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非局部条件下积分微分方程适度解的存在性 被引量：1

Existence of mild solutions for integro-differential equations with nonlocal conditions
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摘要 利用凸幂凝聚算子不动点定理,结合Hausdorff非紧测度的方法,给出相关半群在等度连续条件下Banach空间中积分微分方程适度解的存在性,改进和推广了已有的一些结果. By using the method of fixed point theorem of convex-power condensing operators and Hausdoff＇s measure of noneompactness, the author studies the existence of mild solutions for inte-gro-differential equations with nonlocal conditions. Here C0-semigroup is equicontinuous. The results obtained are a generalization and continuation of the recent results on this issue.
作者 练婷婷 李刚
机构地区 扬州大学数学科学学院 盐城工学院基础教学部
出处 《扬州大学学报（自然科学版）》 CAS 北大核心 2014年第2期16-19,共4页 Journal of Yangzhou University：Natural Science Edition
基金 国家自然科学基金资助项目(11271316) 国家自然科学基金青年基金资助项目(11201406)
关键词 HAUSDORFF非紧测度 凸幂凝聚算子不动点 积分微分方程 适度解 Hausdorff measure of noncompactness fixed point of convex-power condensing ope-rators integro-differential equations mild solution
分类号 O175.15 [理学—基础数学]
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参考文献10

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二级参考文献28

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共引文献13

同被引文献10

  • 1BENCHOHRA M, HENDERSON J, NTOUYAS S. Impulsive differential equations and inclusions [M]. New York: Hindawi Publishing Corporation, 2006:1 62.
  • 2EAN Zhenbin, LI Gang. Existence results for semilinear differential equations with nonlocal and impulsive condi- tions [J]. J Funct Anal, 2010, 258(5): 1709 1727.
  • 3BYSZEWSKI L. Theorems about the existence and uniqueness of solutions o{ a semilinear evolution nonlocal Cauchy problem [J]. J Math Anal Appl, 1991,162(2): 494 505.
  • 4JI Shaochun. Approximate controllability of semilinear nonlocal fractional differential systems via an approxima- ting method [J]. Appl Math Comput, 2014, 236: 43-53.
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  • 6CARDINALI T, RUBBIONI P. On the existence of mild solutions of semilinear evolution differential inclusions [J]. J Math Anal Appl, 2005, 308(2): 620-635.
  • 7ZHU Lanping, LI Gang. On a nonlocal problem for semilinear dif{erential equations with upper semicontinuous nonlinearities in general Banach spaces [J]. J Math Anal Appl, 2008, 341(1); 660 675.
  • 8BOTHE D. Multivalued perturbations of m-accretive differential inclusions [J]. Israel J Math, 1998, 108(1): 109-138.
  • 9嵇绍春,李刚.非局部条件下脉冲微分方程的适度解[J].扬州大学学报（自然科学版）,2010,13(1):13-16. 被引量：5
  • 10嵇绍春,李刚.脉冲条件下半线性微分包含的适度解[J].黑龙江大学自然科学学报,2013,30(4):483-487. 被引量：1

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扬州大学学报（自然科学版）
2014年 第2期

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