Equations with infinite delay: Blending the abstract and the concrete
Equations with infinite delay: Blending the abstract and the concrete
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DOI：
10.1016/j.jde.2011.09.038
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发表时间：
2012-01-15
影响因子：
2.4
通讯作者：
Gyllenberg, Mats
中科院分区：
文献类型：
--
作者：
Diekmann, Odo;Gyllenberg, Mats
利用伴随半群的扰动理论（太阳-恒星演算的一种修正），证明了非线性更新方程、时滞微分方程以及这两类方程的耦合系统在无穷时滞情形下的线性化稳定性原理。我们的结果将Diekmann et al.（1995）[13]和Diekmann et al.（2007）[14]的结果推广到无限时滞的情况。(C)2011 Elsevier Inc. All rights reserved.
Using perturbation theory for adjoint semigroups (a modification of sun-star calculus) we prove, in the case of infinite delay, the principle of linearized stability for nonlinear renewal equations, delay-differential equations and coupled systems of these two types of equations. Our results extend those of Diekmann et al. (1995) [13] and Diekmann et al. (2007) [14] to the case of infinite delay. (C) 2011 Elsevier Inc. All rights reserved.