Existence of solutions for delay evolution equations with nonlocal conditions

Xuping Zhang, and Yongxiang Li. "Existence of solutions for delay evolution equations with nonlocal conditions." Open Mathematics 15.1 (2017): 616-627. <http://eudml.org/doc/288461>.

@article{XupingZhang2017,
abstract = {In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results of mild solutions without the assumption of compactness on the associated semigroup. Our results improve and generalize some related conclusions on this issue. Moreover, we present an example to illustrate the application of the main results.},
author = {Xuping Zhang, Yongxiang Li},
journal = {Open Mathematics},
keywords = {Evolution equation; Nonlocal conditions; Delay; Mild solution; Kuratowski measure of noncompactness; Equicontinuous semigroup},
language = {eng},
number = {1},
pages = {616-627},
title = {Existence of solutions for delay evolution equations with nonlocal conditions},
url = {http://eudml.org/doc/288461},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Xuping Zhang
AU - Yongxiang Li
TI - Existence of solutions for delay evolution equations with nonlocal conditions
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 616
EP - 627
AB - In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results of mild solutions without the assumption of compactness on the associated semigroup. Our results improve and generalize some related conclusions on this issue. Moreover, we present an example to illustrate the application of the main results.
LA - eng
KW - Evolution equation; Nonlocal conditions; Delay; Mild solution; Kuratowski measure of noncompactness; Equicontinuous semigroup
UR - http://eudml.org/doc/288461
ER -