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| Banach空间中发展方程的反周期边值问题 | |
| 引用本文： | 张育梅,程毅,王靖华.Banach空间中发展方程的反周期边值问题[J].吉林大学学报(理学版),2012,50(4):715-716. |
| 作者姓名： | 张育梅 程毅 王靖华 |
| 作者单位： | 1. 长春工业大学 人文信息学院, 长春 130122; 2. 空军航空大学 基础部, 长春 130022,3. 吉林大学 数学研究所, 长春 130012 |
| 摘 要： | 利用同伦方法证明了一类发展方程反周期解在Banach空间中的存在性和唯一性. 先构造同伦方程, 再对方程做先验估计. 最后通过定义解算子, 运用拓扑度方法, 给出了发展方程反周期解存在的充分条件. |
| 关 键 词： | 发展方程 同伦方法 边值问题 |
Anti-periodic Boundary Value Problem for a Class of Evolution Equation in Banach Space |
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| ZHANG Yu-mei , CHENG Yi , WANG Jing-hua.Anti-periodic Boundary Value Problem for a Class of Evolution Equation in Banach Space[J].Journal of Jilin University: Sci Ed,2012,50(4):715-716. | |
| Authors: | ZHANG Yu-mei CHENG Yi WANG Jing-hua |
| Institution: | 1. College of Humanities &|Information, Changchun University of Technology, Changchun 130122, China; 2. Department of Foundation, Aviation University of Air Force, Changchun 130022, China; 3. Institute of Mathematics, Jilin University, Changchun 130012, China |
| Abstract: | We proved the existence and uniqueness of a class of evolution equation in Banach space using homotopy methods.We constructed a homotopy equation and made a priori estimate to this equation.Under the definition solution operator conditions,a sufficient condition of existence of solutions was obtained by means of topological degree method. |
| Keywords: | evolution equation homotopy method boundary value problem |
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