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Search Results: 1 - 10 of 139119 matches for " K. Balachandran "
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Existence of solutions of general nonlinear fuzzy Volterra-Fredholm integral equations
K. Balachandran,K. Kanagarajan
International Journal of Stochastic Analysis , 2005, DOI: 10.1155/jamsa.2005.333
Abstract: We study the problem of existence and uniqueness of solutions of a class of nonlinear fuzzy Volterra-Fredholm integral equations.
Existence of solutions of a special class of fuzzy integral equations
K. Balachandran,K. Kanagarajan
International Journal of Stochastic Analysis , 2006, DOI: 10.1155/jamsa/2006/52620
Abstract: We prove an existence theorem for a special class of fuzzy integral equations involving fuzzy set-valued mappings. The results are obtained by using the contraction mapping principle.
Null controllability of neutral evolution integrodifferential systems with infinite delay
K. Balachandran,A. Leelamani
Mathematical Problems in Engineering , 2006, DOI: 10.1155/mpe/2006/45468
Abstract: We establish a set of sufficient conditions for the controllability of nonlinear neutral evolution integrodifferential systems with infinite delay in Banach spaces. The results are established by using the Sadovskiĭ fixed point theorem and generalize the previous results.
Existence of solutions of Sobolev-type semilinear mixed integrodifferential inclusions in Banach spaces
M. Kanakaraj,K. Balachandran
International Journal of Stochastic Analysis , 2003, DOI: 10.1155/s104895330300011x
Abstract: The existence of mild solutions of Sobolev-type semilinear mixed integrodifferential inclusions in Banach spaces is proved using a fixed point theorem for multivalued maps on locally convex topological spaces.
On fuzzy Volterra integral equations with deviating arguments
K. Balachandran,P. Prakash
International Journal of Stochastic Analysis , 2004, DOI: 10.1155/s1048953304308014
Abstract: We investigate the problem of existence of solutions of fuzzy Volterra integral equations with deviating arguments. The results are obtained by using the Darbo fixed point theorem.
A note on controllability of semilinear integrodifferential systems in Banach spaces
K. Balachandran,R. Sakthivel
International Journal of Stochastic Analysis , 2000, DOI: 10.1155/s1048953300000174
Abstract: Sufficient conditions for controllability of semilinear integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem.
Nonlocal Cauchy problem for time varying delay integrodifferential equations of Sobolev type in Banach spaces
K. Balachandran,R. Ravikumar
Tamkang Journal of Mathematics , 2006, DOI: 10.5556/j.tkjm.37.2006.193-205
Abstract: In this paper we prove the existence of mild and strong solutions of nonlinear time varying delay integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces. The results are obtained by using the theory of compact semigroups and Schaefer's fixed point theorem.
Existence of solution for a mixed neutral system
K. Balachandran,A. Anguraj
International Journal of Stochastic Analysis , 1992, DOI: 10.1155/s1048953392000182
Abstract: We prove the existence of unique solution of the mixed neutral system x′(t)=f(t,x)+∑j=1mAj(t,x)x′(t+pj)+g(t,x,x′(t+h))x(0)=x0 and also prove the continuous dependence of the solution.
Existence of solutions of nonlinear integrodifferential equation with nonlocal condition
K. Balachandran,M. Chandrasekaran
International Journal of Stochastic Analysis , 1997, DOI: 10.1155/s104895339700035x
Abstract: In this paper we prove the existence and uniqueness of local and global solutions of a nonlocal Cauchy problem for a class of integrodifferential equation. The method of semigroups and the contraction mapping principle are used to establish the results.
An existence theorem for a Volterra integral equation with deviating arguments
K. Balachandran,S. Ilamaran
International Journal of Stochastic Analysis , 1990, DOI: 10.1155/s1048953390000144
Abstract: An existence theorem is proved for a nonlinear Volterra integral equation with deviating arguments.
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