Solutions to boundary Cauchy problems with infinite delay

被引：1

作者：

Chang, Jung-Chan ^{[1
]}

Shaw, Sen-Yen ^{[2
]}

机构：

[1] I Shou Univ, Dept Appl Math, Kaohsiung 84008, Taiwan

[2] Lunghwa Univ Sci & Technol, Grad Sch Engn, Tao Yuan 333, Taiwan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 06期

关键词：

Boundary Cauchy problem; C(0)-semigroup; Multiplicative perturbation; Phase space; Infinite delay; FUNCTIONAL-DIFFERENTIAL EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; UNBOUNDED DELAY;

D O I：

10.1016/j.na.2010.05.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence, uniqueness of solutions to boundary Cauchy equations with infinite delay, which are more general than the previous studies. The conclusions are applied to an age dependent population with delay in the birth process. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1670 / 1683

页数：14

共 26 条

[1] [Anonymous], GTM
[2] Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems
Boulite, S.
Maniar, L.
Moussi, M.
[J]. FORUM MATHEMATICUM, 2006, 18 (04) : 611 - 638
[3] On the Volterra integro differential equations and applications
Chang, JC
[J]. SEMIGROUP FORUM, 2003, 66 (01) : 68 - 80
[4] Chang JC, 2007, DYNAM SYST APPL, V16, P625
[5] Solutions to non-autonomous integrodifferential equations with infinite delay
Chang, Jung-Chan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (01) : 137 - 151
[6] DESCH W, 1989, LECT NOTES PURE APPL, V116, P125
[7] DESCH W, 1987, HOUSTON J MATH, V15, P526
[8] FATTORINI HO, 1968, SIAM J CONTROL, V6, P213
[9] GREINER G, 1989, LECT NOTES PURE APPL, V116, P201
[10] LINEARIZED STABILITY FOR HYPERBOLIC EVOLUTION-EQUATIONS WITH SEMILINEAR BOUNDARY-CONDITIONS
GREINER, G
[J]. SEMIGROUP FORUM, 1989, 38 (02) : 203 - 214

← 1 2 3 →