Second order evolution equations with nonlocal conditions

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2017_Dema_Nieto_Second.pdf (372.08 KB)
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URI: http://hdl.handle.net/10347/17586
E-ISSN: 2391-4661
DOI: 10.1515/dema-2017-0029

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2017

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De Gruyter
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Abstract

In this paper, we shall establish su cient 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.

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Second order diferential equations| Mild solution| Evolution system| Fréchet space| Nonlocal condition| Hausdorff’s measures of noncompactness

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Benchohra, M., Nieto, J. & Rezoug, N. (2017). Second order evolution equations with nonlocal conditions. Demonstratio Mathematica, 50(1), pp. 309-319. doi:10.1515/dema-2017-0029

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© 2017 Mouffak Benchohra et al. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License

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Estatística, Análise Matemática e Optimización