Results 1 to 10 of about 113,004 (164)
Exponential Polynomials and Nonlinear Differential-Difference Equations [PDF]
Journal of Function Spaces, 2020 In this paper, we study finite-order entire solutions of nonlinear differential-difference equations and solve a conjecture proposed by Chen, Gao, and Zhang when the solution is an exponential polynomial.
Junfeng Xu, Jianxun Rong
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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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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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Three complex differential-difference equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, we propose three complex differential-difference equations related to the integrable differential-difference equations.
Hasi Gegen, Xing-Biao Hu
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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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Differential difference inequalities related to parabolic functional differential equations [PDF]
Opuscula Mathematica, 2010 Initial boundary value problems for nonlinear parabolic functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations.
Milena Netka
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Perturbative Symmetry Approach for Differential–Difference Equations
Communications in Mathematical Physics, 2022 AbstractWe propose a new method to tackle the integrability problem for evolutionary differential–difference equations of arbitrary order. It enables us to produce necessary integrability conditions, to determine whether a given equation is integrable or not, and to advance in classification of integrable equations.
Mikhailov, A.V. +2 more
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Stability for Differential Difference Equations
Journal of Mathematical Analysis and Applications, 1993 The authors consider the retarded differential difference equation \(\dot x(t)=A_ 0 x(t)+\sum^ N_{k=1} A_ k x(t-\gamma_ k\cdot r)\) and the neutral differential difference equation \[ {d\over {dt}} \left[ x(t)- \sum^ N_{k=1} B_ k x(t-\gamma_ k\cdot r)\right] =A_ 0 x(t)+ \sum^ N_{k=1} A_ k x(t-\gamma_ k\cdot r), \] where \(x\in\mathbb{R}^ n\), each \(A_
Liao, X.X., Wang, X.J.
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