Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 4
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- Pages.1003-1013
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- 1996
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
EXISTENCE OF SOLUTION OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS IN GENERAL BANACH SPACES
- Jeong, Jin-Gyo (Department of Mathematics, Pusan National University) ;
- Shin, Ki-Yeon (Department of Mathematics, Pusan National University)
- Published : 1996.10.01
Abstract
The existence of a bounded generalized solution on the real line for a nonlinear functional evolution problem of the type $$ (FDE) x'(t) + A(t,x_t)x(t) \ni 0, t \in R $$ in a general Banach spaces is considered. It is shown that (FDE) has a bounded generalized solution on the whole real line with well-known Crandall and Pazy's result and recent results of the functional differential equations involving the operator A(t).
Keywords