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Asymptotic behavior of solutions of sum-difference equations [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
In this study, we present an investigation of the asymptotic behavior of solutions of sum-difference equations. Based on some mathematical inequalities, we have obtained our results.
H. Adiguzel, E. Can
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On the Asymptotic Equivalence of Ordinary and Functional Stochastic Differential Equations

Journal of Optimization, Differential Equations and Their Applications, 2023
This paper studies the asymptotic behavior of solutions of linear stochastic functional-differential equations. This behavior is investigated using the method of asymptotic equivalence, according to which an ordinary system of linear differential ...
Olexandr M. Stanzhytskyi, Grygoriy O. Petryna, Maryna V. Hrysenko   +2 more
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Asymptotic behaviour of solutions of quasilinear differential-algebraic equations

Electronic Journal of Qualitative Theory of Differential Equations, 2022
This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations (DAEs) under small nonlinear perturbations.
Vu Hoang Linh, Ngo Nga, Nguyen Tuan
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Asymptotic proximity to higher order nonlinear differential equations

Advances in Nonlinear Analysis, 2022
The existence of unbounded solutions and their asymptotic behavior is studied for higher order differential equations considered as perturbations of certain linear differential equations.
Astashova Irina, Bartušek Miroslav, Došlá Zuzana, Marini Mauro   +3 more
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Asymptotic behavior of solutions of discrete Volterra equations [PDF]

Opuscula Mathematica, 2016
We consider the nonlinear discrete Volterra equations of non-convolution type \[\Delta^m x_n=b_n+\sum\limits_{i=1}^{n}K(n,i)f\left(i,x_i\right), \quad n\geq 1.\] We present sufficient conditions for the existence of solutions with prescribed asymptotic ...
Janusz Migda, Małgorzata Migda
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Oscillatory behavior of solutions to third-order nonlinear differential equations with a superlinear neutral term

Electronic Journal of Differential Equations, 2020
This article studies the oscillatory and asymptotic behavior of solutions to a class of third-order nonlinear differential equations with superlinear neutral term. The results are obtained by a comparison with first-order delay differential equations
Ercan Tunc, Said R. Grace
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Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values

Comptes Rendus. Mathématique, 2023
In this paper, we consider the asymptotic behavior of solutions of Monge–Ampère equations with general boundary value conditions in half spaces, which reveals the accurate effect of boundary value condition on asymptotic behavior and improves the result ...
Jia, Xiaobiao, Li, Xuemei
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Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes Equations

Discrete Dynamics in Nature and Society, 2021
The paper is concerned with the existence and the asymptotic behavior of solutions to a class of generalized Navier–Stokes equations, which generalises the so-called globally modified Navier–Stokes equations. The existence and uniqueness of solutions are
Yonghong Duan, Xiaojuan Chai
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A stability theory for perturbed differential equations

International Journal of Mathematics and Mathematical Sciences, 1979
The problem of determining the behavior of the solutions of a perturbed differential equation with respect to the solutions of the original unperturbed differential equation is studied.
Sheldon P. Gordon
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On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity

Mathematical Modelling and Analysis, 2016
The asymptotic behavior of all solutions to the fourth-order Emden– Fowler type differential equation with singular nonlinearity is investigated. The equation is transformed into a system on the three-dimensional sphere.
Irina Astashova
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