APPROXIMATE CONTROLLABILITY FOR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS

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

오늘 하루 그만보기

P-ISSN3059-0604
E-ISSN3059-1309
KCI

Home

OA Policy

ISSN : 3059-0604

Article Contents

e-Submission

Vol.2 No.2

PDF Citation

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / 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.
Kwun, Y.C.
Sung, Y.K.

Choi,, J. , Kwun,, Y. , & Sung,, Y. (1995). , 2(2), 173-181.

copy

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)

keywords

바로가기메뉴

Article Contents

Vol.2 No.2

Abstract

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics