Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monotone iterative technique for delayed evolution equation periodic
  problems in Banach spaces   In this paper, we deal with the existence of $\omega$-periodic mild solutions
for the abstract evolution equation with delay in an ordered Banach space $E$
$$u'(t)+Au(t)=F(t,u(t),u(t-\tau)),\ \ \ \ t\in\R,$$ where $A:D(A)\subset
E\rightarrow E$ is a closed linear operator and $-A$ generates a positive
$C_{0}$-semigroup $T(t)(t\geq0)$, $F:\R\times E\times E\rightarrow E$ is a
continuous mapping which is $\omega$-periodic in $t$, and $\tau\geq0$ is a
constant. Under some weaker assumptions, we construct monotone iterative method
for the delayed evolution equation periodic problems, and obtain the existence
of maximal and minimal periodic mild solutions.
  The results obtained generalize the recent conclusions on this topic.
Finally, we present two applications to illustrate the feasibility of our
abstract results.

22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph