二阶广义Ernden-Fowler型微分方程的振荡性
来源:用户上传
作者:李继猛
摘要:研究了一类二阶广义Emden-Fowler型非线性变时滞中立型泛函微分方程的振荡性.利用广义Riccati变换技术及一些分析技巧,在条件∫+∞a-1/β(t)dt<+∞下建立了该类方程振荡的两个新的判别准则.所举例子说明,这些准则不仅推广和改进了一些已有的结果,而且具有较好的实用性和可操作性.
关键词:振荡性; Emden-Fowler型微分方程; Riccati变换
中图分类号:0175.7
文献标志码:A
DOI: 10.3969/j.issn.1000-5641.2019.04.002
[参考文献]
[1]AGARWAL R P,BOHNER M, LI w T. Nonoscillation and Oscillation: Theory for Functional Differential
Equations[M]. New York: Marcel Dekker, 2004
[2] 黄记洲,符策红.广义Emden-Fowler方程的振动性[J]应用数学学报,2015, 38(6): 1126-1135.
[3] 杨甲山.二阶Emden-Fowler型非线性变时滞微分方程的振荡准则[J]浙江大学学报(理学版),2017, 44(2): 144-149.
[4] 杨甲山,方彬二阶广义Emden-Fowler型微分方程的振荡性[J]华中师范大学学报(自然科学版),2016, 50(6): 799-804.
[5] 曾云辉,罗李平,俞元洪.中立型Emden-Fowler时滞微分方程的振动性[J].数学物理学报(A辑),2015, 35(4): 803-814
[6]LI T X, ROGOVCHENKO Y V. Oscillatory behavior of second-order nonlinear neutral differential equations[J].Abstract and Applied Analysis, 2014: 1-8. doi: 10.1155/2014/143614.
[7]AGARWAL R P,BOHNER M, LI T X, et al. Oscillation of second-order Emden-Fowler neutral delay differentialequations[J]. Annali di Matematica Pura ed Applicata, 2014, 193(6): 1861-1875
[8]YANG J s,WANG J J,QIN x W, et al. Oscillation of nonlinear second-order neutral delay differential equa-tions[J]. Journal of Nonlinear Sciences and Applications, 2017, 10(5): 2727-2734.
[9]AGARWAL R P,BOHNER M, LI T X, et al. Oscillation of second-order differential equations with a sublinearneutral term[J]. Carpathian Journal of Mathematics, 2014, 30(1): 1-6.
[10] 羅红英,屈英,俞元洪.具有正负系数的二阶中立型时滞Emden-Fowler方程的振动准则[J].应用数学学报,2017, 40(5):667-675.
转载注明来源:https://www.xzbu.com/1/view-15025181.htm