Stability of solutions of differential-difference equations with periodic coefficients

1968 ◽  
pp. 163-176
Author(s):  
Z. I. Rehlickiĭ
Keyword(s):  
Difference Equations ◽  
Stability Of Solutions ◽  
Periodic Coefficients

Stability of solutions of linear difference equations with periodic coefficients

1996 ◽  
Vol 64 (5) ◽  
pp. 959-966 ◽  
Author(s):  
Ya. Z. TSYPKIN ◽  
P. C. PARKS ◽  
A. N. VISHNYAKOV ◽  
K. WARWICK
Keyword(s):  
Difference Equations ◽  
Stability Of Solutions ◽  
Linear Difference Equations ◽  
Periodic Coefficients

Oscillations in difference equations with periodic coefficients

1992 ◽  
Vol 58 (5) ◽  
pp. 453-461 ◽  
Author(s):  
Ch. G. Philos
Keyword(s):  
Difference Equations ◽  
Periodic Coefficients

Stability of solutions of generalized logistic difference equations

1995 ◽  
Vol 69 (1-2) ◽  
pp. 127-134
Author(s):  
W. Briden ◽  
S. Zhang
Keyword(s):  
Difference Equations ◽  
Stability Of Solutions

Stability of Solutions of Differential-operator and Operator-difference Equations in the Sense of Perturbation of Operators

2006 ◽  
Vol 6 (3) ◽  
pp. 269-290 ◽  
Author(s):  
B. S. Jovanović ◽  
S. V. Lemeshevsky ◽  
P. P. Matus ◽  
P. N. Vabishchevich
Keyword(s):  
Differential Operator ◽  
Difference Equations ◽  
Hyperbolic Equations ◽  
Second Order ◽  
Difference Schemes ◽  
Order Differential Operator ◽  
Stability Of Solutions ◽  
Operator Equations ◽  
The Difference ◽  
Coefficient Stability

Abstract Estimates of stability in the sense perturbation of the operator for solving first- and second-order differential-operator equations have been obtained. For two- and three-level operator-difference schemes with weights similar estimates hold. Using the results obtained, we construct estimates of the coefficient stability for onedimensional parabolic and hyperbolic equations as well as for the difference schemes approximating the corresponding differential problems.

scholarly journals Solvability and Stability of Impulsive Set Dynamic Equations on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-19 ◽  
Author(s):  
Shihuang Hong ◽  
Jing Gao ◽  
Yingzi Peng
Keyword(s):  
Differential Equations ◽  
Time Scales ◽  
Difference Equations ◽  
Time Scale ◽  
Dynamic Equations ◽  
Stability Of Solutions ◽  
Real Numbers ◽  
Generalized Derivative ◽  
Special Cases ◽  
Existence And Stability

A class of new nonlinear impulsive set dynamic equations is considered based on a new generalized derivative of set-valued functions developed on time scales in this paper. Some novel criteria are established for the existence and stability of solutions of such model. The approaches generalize and incorporate as special cases many known results for set (or fuzzy) differential equations and difference equations when the time scale is the set of the real numbers or the integers, respectively. Finally, some examples show the applicability of our results.

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