Results 11 to 20 of about 33,564 (114)

Asymptotic Regularity and Existence of Time-Dependent Attractors for Second-Order Undamped Evolution Equations with Memory

open access: yesMathematics, 2022
Our purpose in this article is to study the asymptotic behavior of undamped evolution equations with fading memory on time-dependent spaces. By means of the theory of processes on time-dependent spaces, asymptotic a priori estimate and the technique of ...
Xuan Wang, Didi Hu, Chenghua Gao
doaj   +1 more source

On the Connection Problem for Painlevé Differential Equation in View of Geometric Function Theory

open access: yesMathematics, 2020
Asymptotic analysis is a branch of mathematical analysis that describes the limiting behavior of the function. This behavior appears when we study the solution of differential equations analytically.
Rabha W. Ibrahim   +2 more
doaj   +1 more source

On the representation of m as ∑k=−nnϵkk

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
Let A(n,m) be the number of solutions of ∑k=−nnϵkk=m where each ϵk∈{0,1}. We determine the asymptotic behavior of A(n,m) for m=o(n3/2), extending results of van Lint and of Entringer.
Lane Clark
doaj   +1 more source

Subexponential Solutions of Linear Volterra Difference Equations

open access: yesNonautonomous Dynamical Systems, 2015
We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.
Bohner Martin, Sultana Nasrin
doaj   +1 more source

Asymptotic behavior of N-fields Chiral cosmology

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
We perform a detailed analysis for the asymptotic behaviour for the multi-scalar field Chiral cosmological scenario. We present the asymptotic behaviour for the one-field, two-fields and three-fields Chiral models.
Andronikos Paliathanasis, Genly Leon
doaj   +1 more source

A Theorem of Galambos-Bojanić-Seneta Type

open access: yesAbstract and Applied Analysis, 2009
In the theorems of Galambos-Bojanić-Seneta's type, the asymptotic behavior of the functions 𝑐[𝑥],𝑥≥1, for 𝑥→+∞, is investigated by the asymptotic behavior of the given sequence of positive numbers (𝑐𝑛), as 𝑛→+∞ and vice versa.
Dragan Djurčić, Aleksandar Torgašev
doaj   +1 more source

Global Well-Posedness and Determining Nodes of Non-Autonomous Navier–Stokes Equations with Infinite Delay on Bounded Domains

open access: yesMathematics
The asymptotic behavior of solutions to nonlinear partial differential equations is an important tool for studying their long-term behavior. However, when studying the asymptotic behavior of solutions to nonlinear partial differential equations with ...
Huanzhi Ge, Feng Du
doaj   +1 more source

Asymptotic Behavior of Certain Integrodifferential Equations

open access: yesDiscrete Dynamics in Nature and Society, 2016
This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: atx′t′=e(t)+∫ct‍(t-s)α-1k(t,s)f(s,x(s))ds,  c>1 ...
Said Grace, Elvan Akin
doaj   +1 more source

Existence, Uniqueness and Asymptotic Behavior of Solutions for Semilinear Elliptic Equations

open access: yesMathematics
A class of semilinear elliptic differential equations was investigated in this study. By constructing the inverse function, using the method of upper and lower solutions and the principle of comparison, the existence of the maximum positive solution and ...
Lin-Lin Wang   +2 more
doaj   +1 more source

Asymptotic behavior of retarded differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
Some integral criteria for the asymptotic behavior of oscillatory solutions of higher order retarded differential equations are given.
Cheh-Chih Yeh
doaj   +1 more source

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