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《Journal of Guangxi Normal University(Natural Science Edition)》 2016-01
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On Bernstein'Theorem to a Class of Ordinary Differential Equations

HUANG Rongli;LI Changyou;College of Mathematics and Statistics,Guangxi Normal University;  
For a class of second order ordinary differential equations u″=exp(-u+1/2tu′),u=u(t),under some condition,the expressions of solutions of these equations are investigated.If u′(0)=0,it is shown that the solution of the equation has the form of a quadratic multinomial.This result may have a positive effect in finding out the rigidity theorem related to the self-similar expansion solution of the mean curvature flows.
【Fund】: 国家自然科学基金资助项目(11261008);; 广西自然科学基金资助项目(2012GXNSFBA053009)
【CateGory Index】: O175
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