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Applied Mathematics A Journal of Chinese Universities  2017, Vol. 32 Issue (2): 149-155    DOI:
    
Zero point comparison theorems of solutions for second order nonlinear differential equations
CHEN Li-chun, ZHUANG Rong-kun
Dept. of Math., Huizhou Univ., Huizhou 516007, China
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Abstract  In this paper, some differential inequalities are established for a class of second order nonlinear differential equations, and some zero point comparison results are derived by using these inequalities. The results generalize some classical Sturm Comparison Theorems.

Key wordsnonlinear differential equations       second order       differential inequality       zero point comparison theorem     
Received: 18 July 2016      Published: 01 June 2017
Cite this article:

CHEN Li-chun, ZHUANG Rong-kun. Zero point comparison theorems of solutions for second order nonlinear differential equations. Applied Mathematics A Journal of Chinese Universities, 2017, 32(2): 149-155.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2017/V32/I2/149


一类二阶非线性微分方程解的零点比较定理

通过建立几个微分不等式将经典的微分方程零点比较定理推广到二阶非线性微分方程, 得到若干新的结论.

关键词: 二阶非线性微分方程,  零点,  比较定理 
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