Conditional Oscillation of Half-Linear Differential Equations with Coefficients Having Mean Values
Joint Authors
Hasil, Petr
Mařík, Robert
Veselý, Michal
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-07
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We prove that the existence of the mean values of coefficients is sufficient for second-order half-linear Euler-type differential equations to be conditionally oscillatory.
We explicitly find an oscillation constant even for the considered equations whose coefficients can change sign.
Our results cover known results concerning periodic and almost periodic positive coefficients and extend them to larger classes of equations.
We give examples and corollaries which illustrate cases that our results solve.
We also mention an application of the presented results in the theory of partial differential equations.
American Psychological Association (APA)
Hasil, Petr& Mařík, Robert& Veselý, Michal. 2014. Conditional Oscillation of Half-Linear Differential Equations with Coefficients Having Mean Values. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013566
Modern Language Association (MLA)
Hasil, Petr…[et al.]. Conditional Oscillation of Half-Linear Differential Equations with Coefficients Having Mean Values. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1013566
American Medical Association (AMA)
Hasil, Petr& Mařík, Robert& Veselý, Michal. Conditional Oscillation of Half-Linear Differential Equations with Coefficients Having Mean Values. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013566
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013566