一类常微分方程的伯恩斯坦定理

doi:10.16088/j.issn.1001-6600.2016.01.015

Abstract

Abstract: For a class of second order ordinary differential equations u″=exp-u+12tu′,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.

Key words: mean curvature flow, self-similar solution, analytic solution

CLC Number:

O175.7

HUANG Rongli, LI Changyou. On Bernstein’ Theorem to a Class of Ordinary Differential Equations[J].Journal of Guangxi Normal University(Natural Science Edition), 2016, 34(1): 102-105.

References

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On Bernstein’ Theorem to a Class of Ordinary Differential Equations

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