Second order evolution equations with nonlocal conditions

Demonstratio mathematica

article

Mouffak Benchohra¹  Juan J. Nieto²  Noreddine Rezoug¹ 

[1] Laboratory of Mathematics, Djilali Liabes University of Sidi Bel-Abbes;Universidade de Santiago de Compostela

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

DOI  :  10.1515/dema-2017-0029

学科分类：外科医学

来源: De Gruyter

【 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】

CC BY