Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential

Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential

Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represent further improvements on those given even for differential and difference equation...

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Veröffentlicht in:Science China. Mathematics 2013-03, Vol.56 (3), p.561-576
Hauptverfasser: Anderson, Douglas R., Saker, Samir H.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Astronomy
China
Criteria
Difference equations
Differential equations
Dynamics
Intervals
Mathematical analysis
Mathematics
Mathematics and Statistics
Oscillations
Riccati
Series (mathematics)
动态方程
区间振动准则
差分方程
振荡
电位
线性
黎卡提
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Beschreibung
Zusammenfassung:Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represent further improvements on those given even for differential and difference equations. Some examples are considered to illustrate the main results.
ISSN:1674-7283
1006-9283
1869-1862
DOI:10.1007/s11425-012-4487-7