| 非线性发展方程近似解收敛性与稳定性的等价定理 |
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| 引用本文： | 鲁百年.非线性发展方程近似解收敛性与稳定性的等价定理[J].陕西师范大学学报,1990(3). |
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| 作者姓名： | 鲁百年 |
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| 作者单位： | 陕西师大数学系 |
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| 基金项目： | 陕西师范大学青年科学基金资助课题 |
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| 摘 要： | 考察了非线性抽象算子发展方程近似解收敛性与稳定性,提出了非线性算子的有界延拓的概念,由此给出了一般近似解收敛性与稳定性证明的统一方法,从而避免了较复杂的先验估计。
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| 关 键 词： | 非线性发展方程 有界延拓算子 收敛性 稳定性 近似解 |
On Convergence and Stability of Approximations for Nonlinear Evolution Equations |
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| Lu Bainian.On Convergence and Stability of Approximations for Nonlinear Evolution Equations[J].Journal of Shaanxi Normal University: Nat Sci Ed,1990(3). |
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| Authors: | Lu Bainian |
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| Institution: | Department of Mathematics |
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| Abstract: | The convergence and the stability of approximations for nonlinear evolution equations with abstract operators are studied.The concept, bounded extension of nonlinear differential operator is presented.The existence of bounded extension is Proved. Moreover, a unified method of proving the convergence and the stability are given so that the complex priori estimates are avoided. |
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| Keywords: | nonlinear evolution equations bounded extension operator convergence stability discrete solutions |
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