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Banach空间非线性脉冲Fredholm型积分方程的耦合拟解及解 被引量:1

COUPLED QUASI-SOLUTIONS AND SOLUTIONS OF NONLINEAR IMPULSIVE FREDHOLM INTEGRAL EQUATIONS IN BANACH SPACES
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摘要 本文利用不等式迭代技术和Monch不动点定理,研究了Banach空间非线性脉冲 Fredholm型积分方程耦合拟解及解的存在性,其方法和结果改进并发展了有关文献. In this paper, we use the inequality iterative technique and the Monch fixed-point theorem to study the coupled quasi-solutions and solutions of nonlinear impulsive Fred-holm integral equations in Banach spaces. Essentially, the methods and results both extend and improve those in the related references.
出处 《系统科学与数学》 CSCD 北大核心 2004年第4期488-495,共8页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金资助课题.
关键词 BANACH空间 积分方程 解的存在性 不动点定理 迭代 耦合 非线性 并发 脉冲 Impulsive Fredholm integral equations, inequality iterative technique, mea-sure of noncompactness.
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参考文献6

  • 1郭大钧.非线性泛函分析.济南:山东科技出版社,1985.
  • 2Erbe L H, Liu X. Quasi-solutions of nonlinear impulsive equations in abstract spaces. Appl. Anal.,1989, 34: 231-250.
  • 3Guo Dajun. Impulsive integral equations in Banach spaces and applications. J Appl. Math.Stochastic Appl., 1992, 5: 111-122.
  • 4Guo Dajun, Lakshmikantham V, Liu Xin Zhi. Nonlinear integral equations in abstract spaces.Kluwer Academic Publishers, Dordrecht, 1996.
  • 5Guo Dajun. Extremal solutions of nonlinear Fredholm integral equations in ordered Banach spaces.Northeastern Math. J., 1991, 7(4): 416-423.
  • 6Deimling K. Nonlinear functional analysis. Berlin: Springer-Verlag, 1985.

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