Existence of mild solutions of random impulsive functional differential equations with almost sectorial operators
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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
Keywords
- Impusive differential equations
- random impulses
- almost sectorial operator
- semigroup of growth \(\alpha\)
- mild solution
MSC
References
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