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On second order damped elliptic oscillation

โœ Scribed by Zhiting Xu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
142 KB
Volume
89
Category
Article
ISSN
0021-7824

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โœฆ Synopsis

New oscillation theorems are established for the second order nonlinear damped elliptic differential equation:

The criteria obtained here involve integral averages of the coefficients of the above equation and improve some known oscillation results in literature by removing the differentiability of b i (x) for all i.

๐Ÿ“œ SIMILAR VOLUMES

Oscillation criteria for a second order
Oscillation criteria for a second order damped difference equation
โœ E. Thandapani; B.S. Lalli ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 258 KB

Sufficient conditions for the oscillation of all solutions of a damped difference equation of the form A2yn+pnAyn+qnf(yn+l)=O, n = 0,1,2,..., are obtained. No sign conditions on the sequences {pn} and {qn} are assumed. Examples are inserted in the text to illustrate our results.

Oscillation Results for a Second Order D
Oscillation Results for a Second Order Damped Differential Equation with Nonmonotonous Nonlinearity
โœ Mokhtar Kirane; Yuri V. Rogovchenko ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 138 KB

We present new oscillation criteria for a nonlinear second order differential equation with a damping term. An essential feature of our results is that we do not require the nonlinearity to be nondecreasing. Furthermore, as opposed to the ลฝ recent results by S.