Results 1 to 10 of about 2,259,648 (327)
Asymptotic Stability of Solutions to a Class of Second-Order Delay Differential Equations
Mathematics, 2021 We consider a class of second-order nonlinear delay differential equations with periodic coefficients in linear terms. We obtain conditions under which the zero solution is asymptotically stable. Estimates for attraction sets and decay rates of solutions
Gennadii V. Demidenko +1 more
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On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms
Mathematics, 2023 We consider a class of strictly pseudohyperbolic equations with lower order terms. The solvability of the Cauchy problem in Sobolev spaces with special weights is established. The uniqueness of the solution is proven and estimates are obtained.
Lina N. Bondar, Gennadii V. Demidenko
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Mathematics, 2021 We consider a system of differential equations with two delays describing plankton–fish interaction. We analyze the case when the equilibrium point of this system corresponding to the presence of only phytoplankton and the absence of zooplankton and fish
Maria A. Skvortsova
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On differential approximations of difference schemes [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The concept of the first differential approximation was introduced in the 1950s for the analysis of difference schemes by A. I. Zhukov and then was used to study the quality of difference schemes approximating equations in partial derivatives.
Blinkov, Yuri Anatolievich +2 more
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Z-transform solution for nonlinear difference equations
Al-Mustansiriyah Journal of Science, 2021 The aim of this paper is to study Z-transform to solve non-linear difference equations, after converting them to linear difference equations by one of the conversion methods.
Eman A. Hussain, Asmaa Salih Jasim
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On a class of nonlinear rational systems of difference equations
AIMS Mathematics, 2023 In this paper, we construct and formulate the solutions and periodicity character of the following nonlinear rational systems of difference equations: $ \begin{equation} S_{n+1} = \dfrac{T_{n} S_{n-2}}{S_{n-2} + T_{n-1}},\quad T_{n+1} = \dfrac{S_{n ...
Ibraheem M. Alsulami, E. M. Elsayed
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On Some Solvable Systems of Some Rational Difference Equations of Third Order
Mathematics, 2023 Our aim in this paper is to obtain formulas for solutions of rational difference equations such as xn+1=1±xn−1yn/1−yn,yn+1=1±yn−1xn/1−xn, and xn+1=1±xn−1yn−2/1−yn,yn+1=1±yn−1xn−2/1−xn, where the initial conditions x−2, x−1, x0, y−2, y−1, y0 are non-zero ...
Khalil S. Al-Basyouni +1 more
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Nonlocal Integro-Differential Equations of the Second Order with Degeneration
Mathematics, 2020 We study the solvability for boundary value problems to some nonlocal second-order integro–differential equations that degenerate by a selected variable.
Aleksandr I. Kozhanov
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Difference equations with impulses [PDF]
Opuscula Mathematica, 2019 Difference equations with impulses are studied focussing on the existence of periodic or bounded orbits, asymptotic behavior and chaos. So impulses are used to control the dynamics of the autonomous difference equations.
Marius Danca +2 more
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Unbounded rational systems with nonconstant coefficients
Nonautonomous Dynamical Systems, 2022 We show the existence of unbounded solutions to difference equations of the form {xn+1=c′nxnBnyn,yn+1=bnxn+cnynAn+Cnyn for n=0,1,…,\left\{ {\matrix{{{x_{n + 1}} = {{{{c'}_n}{x_n}} \over {{B_n}{y_n}}},} \hfill \cr {{y_{n + 1}} = {{{b_n}{x_n} + {c_n}
Kudlak Zachary, Vernon R. Patrick
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