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APPROXIMATE CONTROLLABILITY FOR NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
Jeong, Jin-Mun,Rho, Hyun-Hee The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.1
In this paper, we study the control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under the Lipschitz continuity condition of the nonlinear term, we can obtain the sufficient conditions for the approximate controllability of nonlinear functional equations with nonlinear monotone hemicontinuous and coercive operator. The existence, uniqueness and a variation of solutions of the system are also given.
APPROXIMATE CONTROLLABILITY FOR NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
정진문,노현희 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.1
In this paper, we study the control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under the Lipschitz continuity condition of the nonlinear term, we can obtain the sufficient conditions for the approximate controllability of nonlinear functional equations with nonlinear monotone hemicontinuous and coercive operator. The existence, uniqueness and a variation of solutions of the system are also given.
Controllability for nonlinear variational evolution inequalities
Jong Yeoul Park,Jin-Mun Jeong,노현희 대한수학회 2012 대한수학회지 Vol.49 No.5
In this paper we investigate the approximate controllability for the following nonlinear functional differential control problem:x ′(t) + Ax(t) +а ϕ(x(t)) ∋ f(t, x(t)) + h(t)which is governed by the variational inequality problem with nonlinear terms.
CONTROLLABILITY FOR NONLINEAR VARIATIONAL EVOLUTION INEQUALITIES
Park, Jong-Yeoul,Jeong, Jin-Mun,Rho, Hyun-Hee Korean Mathematical Society 2012 대한수학회지 Vol.49 No.5
In this paper we investigate the approximate controllability for the following nonlinear functional differential control problem: $$x^{\prime}(t)+Ax(t)+{\partial}{\phi}(x(t)){\ni}f(t,x(t))+h(t)$$ which is governed by the variational inequality problem with nonlinear terms.
NONLINEAR VARIATIONAL EVOLUTION INEQUALITIES WITH NONLOCAL CONDITIONS
Jeong, Jin-Mun,Kim, Dong-Hwa,Park, Jong-Yeoul Korean Mathematical Society 2004 대한수학회지 Vol.41 No.4
The existence of solutions for the nonlinear functional differential equation with nonlocal conditions governed by the variational inequality is studied. The regularity and a variation of solutions of the equation are also given.