APPROXIMATE CONTROLLABILITY FOR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS

Choi, J.R.; Choi, J.R.; Kwun, Y.C.; Kwun, Y.C.; Sung, Y.K.; Sung, Y.K.

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P-ISSN3059-0604
E-ISSN3059-1309
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ISSN : 3059-0604

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Vol.2 No.2

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APPROXIMATE CONTROLLABILITY FOR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

1995, v.2 no.2, pp.173-181

Choi, J.R. (Department of Mathematics Dong-A University)
Kwun, Y.C. (Department of Mathematics Dong-A University)
Sung, Y.K. (Department of Mathematics Dong-A University)

Choi, J.R., Kwun, Y.C., & Sung, Y.K.. (1995). APPROXIMATE CONTROLLABILITY FOR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS, 2(2), 173-181.

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Abstract

Our objective is to investigate approximate controllability of a class of partial integrodifferential systems. This work continuous the investigations of [8]. As a model for this class one may take the equation $\frac{\partialy(t,\;\xi)}{\partialt}\;=\;\frac{\partial}{\partial\xi}(a(t,\;\xi\frac{\partialy(t,\;\xi)}{\partial\xi})\;+\;F(t,\;y(t\;-\;r,\;\xi),\;{{\int_0}^t}\;k(t,\;s,\;y(s\;-\;r,\;\xi))ds)\;+\;b(\xi)u(t),\;0\;\leq\;\xi\;\leq\;1,\;\leq\;t\;\leq\;T$ with initial-boundary conditions y(t,\;0)\;=\;y(t,\;1)\;=\;0,\;0\;\leq\;t\;\leq\;T,\;y(t,\;\xi)\;=\;\phi(t,\;\xi),\;0\;\leq\;1,\;-r\;\leq\;t\;\leq\;0$.(omitted)

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논문 상세

Vol.2 No.2

APPROXIMATE CONTROLLABILITY FOR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS

Abstract

한국수학교육학회지시리즈B:순수및응용수학