Kostic, M. (2017). Almost periodicity of abstract Volterra integro-differential equations. Advances in Operator Theory, 2(3), 353-382. doi: 10.22034/aot.1701-1096
Marko Kostic. "Almost periodicity of abstract Volterra integro-differential equations". Advances in Operator Theory, 2, 3, 2017, 353-382. doi: 10.22034/aot.1701-1096
Kostic, M. (2017). 'Almost periodicity of abstract Volterra integro-differential equations', Advances in Operator Theory, 2(3), pp. 353-382. doi: 10.22034/aot.1701-1096
Kostic, M. Almost periodicity of abstract Volterra integro-differential equations. Advances in Operator Theory, 2017; 2(3): 353-382. doi: 10.22034/aot.1701-1096
Almost periodicity of abstract Volterra integro-differential equations
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 integro-differential equations which do have almost periodic solutions.