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时间尺度上三点边值问题的拟线性方法 被引量:2

Quasilinearization Method and Three Points Boundary Value Problems on Time Scales
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摘要 研究了在时间尺度上非线性二阶三点边值问题的1种有效求解方法.利用拟线性方法构造了2个解序列,它们分别从左右两侧收敛于所求解.而且,收敛速度是二阶的. The method of quasilinearization is applied to the nonlinear second order dynamic equations with the three point boundary conditions on time scales. Two sequences are constructed which can converge uniformly to the unique solution of the three point boundary value problems. The convergence of these sequences are quadratic.
出处 《河北大学学报(自然科学版)》 CAS 北大核心 2008年第1期1-3,21,共4页 Journal of Hebei University(Natural Science Edition)
基金 教育部重点科研项目(207014) 河北省自然科学基金资助项目(A2006000941)
关键词 时间尺度 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 upper solutions convergence
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