Geodesic
Existence of mild solutions of random impulsive functional differential equations with almost sectorial operators
Anguraj, A.1 ; Ranjini, M. C.2
1 Department of Mathematics, P. S.G. College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India
2 Department of Mathematics, P. S. G. College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India
Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 3, p. 174-185.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.005.03.02
Classification : 34A37, 35R10, 46C05
Keywords: Impusive differential equations, random impulses, almost sectorial operator, semigroup of growth \(\alpha\), mild solution

Anguraj, A. 1 ; Ranjini, M. C. 2

1 Department of Mathematics, P. S.G. College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India
2 Department of Mathematics, P. S. G. College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India 
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Anguraj, A.; Ranjini, M. C. Existence of mild solutions of random impulsive functional differential equations with almost sectorial operators. Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 3, p. 174-185. doi : 10.22436/jnsa.005.03.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.005.03.02/

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