Existence results for some higher-order evolution equations with time-dependent unbounded operator coefficients

Year, pages: 2015, 121 - 140

In this paper we establish the existence of $C⁽ⁿ⁾$-pseudo almost automorphic mild solutions to some $n$-order evolution equations involving not only time-dependent operator coefficients but also pseudo almost automorphic forcing terms. To illustrate our abstract results, the existence of $C⁽²⁾$-pseudo almost automorphic mild solutions to some damped second-order nonautonomous differential equations, which among other things model the nonautonomous damped beam equation, will be discussed.

Diagana, T. 2015. Existence results for some higher-order evolution equations with time-dependent unbounded operator coefficients. In Mathematica Slovaca, vol. 65, no.1, pp. 121-140. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0011

Diagana, T. (2015). Existence results for some higher-order evolution equations with time-dependent unbounded operator coefficients. Mathematica Slovaca, 65(1), 121-140. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0011