Existence results for a partial neutral integro-differential equation with state-dependent delay.
Dos Santos, J.P.C. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Dos Santos, J.P.C. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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dos Santos, José Paulo Carvalho, Cuevas, Claudio, de Andrade, Bruno (2011)
Advances in Difference Equations [electronic only]
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Hernandez, E., Henriquez, H.R., Dos Santos, J.P.C. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Mouffak Benchohra, Benaouda Hedia (2010)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper we study the existence of solutions for impulsive differential equations with state dependent delay. Our results are based on the Leray–Schauder nonlinear alternative and Burton–Kirk fixed point theorem for the sum of two operators.
Berezansky, Leonid, Diblík, Josef, Šmarda, Zdenĕk (2010)
Advances in Difference Equations [electronic only]
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Burton, T.A. (2005)
Fixed Point Theory and Applications [electronic only]
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Tunç, Cemil (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Balachandran, Krishnan, Kim, Jeong-Hoon, Leelamani, Arunachalam (2006)
Applied Mathematics E-Notes [electronic only]
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Eduardo M. Hernández, Donal O'Regan (2011)
Czechoslovak Mathematical Journal
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In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay. A concrete application to partial neutral integro-differential equations is considered.