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Existence for an evolution equation with a nonmonotone continuous nonlinearity

✍ Scribed by Zhou Meike


Book ID
107967182
Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
836 KB
Volume
5
Category
Article
ISSN
0362-546X

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Existence results for nonlinear function
✍ Jong Soo Jung πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 246 KB

Let X be a real Banach space, A(t) : where D=D(A(t)) (independent of t). The local existence of integral solutions of nonlinear functional evolution equation with delay condition du(t) dt + A(t)u(t) G(t, u t , L t u), 0 t T , u(0) = 0 (t), -r t 0 is established in the case when the evolution operat