Asymptotic Stability of Implicit Fractional Volterra Integrodifferential Equations

2020 ◽  
pp. 413-426
Author(s):  
Kausika Chellamuthu
Keyword(s):  
Asymptotic Stability ◽  
Integrodifferential Equations

scholarly journals Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Yuexin Yu ◽  
Liping Wen
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Analytical Solution ◽  
Global Stability ◽  
Numerical Solution ◽  
Integrodifferential Equations ◽  
Neutral Delay ◽  
Numerical Tests ◽  
Theoretical Results

This paper is concerned with the numerical solution of nonlinear neutral delay integrodifferential equations (NDIDEs). The adaptation of one-leg methods is considered. It is proved that anA-stable one-leg method can preserve the global stability and a stronglyA-stable one-leg method can preserve the asymptotic stability of the analytical solution of nonlinear NDIDEs. Numerical tests are given to confirm the theoretical results.

Asymptotic stability of impulsive stochastic partial integrodifferential equations with delays

Stochastics ◽  
2014 ◽  
Vol 86 (4) ◽  
pp. 696-706 ◽  
Author(s):  
Mamadou Abdoul Diop ◽  
Khalil Ezzinbi ◽  
Modou Lo
Keyword(s):  
Asymptotic Stability ◽  
Integrodifferential Equations

scholarly journals Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
E. Messina ◽  
A. Vecchio
Keyword(s):  
Asymptotic Stability ◽  
Asymptotic Behaviour ◽  
Numerical Stability ◽  
Second Order ◽  
Integrodifferential Equations ◽  
Discrete Equations ◽  
Homogeneous Linear

We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of their solutions under hypothesis on the sign of the coefficients and of the first- and second-order differences. The results are then used to analyse the numerical stability of some classes of Volterra integrodifferential equations.

scholarly journals Global asymptotic stability of a periodic system of delay logistic equations

1996 ◽  
Vol 53 (3) ◽  
pp. 373-389 ◽  
Author(s):  
R.A. Ahlip ◽  
R.R. King
Keyword(s):  
Periodic Solution ◽  
Asymptotic Stability ◽  
Global Asymptotic Stability ◽  
Sufficient Conditions ◽  
Integrodifferential Equations ◽  
Population System ◽  
Globally Asymptotically Stable ◽  
Logistic Equations ◽  
Negative Feedbacks ◽  
System Of Integrodifferential Equations

Sufficient conditions are obtained for the existence and global asymptotic stability of a periodic solution in Volterra's population system of integrodifferential equations with periodic coefficients. It is shown that if (i) the intraspecific negative feedbacks are instantaneous and dominate the interspecific effects (ii) the minimum possible growth rates are stronger than the maximum interspecific effects weighted with the respective sizes of all species, when they are near their potential maximum sizes, then the system of integrodifferential equations has a unique componentwise periodic solution which is globally asymptotically stable.

scholarly journals Pth mean asymptotic stability and integrability of Itô-Volterra integrodifferential equations

Filomat ◽  
2009 ◽  
Vol 23 (3) ◽  
pp. 181-197
Author(s):  
Svetlana Jankovic ◽  
Maja Obradovic
Keyword(s):  
Asymptotic Stability ◽  
Convergence Rates ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Integrodifferential Equations ◽  
Asymptotic Convergence ◽  
Non Linear ◽  
And Diffusion

Sufficient conditions for the pth mean stability and integrability of the solutions to non-linear It?-Volterra integrodifferential equations with nonconvolution drift and diffusion terms are investigated in this paper. Asymptotic convergence rates in pth moment sense are also discussed for the convolution case with infinite delay.

scholarly journals Lyapunov stability solutions of fractional integrodifferential equations

2004 ◽  
Vol 2004 (47) ◽  
pp. 2503-2507 ◽  
Author(s):  
Shaher Momani ◽  
Samir Hadid
Keyword(s):  
Asymptotic Stability ◽  
Lyapunov Stability ◽  
Integrodifferential Equations ◽  
Stability Conditions ◽  
Initial Condition ◽  
Gronwall’S Lemma ◽  
Schwartz Inequality ◽  
Asymptotic Stability Conditions

Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equationsx(α)(t)=f(t,x(t))+∫t0tk(t,s,x(s))ds,0<α≤1, with the initial conditionx(α−1)(t0)=x0, have been investigated. Our methods are applications of Gronwall's lemma and Schwartz inequality.

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