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一类二阶微分方程解的有界性与渐进性
BOUNDEDNESS AND ASYMPTOTIC BEHARVIOR OF SOLUTIONS OF NONLINEAR DIFFER ENTIAL EQUATIONS OF SECOND ORDER
【摘要】 本文利用不等式方法讨论了二阶微分方程(a(t)u’(t) )’ +f(t,u ,u’ ,∫t1 g(t,s,u(s) )ds) =0的解的有界性与渐进性质 ,所得结果包含和改进了前人的某些结果 .
【Abstract】 The boundedness and asymptotic characteristic of solutions of second order nonlinear differential equation (a(t)u′(t))′+f(t,u,u′,∫ t 1g(t,s,u(s) d s)=0 is considered by using the integral ineguality. And the results improve some of the previous results.
【关键词】 微分方程;
有界性;
渐进性;
【Key words】 Nonlinear differential equation; Boundedness; Asymptotic characteristic;
【Key words】 Nonlinear differential equation; Boundedness; Asymptotic characteristic;
- 【文献出处】 哈尔滨师范大学自然科学学报 ,Natural Science Journal of Harbin Normal University , 编辑部邮箱 ,2004年01期
- 【分类号】O175.2
- 【被引频次】5
- 【下载频次】86