Existence of solutions for delay evolution equations with nonlocal conditions
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 com...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-05-01
|
| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2017-0055 |
| id |
doaj-583b917477614865a841740772cd1bbf |
|---|---|
| record_format |
Article |
| spelling |
doaj-583b917477614865a841740772cd1bbf2021-09-06T19:20:09ZengDe GruyterOpen Mathematics2391-54552017-05-0115161662710.1515/math-2017-0055math-2017-0055Existence of solutions for delay evolution equations with nonlocal conditionsZhang Xuping0Li Yongxiang1Department of Mathematics, Northwest Normal University, Lanzhou, 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou, 730070, ChinaIn 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.https://doi.org/10.1515/math-2017-0055evolution equationnonlocal conditionsdelaymild solutionkuratowski measure of noncompactnessequicontinuous semigroup34g2034k3035d35 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhang Xuping Li Yongxiang |
| spellingShingle |
Zhang Xuping Li Yongxiang Existence of solutions for delay evolution equations with nonlocal conditions Open Mathematics evolution equation nonlocal conditions delay mild solution kuratowski measure of noncompactness equicontinuous semigroup 34g20 34k30 35d35 |
| author_facet |
Zhang Xuping Li Yongxiang |
| author_sort |
Zhang Xuping |
| title |
Existence of solutions for delay evolution equations with nonlocal conditions |
| title_short |
Existence of solutions for delay evolution equations with nonlocal conditions |
| title_full |
Existence of solutions for delay evolution equations with nonlocal conditions |
| title_fullStr |
Existence of solutions for delay evolution equations with nonlocal conditions |
| title_full_unstemmed |
Existence of solutions for delay evolution equations with nonlocal conditions |
| title_sort |
existence of solutions for delay evolution equations with nonlocal conditions |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2017-05-01 |
| description |
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. |
| topic |
evolution equation nonlocal conditions delay mild solution kuratowski measure of noncompactness equicontinuous semigroup 34g20 34k30 35d35 |
| url |
https://doi.org/10.1515/math-2017-0055 |
| work_keys_str_mv |
AT zhangxuping existenceofsolutionsfordelayevolutionequationswithnonlocalconditions AT liyongxiang existenceofsolutionsfordelayevolutionequationswithnonlocalconditions |
| _version_ |
1717777209911934976 |