Second order evolution equations with nonlocal conditions

• Autorzy: Benchohra M. , Nieto J. J. , Rezoug N.

Identyfikatory

DOI

10.1515/dema-2017-0029

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

second order differential equations; mild solution; evolution system; Fréchet space; nonlocal condition; Hausdorff's measure of noncompactness

PL

równanie różniczkowe drugiego rzędu; rozwiązanie całkowe; system ewolucyjny; przestrzeń Frécheta; warunki nielokalne; miara Hausdorffa; brak zgodności

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2017
• Tom: Vol. 50, nr 1
• Strony: 309--319
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Benchohra M.

• Laboratory of Mathematics, Djilali Liabes University of Sidi Bel-Abbes, PO Box 89, Sidi Bel-Abbes 22000, Algeria

autor

Nieto J. J.

• Departamento de Analise Matematicá, Facultade de Matemticás, Universidade de Santiago de Compostela, 15782-Santiago de Compostela, Spain

autor

Rezoug N.

• Laboratory of Mathematics, Djilali Liabes University of Sidi Bel-Abbes, PO Box 89, Sidi Bel-Abbes 22000, Algeria

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).