| 二阶非线性微分议程解的平方可积性与有界性(英文) |
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| 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, 0(1) |
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| 作者姓名： | 孙元功 孟凡伟 |
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| 作者单位： | Dept. of Moth.，Qufu Normal University，Qufu 273165 |
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| 基金项目： | Project supported by NNSF of China (19771053)，NSF of Shandong (Q97A05116). |
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| 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 on[a, 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 …
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QUADRATIC INTEGRABILITY AND BOUNDEDNESS FOR THE SOLUTIONS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS |
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| 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, 0(1) |
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| Authors: | Sun Yuangong & Meng Fanwei |
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| Abstract: | |
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| Keywords: | auxiliary function parameters quadratic integrability boundedness |
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