Zhang Fubao. Periodic Boundary Value Problems for First Order Integrodifferential Equations of Mixed Type[J]. Applied Mathematics and Mechanics, 2000, 21(3): 323-330.
Citation: Zhang Fubao. Periodic Boundary Value Problems for First Order Integrodifferential Equations of Mixed Type[J]. Applied Mathematics and Mechanics, 2000, 21(3): 323-330.

Periodic Boundary Value Problems for First Order Integrodifferential Equations of Mixed Type

  • Received Date: 1998-04-22
  • Publish Date: 2000-03-15
  • The existence of at least one solution and the existence of extreme solutions of periodic boundary value problems for first order integrodifferential equations of mixed type are studied,in the presence of generalized upper and lower solutions. The discussion is based on new comparative theorems and coincidence degree and monotone iterative methods.
  • loading
  • [1]
    Ladde G S, Lakshmikantham V, Vatsala.Monotone Iterative Techniques of Nonlinear Differential
    [2]
    Equations[M].Boston:Pitman Publishing Inc,1985.
    [3]
    Kaul S K, Vatsla A S.Monotone method for integrodifferential equations with periodic boundary conditions[J].Appl Anal,1986,21(4):297~305.
    [4]
    Hu Shouchuan, Lakshmikantham V.Periodic boundary value problems for integrodifferential equations of Volterra type[J].Nonlinear Anal,1986,10(11):1203~1208.
    [5]
    Cabada A.The monotone method for first-order problems with linear and nonlinear boundary conditins[J].Appl Math Comp,1994,151(1):163~186.
    [6]
    Cheng Yubo, Zhuang Wan.On monotone iterative method for periodic boundary value problems of nonlinear integrodifferential equations[J].Nonlinear Anal,1994,22(3):295~303.
    [7]
    Nkashama M N.A generalization upper and lower solutions methods and multiplicity results for nonlinear first-order ODEs[J].J Math Anal Appl,1998,140(2):381~395.
    [8]
    Erbe L H, Guo Dajun.Periodic boundary value problems for second order integrodifferential equations of mixed type[J].Anal Appl,1992,46(4):249~258.
    [9]
    盖尔鲍姆,奥姆斯特德.分析中的反例[M](高枚译).上海:上海科学技术出版社,1980.
    [10]
    Gaines R E, Mawhin J L.Coincidence Degree and Nonlinear Differential Equations[M].Lecture Notes in Math,Vol.568,Berlin,New York:Springer-Verlag,1977.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2474) PDF downloads(683) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return