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Oscillation criteria for forced second-order quasi-linear differential equations

โœ Scribed by Zhaowen Zheng; Fanwei Meng

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
205 KB
Volume
45
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

By using the Riccati technique and the variational principle, new oscillation criteria are given for second-order quasi-linear differential equations with an oscillatory forcing term, which improve and generalize some new results from the literature. An (ฮฑ + 1)-degree functional is involved in the oscillation.

๐Ÿ“œ SIMILAR VOLUMES

Oscillation criteria of second-order qua
Oscillation criteria of second-order quasi-linear neutral delay differential equations
โœ Xiaoli Wang; Fanwei Meng ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 189 KB

The oscillatory and non-oscillatory behavior of solutions of the second-order quasi-linear neutral delay differential equation Our results generalize and improve some known results of neutral delay differential equations.

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Oscillation criteria for forced second order differential equations with mixed nonlinearities
โœ Zhaowen Zheng; Xiao Wang; Hongmei Han ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 438 KB

By using Riccati transformation, new oscillation criteria are given for forced second order differential equations with mixed nonlinearities, which improve and generalize results in the literature. An (ฮฑ + 1)-degree functional is involved for oscillation, which is widely used in variational theories