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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Berezansky, Leonid, Diblík, Josef, Šmarda, Zdenĕk (2010)
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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Li, Fang, Zhang, Jun (2011)
Advances in Difference Equations [electronic only]
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Li, Fang, N'guérékata, Gaston M. (2010)
Advances in Difference Equations [electronic only]
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Li, Fang (2011)
Advances in Difference Equations [electronic only]
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Agarwal, Ravi P., Belmekki, Mohammed, Benchohra, Mouffak (2009)
Advances in Difference Equations [electronic only]
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Marshal Anthoni, S., Kim, J.-H., Dauer, J.P. (2004)
International Journal of Mathematics and Mathematical Sciences
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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.