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二阶非线性微分议程解的平方可积性与有界性(英文)
引用本文:孙元功 ,孟凡伟.二阶非线性微分议程解的平方可积性与有界性(英文)[J].Annals of Differential Equations,2002(1).
作者姓名:孙元功  孟凡伟
作者单位:Dept. of Moth.,Qufu Normal University,Qufu 273165
基金项目:Project supported by NNSF of China (19771053),NSF of Shandong (Q97A05116).
摘    要:1 IntroductionIn this paPer, we consider the second order nonlinear differential equationwhere r(t) > 0 fOr t E a, oo) and r(t) is absolutely continuous on a, oc), p, q1and q2 are real functions defined on a, oo) and f is a real function defined ona, oo) x (--oc, oo) which satisfieswhere 0 S cr S 1, g(t) 2 0 and h(t) 2 0 for t E a, oo).The behaviors of quadratic integrability and boundedness fOr some moreparticular forms of equation (l) such as have been studied (see 1--4]). And many …


QUADRATIC INTEGRABILITY AND BOUNDEDNESS FOR THE SOLUTIONS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS
Sun Yuangong,& Meng Fanwei.QUADRATIC INTEGRABILITY AND BOUNDEDNESS FOR THE SOLUTIONS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS[J].微分方程年刊(英文版),2002(1).
Authors:Sun Yuangong  & Meng Fanwei
Abstract:
Keywords:auxiliary function  parameters  quadratic integrability  boundedness  
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