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时标上非线性三点边值问题的拟线性方法

The nonlinear three-points boundary value problems on time scales
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摘要 利用拟线性方法,研究了时标上非线性动力方程两项和的三点边值问题,得到了两个一致收敛于所讨论问题的唯一解的单调序列,而且是二阶收敛的。 The method of quasilinearization is applied to the nonlinear second order dynamic equationswith the three-point boundary conditions on time scales, two sequences could be constructed which converge uniformly to the unique solution of the three - point boundary value problems and the convergence is quadratic.
出处 《华北电力大学学报(自然科学版)》 CAS 北大核心 2009年第2期110-112,共3页 Journal of North China Electric Power University:Natural Science Edition
基金 国家自然科学基金资助项目(70671039)
关键词 时标 拟线性方法 三点边值问题 上下解 收敛 time scales quasilinearization method three- point boundary value problems lower and uppersolutions convergence
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