REPRESENTATION OF A SOLUTION OF THE CAUCHY PROBLEM FOR AN OSCILLATING
SYSTEM WITH TWO DELAYS AND PERMUTABLE MATRICES ЗОБРА Page 1 UDC 517.9 J …

In this paper a generalization of the delayed exponential defined by Khusainov and Shuklin
(2003)[1] for autonomous linear delay systems with one delay defined by permutable …

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 …

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 …

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 …

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 …

Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple
Delays and Pairwise Permutable Matrices - Diblík - 2013 - Abstract and Applied Analysis …

We establish necessary and sufficient conditions for the existence of solutions of a weakly
nonlinear boundary-value problem for a system of integrodifferential equations. By the …

H (t, s)| t− s| β, where H (t, s), H (t, s) are functions bounded in the domain [a, b]×[a, b], 0< γ<
1, 0< β< 1, f∈ L2 [a, b], l= col (l1, l2,..., lp): L2 [a, b]→ Rp, J= col (J1, J2,..., Jp): L2 [a, b]→ Rp …

In this paper, systems of nonlinear differential equations with Caputo fractional derivative
and multiple delays are considered. Using representation of a solution of differential …