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Nonlinear Integrodifferential Equations with Time Varying Delay
Advances in the Theory of Nonlinear Analysis and its Applications
By practicing the manner of semigroup theory and Banach contraction theorem, the existence and uniqueness of mild and classical solutions of nonlinear integrodierential equations with time varying delay in Banach spaces is showed. Certainly, an example is revealed to justify the abstract idea. If Ω = 0 then T (t) is called uniformly bounded and if M = 1 it is said to be C 0 -semigroup of contraction. Now, if E is assumed as a Banach space with norm . . Also, C 0 -semigroup of operators on E isdoi:10.31197/atnaa.814109 fatcat:5vo7mbm2snfilafsjsobqfqvvu