Existence of solutions for impulsive partial stochastic neutral integrodifferential equations with state-dependent delay

• Autores: Zuomao Yan, Xingxue Yan
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 64, Fasc. 2, 2013, págs. 235-250
• Idioma: inglés
• DOI: 10.1007/s13348-012-0063-2
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• Resumen

  • In this paper, we consider the existence of mild solutions for a class of impulsive partial stochastic neutral integrodifferential equations with state-dependent delay in an α-norm. Sufficient conditions for the existence of mild solutions are established using the Krasnoselskii–Schaefer type fixed point theorem with the fractional power of operators. An example is given to illustrate our results.