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https://open.uns.ac.rs/handle/123456789/3176
Title: | Almost periodicity of abstract Volterra integro-differential equations | Authors: | Kostić, Marko | Issue Date: | 1-Jun-2017 | Journal: | Advances in Operator Theory | Abstract: | © 2016 by the Tusi Mathematical Research Group. 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 (C 1 , C 2 )-existence and uniqueness families, where the operators C 1 and C 2 are not necessarily injective, and provide several illustrative examples of abstract Volterra integrodifferential equations which do have almost periodic solutions. | URI: | https://open.uns.ac.rs/handle/123456789/3176 | DOI: | 10.22034/aot.1701-1096 |
Appears in Collections: | FTN Publikacije/Publications |
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