Second order evolution equations with nonlocal conditions

Demonstratio Mathematica

Nieto Juan J.¹  Benchohra Mouffak²  Rezoug Noreddine² 

[1] Departamento de Analise Matematicá, Facultade de Matemticás, Universidade de Santiago de Compostela, 15782- Santiago de Compostela, Spain;Laboratory of Mathematics, Djilali Liabes University of Sidi Bel-Abbes, PO Box 89, Sidi Bel-Abbes 22000, Algeria;

关键词: Second order differential equations;    mild solution;    evolution system;    Fréchet space;    nonlocal condition;    Hausdorff’s measures of noncompactness;    34G20;   

DOI  :  10.1515/dema-2017-0029

来源: DOAJ

【 摘 要 】

In this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces. Our approach is based on the concepts of Hausdorff measure, noncompactness and Tikhonoff’s fixed point theorem. We give an example for illustration.

【 授权许可】

Unknown