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Existence results for nonlinear functional evolution equations with delay conditions

✍ Scribed by Jong Soo Jung

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
246 KB
Volume
60
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 operator {U(t, s)} generated by {A(t)} is equicontinuous.

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