Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.
Byszewski, Ludwik (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Byszewski, Ludwik (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Kołodziej, Katarzyna (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Aizicovici, Sergiu, Gao, Yun (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Hernán R. Henríquez, Eduardo Hernández M. (2006)
Annales Polonici Mathematici
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We establish the existence of mild, strong, classical solutions for a class of second order abstract functional differential equations with nonlocal conditions.
Byszewski, L. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Balachandran, K., Chandrasekaran, M. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Akça, Haydar, Boucherif, Abdelkader, Covachev, Valéry (2002)
International Journal of Mathematics and Mathematical Sciences
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Mouffak Benchohra, Sotiris K. Ntouyas (2001)
Mathematica Slovaca
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Hernandez, E., Aki, Sueli M.Tanaka (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Hernán R. Henríquez, Genaro Castillo G. (2003)
Annales Polonici Mathematici
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We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.
Bahuguna, D. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Byszewski, L. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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