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Title: Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type (English)
Author: Kusano, Takaŝi
Author: Marušiak, Pavol
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 125
Issue: 2
Year: 2000
Pages: 199-213
Summary lang: English
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Category: math
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Summary: This paper establishes existence of nonoscillatory solutions with specific asymptotic behaviors of second order quasilinear functional differential equations of neutral type. Then sufficient, sufficient and necessary conditions are proved under which every solution of the equation is either oscillatory or tends to zero as $ t \to\infty$. (English)
Keyword: quasilinear differential equations of neutral type
Keyword: oscillatory
Keyword: nonoscillatory solutions
Keyword: Schauder-Tychonoff fixed-point theorem
MSC: 34K11
MSC: 34K25
MSC: 34K40
idZBL: Zbl 0973.34067
idMR: MR1768808
DOI: 10.21136/MB.2000.125952
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Date available: 2009-09-24T21:42:26Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/125952
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