L-P-solutions of singular integro-differential equations
| dc.contributor.author | Burton, T. A. | en |
| dc.contributor.author | Purnaras, I. K. | en |
| dc.date.accessioned | 2015-11-24T17:25:06Z | |
| dc.date.available | 2015-11-24T17:25:06Z | |
| dc.identifier.issn | 0022-247X | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12991 | |
| dc.rights | Default Licence | - |
| dc.subject | integro-differential equations | en |
| dc.subject | liapunov functionals | en |
| dc.subject | singular kernels | en |
| dc.subject | l-p solutions | en |
| dc.title | L-P-solutions of singular integro-differential equations | en |
| heal.abstract | We study a variety of scalar integro-differential equations with singular kernels including linear, nonlinear, and resolvent equations. The first result involves a type of existence theorem which uses a fixed point mapping defined by the integro-differential equation itself and produces a unique solution with a continuous derivative in a very simple way. We then construct a Liapunov functional yielding qualitative properties of solutions. The work answers questions raised by Volterra in 1928, by Levin in 1963, and by Grimmer and Seifert in 1975. Previous results had produced bounded solutions from bounded perturbations. Our results mainly concern integrable solutions from integrable perturbations. (C) 2011 Elsevier Inc. All rights reserved. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1016/j.jmaa.2011.08.041 | - |
| heal.identifier.secondary | <Go to ISI>://000295563500029 | - |
| heal.identifier.secondary | http://ac.els-cdn.com/S0022247X11007888/1-s2.0-S0022247X11007888-main.pdf?_tid=8cf47932-cf38-11e2-9104-00000aab0f02&acdnat=1370585436_9f63bb49ebcd62608659782cb4fe8521 | - |
| heal.journalName | Journal of Mathematical Analysis and Applications | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2012 | - |
| heal.publisher | Elsevier | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
Αρχεία
Φάκελος/Πακέτο αδειών
1 - 1 of 1
Φόρτωση...
- Ονομα:
- license.txt
- Μέγεθος:
- 1.74 KB
- Μορφότυπο:
- Item-specific license agreed upon to submission
- Περιγραφή: