Asymptotic Stability Results for a System of Diffusion Equations

1977 ◽  
pp. 167-174 ◽  
Author(s):  
Alberto Tesei
Keyword(s):  
Asymptotic Stability ◽  
Diffusion Equations ◽  
Stability Results

scholarly journals ON STABILITY CRITERIA OF FRACTAL DIFFERENTIAL SYSTEMS OF CONFORMABLE TYPE

Fractals ◽  
2020 ◽  
Vol 28 (08) ◽  
pp. 2040009
Author(s):  
AWAIS YOUNUS ◽  
THABET ABDELJAWAD ◽  
TAZEEN GUL
Keyword(s):  
Asymptotic Stability ◽  
Control Theory ◽  
Stability Criteria ◽  
Differential Systems ◽  
Central Concern ◽  
Finite Dimensional ◽  
Linear And Nonlinear ◽  
Stability Results

In this paper, stability results of central concern for control theory are given for finite-dimensional linear and nonlinear local fractional or fractal differential systems. The main purpose of this paper is to provide some results on stability and asymptotic stability of conformable order systems, together with some illustrating examples.

scholarly journals Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity

2018 ◽  
Vol 99 (1) ◽  
pp. 50-74 ◽  
Author(s):  
Mohammad M. Al-Gharabli ◽  
Aissa Guesmia ◽  
Salim A. Messaoudi
Keyword(s):  
Asymptotic Stability ◽  
Viscoelastic Plate ◽  
Well Posedness ◽  
Plate Equation ◽  
Stability Results

scholarly journals Asymptotic Stability Results for Nonlinear Fractional Difference Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Fulai Chen ◽  
Zhigang Liu
Keyword(s):  
Fixed Point ◽  
Asymptotic Stability ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Difference Equations ◽  
Stability Of Solutions ◽  
Fractional Difference ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Fractional Difference Equations ◽  
Stability Results

We present some results for the asymptotic stability of solutions for nonlinear fractional difference equations involvingRiemann-Liouville-likedifference operator. The results are obtained by using Krasnoselskii's fixed point theorem and discrete Arzela-Ascoli's theorem. Three examples are also provided to illustrate our main results.

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