Interval Criteria for Oscillation of Forced Second-order Half-linear Differential Equations
被引量：1
Interval Criteria for Oscillation of Forced Second-order Half-linear Differential Equations
摘要
By employing a generalized Riccati technique and an integral averaging tech-nique, new interval oscillation criteria are established for the forced second-order half-lineardifferential equation [r(t)|x′ (t)|α-1x′ (t)]′ + q(t)|x(t)|α-1x(t) = e(t).
参考文献9
-
1ELBERTA. A half-linear second order differential equations[J]. Qualitative Theory of Differential Equations,1979, 153-180. 被引量：1
-
2PHILOS Ch G. Oscillation theorems for linear differential equations of second order[J]. Arch Math(Basel),1989, 53: 482-492. 被引量：1
-
3KONG Qing-kai. Interval criteria for oscillation of second-order linear ordinary differential equations[J]. J Math Anal Appl, 1999, 229: 258-270. 被引量：1
-
4WANG Qi-ru. Oscillation and asymptotics for second-order half-linear differential equations[J]. Appl Math Comput, 2001, 122: 253-266. 被引量：1
-
5WANG Qi-ru, YANG Qi-gui. Interval criteria for oscillation of second-order half-linear differential equations[J]. J. Math. Anal. Appl. 2004, 291: 224-236. 被引量：1
-
6LI Wan-tong. Interval criteria for oscillation of second order half-linear ordinary differential equations[J].Acta Math. Sinica 2002, 45: 509-516. 被引量：1
-
7LI Wan-tong, AGARWAL R P. Interval oscillation criteria for second order nonlinear differential equations with forcing term[J]. Applicable Analysis 2000, 75: 341-347. 被引量：1
-
8YANG Qi-gui. Interval oscillation criteria for a forced second order nonlinear ordinary differential equations with oscillatory potential[J]. Appl Math Comput, 2003, 135: 49-64. 被引量：1
-
9HARDY G H, LITTLEWOOD J E, POLYA G. Inequalities[M]. Cambridge: Cambridge University Press,1988. 被引量：1
-
1高正晖,罗李平.含时滞与阻尼项的二阶半线性微分方程解的振动性[J].北京工商大学学报（自然科学版）,2010,28(5):75-77. 被引量：4
-
2高正晖.含连续时滞和阻尼项的二阶半线性微分方程解的振动性[J].数学的实践与认识,2010,40(13):223-227. 被引量：3
-
3王培光,唐楠,高春霞.一类具有连续偏差变元的二阶半线性微分方程的振动准则[J].河北大学学报（自然科学版）,2005,25(6):574-579. 被引量：3
-
4崔亚峰.含阻尼项的二阶半线性微分方程的振动性[J].济宁学院学报,2015,36(3):82-86.
-
5费玉田.关于二阶半线性微分方程新的振动结果[J].西南民族大学学报（自然科学版）,2010,36(6):890-896.
-
6苗树梅.具有两个小参数的常微分方程的奇摄动边值问题[J].吉林大学自然科学学报,1991(4):37-45. 被引量：11
-
7林文贤,郑伟珊.一类具阻尼项的二阶半线性泛函微分方程的振动性[J].井冈山大学学报（自然科学版）,2015,36(3):21-24. 被引量：3
-
8Yunhui Zeng(Dept.of Math.and Computational Science,Hengyang Normal University,Hengyang 421008,Hunan).OSCILLATION OF A SECOND-ORDER HALF-LINEAR NEUTRAL DAMPED DIFFERENTIAL EQUATION WITH TIME-DELAY[J].Annals of Differential Equations,2012,28(3):363-367. 被引量：1
-
9Ge-feng YANG,Zhi-ting XU.New Kamenev-type Oscillation Criteria for Half-linear Partial Differential Equations[J].Acta Mathematicae Applicatae Sinica,2012,28(3):535-548.
-
10CHEN Xing-rong PAN Li-jun.Oscillation Criteria for Second-order Half-linear Impulsive Differential Equations with Damping[J].Chinese Quarterly Journal of Mathematics,2009,24(4):614-620.
