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Existence of Solutions of Fuzzy Delay Differential Equations with Nonlocal Condition
BALACHANDRAN, K.,PRAKASH, P. 한국산업정보응용수학회 2002 한국산업정보응용수학회 Vol.6 No.1
In this paper we prove the existence of solutions of fuzzy delay differential equations with nonlocal condition. The results are obtained by using the fixed point principles.
NONLOCAL CAUCHY PROBLEM FOR SOBOLEV TYPE FUNCTIONAL INTEGRODIFFERENTIAL EQUATION
Balachandran, K.,Park, Jong-Yeoul Korean Mathematical Society 2002 대한수학회보 Vol.39 No.4
In this paper we prove the existence and uniqueness of a mild solution of a functional differential equation of Sobolev type with nonlocal condition using the semigroup theory and the Banach fixed point principle.
Boundary controllability of Semilinear Systems in Banach spaces
BALACHANDRAN, K.,ANANDHI, E.R. 한국산업정보응용수학회 2001 한국산업정보응용수학회 Vol.5 No.2
Sufficient conditions for boundary controllability of semilinear systems in Banach spaces are established. The results are obtained by using the analytic semigroup theory and the Banach contraction principle. An example is provided to illustrate the theory.
Boundary Controllability of Delay Integrodifferential Systems in Banach Spaces
Balachandran, K.,Anandhi, E.R. 한국산업정보응용수학회 2000 한국산업정보응용수학회 Vol.4 No.2
Sufficient conditions for boundary controllability of time varying delay integrodifferential systems in Banach spaces are established. The results are obtained by using the strongly continuous semigroup theory and the Banach contraction principle.
Balachandran K.,Byszewski L.,Kim J. K. 경남대학교 수학교육과 2019 Nonlinear Functional Analysis and Applications Vol.24 No.3
The aim of this paper is to prove the existence and uniqueness of mild and classical solutions of a second order evolution equation with functional dependence on the solutions and on derivatives of the solutions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied. Further we discuss the existence of solutions of nonlinear fractional differential equations in abstract spaces.
CONTROLLABILITY OF GENERALIZED FRACTIONAL DYNAMICAL SYSTEMS
K. BALACHANDRAN 경남대학교 수학교육과 2023 Nonlinear Functional Analysis and Applications Vol.28 No.4
This paper deals with the controllability of linear and nonlinear generalized fractional dynamical systems in finite dimensional spaces. The results are obtained by using fractional calculus, Mittag-Leffler function and Schauder's fixed point theorem. Observability of linear system is also discussed. Examples are given to illustrate the theory.
CONTROLLABILITY OF SECOND ORDER SEMILINEAR VOLTERRA INTEGRODIFFERENTIAL SYSTEMS IN BANACH SPACES
Balachandran, K.,Park, J.Y.,Anthoni, S.-Marshal Korean Mathematical Society 1999 대한수학회보 Vol.36 No.1
Sufficient conditions for controllability of semilinear second order Volterra integrodifferential systems in Banach spaces are established using the theory of strongly continuous cosine families. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.