| dc.contributor.author |
Jaiswal, Anjali |
|
| dc.contributor.author |
Tyagi, Jagmohan |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2023-05-31T15:18:18Z |
|
| dc.date.available |
2023-05-31T15:18:18Z |
|
| dc.date.issued |
2023-05 |
|
| dc.identifier.citation |
Jaiswal, Anjali and Tyagi, Jagmohan, "Abstract neutral differential equations with state-dependent delay and almost sectorial operators", Mathematical Methods in the Applied Sciences, DOI: 10.1002/mma.9388, May 2023. |
|
| dc.identifier.issn |
0170-4214 |
|
| dc.identifier.issn |
1099-1476 |
|
| dc.identifier.uri |
https://doi.org/10.1002/mma.9388 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/8871 |
|
| dc.description.abstract |
We establish the existence and uniqueness of mild solutions of a first-order neutral differential equation with state-dependent delay and almost sectorial operator by using the theory of almost sectorial operators and fixed point theorems and show that under certain conditions mild solution becomes the classical solution. Later, we also discuss the local well-posedness of the associated Cauchy problem. |
|
| dc.description.statementofresponsibility |
by Anjali Jaiswal and Jagmohan Tyagi |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Wiley |
|
| dc.subject |
Neutral differential equation |
|
| dc.subject |
Sectorial operators |
|
| dc.subject |
Cauchy problem |
|
| dc.subject |
Mild solutions |
|
| dc.title |
Abstract neutral differential equations with state-dependent delay and almost sectorial operators |
|
| dc.type |
Article |
|
| dc.relation.journal |
Mathematical Methods in the Applied Sciences |
|