首页|一类三阶非线性微分方程解的振动性

一类三阶非线性微分方程解的振动性

扫码查看
为进一步发展和完善非线性微分方程解的振动理论,研究一类三阶非线性时滞微分方程解的振动性和渐近性.利用实分析、Riccati变换和不等式技巧获得该方程解振动或收敛于零的新的充分条件,估算该方程有正解时其值的大小,推广并改进相关文献中一些已知结果,并给出说明定理应用的例子.
Oscillation Criteria of Solution for a Class of Third Order Nonlinear Differential Equations
In order to develop and improve the theory about the oscillation criteria of solution of nonlinear dif-ferential equations,this paper is concerned with oscillation criteria of solution and asymptotic behavior of so-lutions for a class of third order nonlinear delay differential equations.By using real analysis,Riccati transfor-mation and inequality techniques,some new sufficient conditions for all solutions to be oscillatory or asymp-totically convergent to zero have been obtained,the size of the value when the equation has a positive solu-tion is estimated.The result improves and extends some known results.An example is given to illustrate the result.

Riccati transformationoscillation criterianonlinearpositive solutiondelay

赵玉萍

展开 >

青海民族大学 数学与统计学院,青海 西宁 810007

Riccati变换 振动性 非线性 正解 时滞

2024

淮北师范大学学报(自然科学版)
淮北师范大学

淮北师范大学学报(自然科学版)

影响因子:0.222
ISSN:2095-0691
年,卷(期):2024.45(3)