Oscillation Theorems for Second-Order Nonlinear Differential Equations

被引：0

作者：

Misir, Adil ^{[1
]}

Ogrekci, Suleyman ^{[2
]}

机构：

[1] Gazi Univ, Dept Math, Fac Sci, Ankara, Turkey

[2] Amasya Univ, Sci & Arts Fac, Dept Math, Amasya, Turkey

来源：

GAZI UNIVERSITY JOURNAL OF SCIENCE | 2016年 / 29卷 / 04期

关键词：

Differential Equations; Oscillation; Damping;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we are concerned with the oscillations in forced second order nonlinear differential equations with nonlinear damping terms. By using clasical variational principle and averaging technique, new oscillation criteria are established, which improve and extend some recent results. Examples are also given to illustrate the results.

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页码：929 / 935

页数：7

相关论文

共 15 条

[1] New oscillation criteria for a class of second-order nonlinear forced differential equations [J].

Fangcui Jiang ;

Fanwei Meng .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (02) :1476-1485

[2]

Hardy G., 1988, INEQUALITIES

[3] Oscillation of second-order nonlinear ODE with damping [J].

Huang, Yan ;

Meng, Fanwei .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 199 (02) :644-652

[4]

Keener Marvin S., 1971, APPL ANAL, V1, P57

[5] Interval oscillation criteria for a forced second-order nonlinear differential equations with damping [J].

Meng, Fanwei ;

Huang, Yan .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) :1857-1861

[6] OSCILLATION THEOREMS FOR 2ND-ORDER NONHOMOGENEOUS LINEAR-DIFFERENTIAL EQUATIONS [J].

RANKIN, SM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 53 (03) :550-553

[7] Oscillation theorems for differential equations with a nonlinear damping term [J].

Rogovchenko, SP ;

Rogovchenko, YV .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 279 (01) :121-134

[8] Interval oscillation criteria for a forced second-order differential equation with nonlinear damping [J].

Shi, WY .

MATHEMATICAL AND COMPUTER MODELLING, 2006, 43 (1-2) :170-177

[9] DIFFERENTIAL EQUATION Y'' + P(X)Y = F(X) [J].

SKIDMORE, A ;

LEIGHTON, W .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 43 (01) :46-55

[10] OSCILLATORY BEHAVIOR OF SOLUTIONS OF Y''+P(X)Y=F(X) [J].

SKIDMORE, A ;

BOWERS, JJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 49 (02) :317-323