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| Banach空间中抽象半线性发展方程的初值问题 | |
| 引用本文： | 黄瑞,刘永. Banach空间中抽象半线性发展方程的初值问题[J]. 徐州师范大学学报(自然科学版), 2010, 28(1): 28-32 |
| 作者姓名： | 黄瑞 刘永 |
| 作者单位： | 徐州师范大学,数学科学学院,江苏,徐州,221116 |
| 摘 要： | 利用凸幂凝聚算子的不动点定理，研究了Banach空间中一类具有非紧半群的半线性发展方程初值问题的整体mild解和正mild解的存在性． |
| 关 键 词： | Banach空间 抽象发展方程 解的存在性 |
The inital value problem of Abstract semilinear evolution equation in Banach spaces |
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| HUANG Rui,LIU Yong. The inital value problem of Abstract semilinear evolution equation in Banach spaces[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2010, 28(1): 28-32 | |
| Authors: | HUANG Rui LIU Yong |
| Affiliation: | HUANG Rui,LIU Yong(School of Mathematical Science,Xuzhou Normal University,Xuzhou 221116,Jiangsu,China) |
| Abstract: | In this paper,using the fixed point theorem of convex-power condensing operator,we study the existence of global mild solutions and positive mild solutions of inital value problem for a class of semilinear evolution equations with noncompact semigroup in Banach spaces. |
| Keywords: | Banach space Abstract evolution equation existence of solution |
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