Almost Periodicity of Abstract Volterra Integro-differential Equations
نویسندگان
چکیده
The main purpose of this paper is to investigate almost periodic properties of various classes of (a, k)-regularized C-resolvent families in Banach spaces. We contemplate the work of many other authors working in this field, giving also some original contributions and applications. In general case, (a, k)regularized C-resolvent families under our considerations are degenerate and their subgenerators are multivalued linear operators or pairs of closed linear operators. We also consider the class of (a, k)-regularized (C1, C2)-existence and uniqueness families, where the operators C1 and C2 are not necessarily injective, and provide several illustrative examples of abstract Volterra integrodifferential equations which do have almost periodic solutions.
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