Second order evolution equations with nonlocal conditions

Second order evolution equations with nonlocal conditions

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...

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Bibliographic Details
Main Authors: Benchohra Mouffak, Nieto Juan J., Rezoug Noreddine
Format: Article
Language:English
Published: De Gruyter 2017-12-01
Series:Demonstratio Mathematica
Subjects:
Second order differential equations
mild solution
evolution system
Fréchet space
nonlocal condition
Hausdorff’s measures of noncompactness
34G20
Online Access:http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0029/dema-2017-0029.xml?format=INT

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http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0029/dema-2017-0029.xml?format=INT

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