Continuous dependence on data for bilocal difference equations

2009 ◽  
Vol 15 (5) ◽  
pp. 511-527 ◽  
Author(s):  
G. Apreutesei ◽  
N. Apreutesei
Keyword(s):  
Difference Equations ◽  
Continuous Dependence ◽  
Continuous Dependence On Data

scholarly journals Anti-periodic traveling wave solutions to a class of higher-order Kadomtsev-Petviashvili-Burgers equations

1994 ◽  
Vol 7 (1) ◽  
pp. 1-12
Author(s):  
Sergiu Aizicovici ◽  
Yun Gao ◽  
Shih-Liang Wen
Keyword(s):  
Traveling Wave ◽  
Continuous Dependence ◽  
Traveling Wave Solutions ◽  
Higher Order ◽  
Two Dimensional ◽  
Burgers Equations ◽  
Wave Solutions ◽  
Periodic Traveling Wave ◽  
Continuous Dependence On Data

We discuss the existence, uniqueness, and continuous dependence on data, of anti-periodic traveling wave solutions to higher order two-dimensional equations of Korteweg-deVries type.

Nonuniform Stability of Difference Equations with Infinite Delay

2010 ◽  
Vol 10 (1) ◽  
Author(s):  
Luis Barreira ◽  
Claudia Valls
Keyword(s):  
Difference Equations ◽  
Continuous Dependence ◽  
Dimensional Space ◽  
Infinite Delay ◽  
Nonlinear Perturbations ◽  
Higher Dimensional ◽  
Linear And Nonlinear ◽  
Delay Difference Equations ◽  
Delay Difference

AbstractIn this note we consider the notion of nonuniform exponential contraction for delay difference equations with infinite delay (one can argue that the only delay difference equations are those with infinite delay, since otherwise we can always bring them to the standard recurrence form in some higher-dimensional space). We consider the general case of a nonautonomous dynamics. Our main objective is to show that exponential contractions persist under sufficiently small linear and nonlinear perturbations. This includes establishing the continuous dependence with the perturbation of the constants in the notion of contraction. We also characterize the nonuniform exponential contractions in terms of strict Lyapunov sequences, in particular by constructing explicitly a strict Lyapunov sequence for each exponential contraction.

Continuous Dependence on Data for Solutions of Fractional Extended Fisher–Kolmogorov Equation

2018 ◽  
Vol 19 (7-8) ◽  
pp. 735-739
Author(s):  
Pengyu Chen ◽  
Zhen Xin ◽  
Jiahui An
Keyword(s):  
Boundary Value Problem ◽  
General Class ◽  
Continuous Dependence ◽  
Mild Solutions ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Kolmogorov Equation ◽  
Initial Boundary Value ◽  
Continuous Dependence On Data

AbstractThis paper is concerned with the continuous dependence of mild solutions on initial values and orders for a general class of initial boundary-value problem to fractional extended Fisher–Kolmogorov equation. The results obtained in this paper can be considered as a contribution to this emerging field.

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