| 非线性发展方程非局部初值问题解的存在性 |
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| 引用本文： | 王远弟.非线性发展方程非局部初值问题解的存在性[J].应用数学,1998,11(3):65-69. |
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| 作者姓名： | 王远弟 |
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| 作者单位： | 上海交通大学应用数学系!上海，200030 |
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| 摘 要： | 本文讨论非线性方程的非局部初值问题，利用半群理论、单调算子理论以及Banach不动点定理，分别得到两个问题的温和解和弱解的存在唯一性定理．
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| 关 键 词： | 非线性发展方程 温和解 弱解 存在唯一性 非局部问题 |
Existence of Solutions for Nonlinear EvolUtion Equation with Nonlocal Initial Data |
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| Wang Yuandi.Existence of Solutions for Nonlinear EvolUtion Equation with Nonlocal Initial Data[J].Mathematica Applicata,1998,11(3):65-69. |
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| Authors: | Wang Yuandi |
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| Abstract: | The aim of this paper is to give two theorems about the existence of solutions of nonlocal Cauchy problem for a nonlinear evolution equation. The method of semigroups, monotonicity method and Banach fixed point theorem are used to prove the existence and uniqueness of solutions of the problem. |
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| Keywords: | Nonlinear evolution equation Nonlocal Cauchy problems Mild-solution |
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