| 一类非线性演化方程初值问题的幂级数解 |
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| 引用本文： | 朱春蓉,王建强.一类非线性演化方程初值问题的幂级数解[J].纯粹数学与应用数学,2009,25(4):749-751. |
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| 作者姓名： | 朱春蓉 王建强 |
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| 作者单位： | 1. 安徽师范大学数学计算机科学学院,安徽,芜湖,241000;西北大学数学系,陕西,西安,710069
2. 安徽师范大学数学计算机科学学院,安徽,芜湖,241000 |
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| 基金项目： | 西北大学研究生自主创新资助项目，安徽师范大学青年基金 |
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| 摘 要： | 研究了一类非线性演化方程初值问题.通过不变子空间方法,这类初值问题被约化为常微分方程组的初值问题.这类初值问题是适定的.本文给出了这类初值问题关于时间变量t的幂级数解.
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| 关 键 词： | 非线性演化方程 初值问题 不变子空间 幂级数解 |
Power series solutions of initial value problems for a class of nonlinear evolution equations |
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| ZHU Chun-rong,WANG Jian-qiang.Power series solutions of initial value problems for a class of nonlinear evolution equations[J].Pure and Applied Mathematics,2009,25(4):749-751. |
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| Authors: | ZHU Chun-rong WANG Jian-qiang |
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| Institution: | ZHU Chun-rong 1,2,WANG Jian-qiang 1 (1.College of Mathematics , Computer Science,Anhui Normal University,Wuhu 241000,China,2.Department of Mathematics,Northwest University,Xi'an 710069,China) |
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| Abstract: | The initial problems of a class of nonlinear evolution equations were considered in this paper,which can be reduced to the initial problems of a class of systems of ordinary partial differential equations by invariant subspace method.The initial value problems are well posed.The power series solutions with respect to variable t of the initial problems are presented. |
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| Keywords: | nonlinear evolution equations initial value problem invariant subspace power series solutions |
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