A perturbation theory for the discrete harmonic oscillator equation

被引：0
|
作者：
Cuevas, Claudio [1 ]
de Souza, Julio Cesar [1 ]
机构：
[1] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2010年 / 16卷 / 12期
关键词：
discrete time; stability; discrete maximal regularity; perturbation theory; discrete harmonic oscillator; FOURIER MULTIPLIER THEOREMS; MAXIMAL REGULARITY; INTEGRODIFFERENTIAL EQUATIONS; PARABOLIC EQUATIONS; DIFFERENCE-SCHEMES; PERIODIC-SOLUTIONS; CAUCHY-PROBLEMS; INFINITE DELAY; WELL-POSEDNESS; EXISTENCE;
D O I：
10.1080/10236190902824204
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work deals with the existence, uniqueness and stability of solutions for the semilinear discrete harmonic oscillator equation on Banach spaces by using recent characterization of maximal regularity for a best difference approximation of the discrete harmonic oscillator equation.
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页码：1413 / 1428
页数：16
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