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On oscillatory solutions of quasilinear differential equations

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Title: On oscillatory solutions of quasilinear differential equations
Authors: Bartušek, M.1 bartusek@math.muni.cz, Cecchi, M.2 cecchi@det.unifi.it, Došlá, Z.1 dosla@math.muni.cz, Marini, M.2 marini@ing.unifi.it
Source: Journal of Mathematical Analysis & Applications. Aug2006, Vol. 320 Issue 1, p108-120. 13p.
Subjects: International relations, Quasilinearization, Numerical analysis, Differential equations
Abstract: Abstract: Necessary and sufficient conditions for the existence of at least one oscillatory solution of a second-order quasilinear differential equation are presented. These results yield also new conditions guaranteeing the coexistence of oscillatory and nonoscillatory solutions. Our approach is based on the asymptotic representation of solutions by means of a periodic function and of a suitable zero-counting function. [Copyright &y& Elsevier]
Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 20779536
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: On oscillatory solutions of quasilinear differential equations
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  Data: <searchLink fieldCode="AR" term="%22Bartušek%2C+M%2E%22">Bartušek, M.</searchLink><relatesTo>1</relatesTo><i> bartusek@math.muni.cz</i><br /><searchLink fieldCode="AR" term="%22Cecchi%2C+M%2E%22">Cecchi, M.</searchLink><relatesTo>2</relatesTo><i> cecchi@det.unifi.it</i><br /><searchLink fieldCode="AR" term="%22Došlá%2C+Z%2E%22">Došlá, Z.</searchLink><relatesTo>1</relatesTo><i> dosla@math.muni.cz</i><br /><searchLink fieldCode="AR" term="%22Marini%2C+M%2E%22">Marini, M.</searchLink><relatesTo>2</relatesTo><i> marini@ing.unifi.it</i>
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  Data: <searchLink fieldCode="DE" term="%22International+relations%22">International relations</searchLink><br /><searchLink fieldCode="DE" term="%22Quasilinearization%22">Quasilinearization</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%22">Differential equations</searchLink>
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  Data: Abstract: Necessary and sufficient conditions for the existence of at least one oscillatory solution of a second-order quasilinear differential equation are presented. These results yield also new conditions guaranteeing the coexistence of oscillatory and nonoscillatory solutions. Our approach is based on the asymptotic representation of solutions by means of a periodic function and of a suitable zero-counting function. [Copyright &y& Elsevier]
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  Data: <i>Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jmaa.2005.06.057
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        Text: English
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        PageCount: 13
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      – SubjectFull: International relations
        Type: general
      – SubjectFull: Quasilinearization
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      – SubjectFull: Numerical analysis
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      – TitleFull: On oscillatory solutions of quasilinear differential equations
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              Text: Aug2006
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