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Banach空间一阶微分方程终值问题的解
MAXIMAL AND MINIMAL SOLUTIONS OF TERMINAL VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS IN BANACH SPACES
【摘要】 本文利用新的比较结果和半序理论研究Banach空间中一阶非线性微分方程终值问题的最小解和最大解的存在性,改进和推广了某些已知结果.
【Abstract】 In this paper, by the use of new comparison results and the order methods innonlinear analysis, we study the existence of maximal and minimal solutions of terminal valueproblems for differential equations in Banach spaces. Some known results are improved andgeneralized.
【关键词】 Banach空间;
终值问题;
半序理论;
非紧性测度;
【Key words】 Banach spaces; terminal value problems; the order methods; measures ofnoncompactness.;
【Key words】 Banach spaces; terminal value problems; the order methods; measures ofnoncompactness.;
【基金】 常州技术师范学院学术带头人科研基金
- 【文献出处】 系统科学与数学 ,JOURNAL OF SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES , 编辑部邮箱 ,1999年03期
- 【分类号】O177
- 【被引频次】29
- 【下载频次】138