Oscillation of impulsive neutral delay differential equations
| dc.contributor.author | Graef, J. R. | en |
| dc.contributor.author | Shen, J. H. | en |
| dc.contributor.author | Stavroulakis, I. P. | en |
| dc.date.accessioned | 2015-11-24T17:27:14Z | |
| dc.date.available | 2015-11-24T17:27:14Z | |
| dc.identifier.issn | 0022-247X | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13338 | |
| dc.rights | Default Licence | - |
| dc.subject | impulse | en |
| dc.subject | neutral differential equation | en |
| dc.subject | oscillation | en |
| dc.subject | nonoscillation | en |
| dc.subject | nonoscillatory solutions | en |
| dc.subject | argument | en |
| dc.title | Oscillation of impulsive neutral delay differential equations | en |
| heal.abstract | In this paper, effective sufficient conditions for the oscillation of all solutions of impulsive neutral delay differential equations of the form (*) [x(t) - P(t)x(t - tau)]' + Q(t)\x(t - sigma)\(lambda)sgn x(t - sigma) = 0, (**) x(t(k)(+)) = b(k)x(t(k)), k - 1,2,... are established. Our results reveal the fact that the oscillatory properties of all solutions of Eqs. (*) and (**) may be caused by the impulsive perturbations (**) though the corresponding neutral delay differential equation without impulses, i.e., Eq. (*), admits a nonoscillatory solution. It is also seen that the oscillatory behavior of all solutions of Eq. (*) can be inherited by Eqs. (*) and (**) under certain impulsive perturbations (**). Some examples are also given to illustrate the applicability of the results obtained. (C) 2002 Elsevier Science (USA). | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1006/jmaa.2001.7836 | - |
| heal.identifier.secondary | <Go to ISI>://000174952900020 | - |
| heal.identifier.secondary | http://ac.els-cdn.com/S0022247X01978369/1-s2.0-S0022247X01978369-main.pdf?_tid=9932afe0b5ba463d04fe40a5a53cf323&acdnat=1338451086_e5420817c676bd815602b12b76a2d221 | - |
| heal.journalName | Journal of Mathematical Analysis and Applications | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2002 | - |
| 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 |
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