dc.contributor.author |
Octavian, G. Mustafa
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dc.date.accessioned |
2016-04-28T12:10:25Z |
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dc.date.available |
2016-04-28T12:10:25Z |
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dc.date.issued |
2008-12 |
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dc.identifier.citation |
Octavian, G.M. (2008). On oscillatory solutions of certain forced Emden–Fowler like equations. Journal of Mathematical Analysis and Applications, 348(1), 211-219. http://dx.doi.org/10.1016/j.jmaa.2008.07.025 |
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dc.identifier.issn |
0022-247X |
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dc.identifier.uri |
http://hdl.handle.net/20.500.12416/938 |
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dc.description.abstract |
We give a constructive proof of existence to oscillatory solutions for the differential equations x(t) + a(t)|x(t)| λ sign[x(t)] = e(t), where t t0 1 and λ > 1, that decay to 0 when t → +∞ as O(t−μ) for μ > 0 as close as desired to the “critical quantity” μ = 2 λ−1 . For this class of equations, we have limt→+∞ E(t) = 0, where E(t) < 0 and E(t) = e(t) throughout [t0,+∞). We also establish that for any μ > μ and any negative-valued E(t) = o(t−μ) as t → +∞ the differential equation has a negative-valued solution decaying to 0 at +∞ as o(t−μ). In this way, we are not in the reach of any of the developments from the recent paper [C.H. Ou, J.S.W. Wong, Forced oscillation of nth-order functional differential equations, J. Math. Anal. Appl. 262 (2001) 722–732] |
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dc.language.iso |
eng |
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dc.publisher |
Elsevier |
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dc.relation.isversionof |
10.1016/j.jmaa.2008.07.025 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Oscillatory Solution |
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dc.subject |
Oscillation Induced By Perturbation |
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dc.subject |
Second Order Differential Equation |
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dc.subject |
Nonoscillatory Antiderivative |
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dc.title |
On oscillatory solutions of certain forced Emden–Fowler like equations |
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dc.type |
article |
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dc.relation.journal |
Journal of Mathematical Analysis and Applications |
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dc.identifier.volume |
348 |
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dc.identifier.issue |
1 |
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dc.identifier.startpage |
211 |
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dc.identifier.endpage |
219 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü |
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