Semilinear evolution equations on discrete time and maximal regularity

被引：7

作者：

Cuevas, Claudio ^{[2
]}

Lizama, Carlos ^{[1
]}

机构：

[1] Univ Santiago Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

[2] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 361卷 / 01期

关键词：

Discrete time; Forward difference operator; Semilinear evolution equations; Discrete maximal regularity; Stability; FOURIER MULTIPLIER THEOREMS; INTEGRODIFFERENTIAL EQUATIONS; INFINITE DELAY; STABILITY; SPACES;

D O I：

10.1016/j.jmaa.2009.08.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence and stability of solutions for semilinear equations on Banach spaces by using recent characterizations of discrete maximal regularity. As application we examine the asymptotic behavior of discrete control systems. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：234 / 245

页数：12

共 50 条

[1] Maximal regularity of evolution equations on discrete time scales
Portal, P
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 304 (01) : 1 - 12
[2] Maximal regularity of discrete and continuous time evolution equations
Blunck, S
STUDIA MATHEMATICA, 2001, 146 (02) : 157 - 176
[3] Semilinear evolution equations of second order via maximal regularity
Cuevas, Claudio
Lizama, Carlos
ADVANCES IN DIFFERENCE EQUATIONS, 2008,
[4] Discrete maximal regularity of time-stepping schemes for fractional evolution equations
Bangti Jin
Buyang Li
Zhi Zhou
Numerische Mathematik, 2018, 138 : 101 - 131
[5] Discrete maximal regularity of time-stepping schemes for fractional evolution equations
Jin, Bangti
Li, Buyang
Zhou, Zhi
NUMERISCHE MATHEMATIK, 2018, 138 (01) : 101 - 131
[6] Maximal regularity for semilinear non-autonomous evolution equations in temporally weighted spaces
Hossni, Tebbani
Mahdi, Achache
ARABIAN JOURNAL OF MATHEMATICS, 2022, 11 (03) : 539 - 547
[7] Maximal regularity for semilinear non-autonomous evolution equations in temporally weighted spaces
Tebbani Hossni
Achache Mahdi
Arabian Journal of Mathematics, 2022, 11 : 539 - 547
[8] Maximal lp-regularity for discrete time Volterra equations with delay
Lizama, Carlos
Murillo-Arcila, Marina
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019, 25 (9-10) : 1344 - 1362
[9] Maximal regularity in lp spaces for discrete time fractional shifted equations
Lizama, Carlos
Murillo-Arcila, Marina
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (06) : 3175 - 3196
[10] Maximal regularity for nonautonomous evolution equations
Amann, H
ADVANCED NONLINEAR STUDIES, 2004, 4 (04) : 417 - 430

← 1 2 3 4 5 →