Existence of mild solutions of random impulsive functional differential equations with almost sectorial operators


Authors

A. Anguraj - Department of Mathematics, P. S.G. College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India. M. C. Ranjini - Department of Mathematics, P. S. G. College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India.


Abstract

By using the theory of semigroups of growth \(\alpha\), we prove the existence and uniqueness of the mild solution for the random impulsive functional differential equations involving almost sectorial operators. An example is given to illustrate the theory.


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ISRP Style

A. Anguraj, M. C. Ranjini, Existence of mild solutions of random impulsive functional differential equations with almost sectorial operators, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 3, 174--185

AMA Style

Anguraj A., Ranjini M. C., Existence of mild solutions of random impulsive functional differential equations with almost sectorial operators. J. Nonlinear Sci. Appl. (2012); 5(3):174--185

Chicago/Turabian Style

Anguraj, A., Ranjini, M. C.. "Existence of mild solutions of random impulsive functional differential equations with almost sectorial operators." Journal of Nonlinear Sciences and Applications, 5, no. 3 (2012): 174--185


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