Sharp conditions for nonoscillation of functional equations
| dc.contributor.author | Shen, J. H. | en |
| dc.contributor.author | Stavroulakis, I. P. | en |
| dc.date.accessioned | 2015-11-24T17:27:58Z | |
| dc.date.available | 2015-11-24T17:27:58Z | |
| dc.identifier.issn | 0019-5588 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13481 | |
| dc.rights | Default Licence | - |
| dc.subject | nonoscillation | en |
| dc.subject | oscillation | en |
| dc.subject | functional equation | en |
| dc.subject | difference-equations | en |
| dc.subject | oscillation | en |
| dc.subject | arguments | en |
| dc.title | Sharp conditions for nonoscillation of functional equations | en |
| heal.abstract | Consider the second order linear functional equation' x (g (t) = P(t) x (t) + Q (t) x (g(2) (t)), where P, Q is an element of C([0, infinity),[0, infinity)), g is an element of C[0, infinity),R), g(t) is increasing, g(t) > t or (t) <. t and g (t) --> infinity as t --> infinity and the linear functional equation x (t) -p (t - tau) + q(t) x (t - sigma) = 0, where p, tau, sigma is an element of (0, infinity), q (t) is an element of C ([0, infinity), [0, infinity)). We establish the following "sharp" nonoscillation criteria for eq. and eq. Theorem 1 - If Q (t) P (g (t)) less than or equal to 1/4 for large t, then eq. (*) has a nonoscillatory solution. Theorem 2 If sigma > tau and for large t p(-sigma/tau) . q(t) less than or equal to (sigma/sigma-tau)(sigma/r) . (tau/sigma - tau)(-1) then eq. (**) has a nonoscillatory solution. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://000175573700010 | - |
| heal.journalName | Indian Journal of Pure & Applied Mathematics | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2002 | - |
| heal.publisher | Springer Verlag (Germany) | 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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