Second order evolution equations with nonlocal conditions

Second order evolution equations with nonlocal conditions AbstractIn 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

Second order evolution equations with nonlocal conditions

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Publisher
De Gruyter Open
Copyright
© by Mouffak Benchohra
ISSN
0420-1213
eISSN
2391-4661
D.O.I.
10.1515/dema-2017-0029
Publisher site
See Article on Publisher Site

Abstract

AbstractIn 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.

Journal

Demonstratio Mathematicade Gruyter

Published: Dec 20, 2017

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