Mild solutions of non-autonomous second order problems with nonlocal initial conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:412

Article

Henriquez, Hernan R.¹  Poblete, Veronica²  Pozo, Juan C.² 

[1] Univ Santiago, USACH, Dept Matemat, Santiago, Chile

[2] Univ Chile, Fac Ciencias, Santiago 3425, Chile

关键词: Second order differential equations in abstract spaces;    Non local conditions;    Nonlinear differential equations;    Evolution operators;    Cosine function of operators;   

DOI  :  10.1016/j.jmaa.2013.10.086

来源: Elsevier

【 摘 要 】

In this paper we establish the existence of mild solutions for a non-autonomous abstract semi-linear second order differential equation submitted to nonlocal initial conditions. Our approach relies on the existence of an evolution operator for the corresponding linear equation and the properties of the Hausdorff measure of non-compactness. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free