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EXISTENCE OF SOLUTIONS OF QUASILINEAR INTEGRODIFFERENTIAL EVOLUTION EQUATIONS IN BANACH SPACES
Balachandran, Krishnan,Park, Dong-Gun Korean Mathematical Society 2009 대한수학회보 Vol.46 No.4
We prove the local existence of classical solutions of quasi-linear integrodifferential equations in Banach spaces. The results are obtained by using fractional powers of operators and the Schauder fixed-point theorem. An example is provided to illustrate the theory.
Existence of solutions of quasilinear integrodifferential evolution equations in Banach spaces
Krishnan Balachandran,Dong Gun Park 대한수학회 2009 대한수학회보 Vol.46 No.4
We prove the local existence of classical solutions of quasilinear integrodifferential equations in Banach spaces. The results are obtained by using fractional powers of operators and the Schauder fixed-point theorem. An example is provided to illustrate the theory. We prove the local existence of classical solutions of quasilinear integrodifferential equations in Banach spaces. The results are obtained by using fractional powers of operators and the Schauder fixed-point theorem. An example is provided to illustrate the theory.
ON A CLASS OF $\gamma$-PREOPEN SETS IN A TOPOLOGICAL SPACE
Krishnan, G. Sal Sundara,Balachandran, K. The Youngnam Mathematical Society Korea 2006 East Asian mathematical journal Vol.22 No.2
In this paper we introduce the concept of $\gamma$-preopen sets in a topological space together with its corresponding $\gamma$-preclosure and $\gamma$-preinterior operators and a new class of topology $\tau_{{\gamma}p}$ which is generated by the class of $\gamma$-preopen sets. Also we introduce $\gamma$-pre $T_i$ spaces(i=0, $\frac{1}{2}$, 1, 2) and study some of its properties and we proved that if $\gamma$ is a regular operation, then$(X,\;{\tau}_{{\gamma}p})$ is a $\gamma$-pre $T\frac{1}{2}$ space. Finally we introduce $(\gamma,\;\beta)$-precontinuous mappings and study some of its properties.
REGULARITY OF SOLUTIONS OF ABSTRACT QUASILINEAR DELAY INTEGRODIFFERENTIAL EQUATIONS
박동근,Krishnan Balachandran,Francis Paul Samuel 대한수학회 2011 대한수학회지 Vol.48 No.3
We prove the existence and uniqueness of classical solutions for a quasilinear delay integrodifferential equation in Banach spaces. The result is established by using the semigroup theory and the Banach fixed point theorem.
Ganesan Arthi,Krishnan Balachandran 대한수학회 2011 대한수학회보 Vol.48 No.6
The purpose of this paper is to investigate the controllability of certain types of second order nonlinear impulsive systems with state-dependent delay. Sufficient conditions are formulated and the results are established by using a fixed point approach and the cosine function theory. Finally examples are presented to illustrate the theory. The purpose of this paper is to investigate the controllability of certain types of second order nonlinear impulsive systems with state-dependent delay. Sufficient conditions are formulated and the results are established by using a fixed point approach and the cosine function theory. Finally examples are presented to illustrate the theory.
CONTROLLABILITY OF STOCHASTIC VOLTERRA INTEGRODIFFERENTIAL SYSTEMS
Rakkiannan Subramaniam,Krishnan Balachandran 한국전산응용수학회 2002 Journal of applied mathematics & informatics Vol.9 No.2
In this paper, sufficient conditions for the controllability of stochastic integrodifferential systems in Banach spaces are established. The results are obtained by using a fixed point theorem. An example is provided to illustrate the theory. In this paper, sufficient conditions for the controllability of stochastic integrodifferential systems in Banach spaces are established. The results are obtained by using a fixed point theorem. An example is provided to illustrate the theory.
Arthi, Ganesan,Balachandran, Krishnan Korean Mathematical Society 2011 대한수학회보 Vol.48 No.6
The purpose of this paper is to investigate the controllability of certain types of second order nonlinear impulsive systems with statedependent delay. Sufficient conditions are formulated and the results are established by using a fixed point approach and the cosine function theory Finally examples are presented to illustrate the theory.
Gnanambal Ilango,Krishnan Balachandran,Rayappan Marudhachalam 영남수학회 2011 East Asian mathematical journal Vol.27 No.5
In this paper gpr-open sets are used to define some weak separation axioms and we study some of their basic properties. The implications of these axioms among themselves are also verified.
Ilango, Gnanambal,Balachandran, Krishnan,Marudhachalam, Rayappan The Youngnam Mathematical Society Korea 2011 East Asian mathematical journal Vol.27 No.5
In this paper gpr-open sets are used to define some weak separation axioms and we study some of their basic properties. The implications of these axioms among themselves are also verified.