Asymptotically exponential solutions in nonlinear integral and differential equations

被引：4

作者：

Gyori, Istvan ^{[1
]}

Hartung, Ferenc ^{[1
]}

机构：

[1] Univ Pannonia, Dept Math, H-8201 Veszprem, Hungary

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 249卷 / 06期

关键词：

Exponential growth/decay; Abstract integral equation; Quasilinear differential equations; Delay equations; Mathematical biology; STRUCTURED POPULATION; SUNFLOWER EQUATION; CELL-POPULATIONS; GROWTH; AGE; MODEL; BEHAVIOR;

D O I：

10.1016/j.jde.2010.06.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate the growth/decay rate of solutions of an abstract integral equation which frequently arises in quasilinear differential equations applying a variation-of-constants formula. These results are applicable to some abstract equations which appear in the theory of age-dependent population models and also to some quasilinear delay differential equations with bounded and unbounded delays. Examples are given to illustrate the sharpness of the results. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1322 / 1352

页数：31

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