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Banach空间中时滞型多值积分微分包含 被引量：6

Multivalued integrodifferential inclusions in Banach spaces
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摘要 讨论了Banach空间中时滞型积分微分包含.利用Banach空间中半线性微分方程的理论和方法、Hausdorff非紧测度和不动点定理,得到半群在失去紧性的条件下上述方程适度解的存在性,改进和推广了先前一些已有的结果. This paper is concerned with the multivalued integrodifferential inclusions in Banach spaces. The basic tools are the methods and results of semilinear differential equations in Banach spaces, the properties of Hausdorff＇s measure of noncompactness and the fixed point techniques. The existences of mild solutions of the equations in different case are obtained without the assumption of compactness on associated semigroup. It improves and generalizes some previous results in this aera.
作者 练婷婷 张进 李刚
机构地区 扬州大学数学科学学院
出处 《扬州大学学报（自然科学版）》 CAS CSCD 2008年第1期5-9,共5页 Journal of Yangzhou University：Natural Science Edition
基金 国家自然科学基金资助项目(10571150)
关键词 HAUSDORFF非紧测度 积分微分适度解 C0-半群 适度解 Hausdorff measure of noncompactness integrodifferential inclusions C0-semigroup mild solution
分类号 O175.15 [理学—基础数学]
  • 相关文献

参考文献13

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二级参考文献14

  • 1邓海荣,马兆丰.Banach空间中常微分方程解的存在唯一性定理的注[J].扬州大学学报（自然科学版）,2007,10(1):1-3. 被引量：2
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共引文献10

同被引文献46

  • 1NikolaosS.PAPAGEORGIOU,NikolaosYANNAKAKIS.Second Order Nonlinear Evolution Inclusions Existence and Relaxation Results[J].Acta Mathematica Sinica,English Series,2005,21(5):977-996. 被引量：5
  • 2Nikolaos S. PAPAGEORGIOU Nikolaos YANNAKAKIS.Second Order Nonlinear Evolution Inclusions Ⅱ： Structure of the Solution Set[J].Acta Mathematica Sinica,English Series,2006,22(1):195-206. 被引量：2
  • 3TRAVIS C C, WEBB G F. Existence and stability for reversible senigrouos of Lipschitzian mappings in Banach spaces [J]. Dyn Syst Appl, 2000, 9(2): 255-268.
  • 4WEBB G F. Antonomos nonlinear functional differential equations and nonlinear mappings[J]. J Math Anal Appl, 1974,46(1): 1-12.
  • 5LEUNG A W, ZHOU Z. Global stability for large systems of Volterra type integrodifferential population delay equations[J]. Nonlinear Anal, 1988, 12(3): 195-505.
  • 6DONG Qi-xiang, FAN Zhen-bin, LI Gang. Existence of solutions to nonlocal functional differential and integrodifferential equations [J]. Int J Nonlinear Sci, 2008, 5(2) : 140-151.
  • 7FAN Zhen-bin, DONG Qi-xiang, LI Gang. Semilinear differential equations with nonlocal conditions in Banach spaces[J].Int J Nonlinear Sci, 2006, 2(3): 131-139.
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  • 9BENCHOHRA M, DJEBALI S, MOUSSAOUI T. Boundary value problems for doubly perturbed first order ordinary differential systems [J].Electronic J Qual Theory of Diff Eqs, 2006 (11) : 1-10.
  • 10BANAS J, GOEBEL K. Measure of non-compactness in Banach space [M]// Lecture Notes in Pure and Applied Math. New York: Dekker, 1980: 4-138.

引证文献6

二级引证文献10

扬州大学学报（自然科学版）
2008年 第1期

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