Asymptotically Almost Periodic Solutions for Abstract Partial Neutral Integro-Differential Equation

Existence of S-asymptotically ω-periodic solutions to abstract integro-differential equations

“…We note that conditions (P1)-(P4) have been previously considered in the literature. We refer the reader to [3][4][5][6]8,16] for details about this aspect related to the existence of the resolvent operator.…”

Existence results for some partial integrodifferential equations with nonlocal conditions

“…In the theory developed in [22,33], the internal energy and the heat flux are described as functionals of u and u x . The following system [7,28,23,12] has been frequently used to describe this phenomena, (1.2) ∂ ∂t u(t, x) + Here, Ω ⊂ R n is open, bounded and has smooth boundary, (t; x) ∈ [0; ∞) × Ω, u(t; x) represents the temperature in x at the time t, c is a physical constant and k i : R → R, i = 1, 2, are the internal energy and the heat flux relaxation respectively. By assuming that the solution u(.)…”