up solutions of nonlinear delay systems with linear parts defined by permutable matrices

M Medved, M Pospišil, L Škripková - Nonlinear Analysis: Theory, Methods …, 2011 - Elsevier
Stability and the nonexistence of blowing-up solutions of nonlinear delay systems with linear
parts defined by permutable matrices - ScienceDirect Skip to main contentSkip to article …

Discrete matrix delayed exponential for two delays and its property

J Diblík, B Morávková - Advances in Difference Equations, 2013 - Springer
In recent papers, a discrete matrix delayed exponential for a single delay was defined and
its main property connected with the solution of linear discrete systems with a single delay …

Stability of impulsive delay differential equations

Z You, JR Wang - Journal of Applied Mathematics and Computing, 2018 - Springer
In this paper, we introduce impulsive delayed matrix function and give its norm estimation.
With the help of impulsive delayed Cauchy matrix and the variation of constants method, we …

Finite time stability of semilinear delay differential equations

Z Luo, W Wei, JR Wang - Nonlinear dynamics, 2017 - Springer
In this paper, we study finite time stability for two classes of nonlinear delay differential
equations, one is equation with a nonlinearity independent of delay and the other is …