Pseudo-almost periodicity of some nonautonomous evolution equations with delay. (English) Zbl 1122.34345
Summary: This paper is concerned with pseudo-almost periodicity of the solutions to the nonautonomous evolution equation with delay
\[ u^{\prime }(t)=A(t)u(t)+f(t,u(t - h)). \] Some sufficient conditions which ensure the existence and uniqueness of pseudo-almost periodic mild solutions to the evolution equation with delay are given. An example is shown to illustrate our results.
\[ u^{\prime }(t)=A(t)u(t)+f(t,u(t - h)). \] Some sufficient conditions which ensure the existence and uniqueness of pseudo-almost periodic mild solutions to the evolution equation with delay are given. An example is shown to illustrate our results.
MSC:
| 34K30 | Functional-differential equations in abstract spaces |
| 34K14 | Almost and pseudo-almost periodic solutions to functional-differential equations |
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