Periodic boundary value problems for first-order integro-differential equations of mixed type

被引:0
|
作者
Zhang, FB [1 ]
机构
[1] Xuzhou Normal Univ, Dept Math, Xuzhou 221009, Peoples R China
关键词
generalized upper and lower solutions; coincidence degree; monotone iteration; integro-differential equation of mixed type;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence of at feast one solution and the existence of extreme solutions of periodic boundary value problems for first-order integro-differential equations of mixed type are studied, in the presence of generalized upper and laver solutions. The discussion is based an new comparison theorems and coincidence degree and monotone iterative methods.
引用
收藏
页码:363 / 370
页数:8
相关论文
共 50 条
  • [21] Periodic boundary value problems for second-order impulsive integro-differential equations
    Li, Jianli
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 198 (01) : 317 - 325
  • [22] Remarks on the periodic boundary value problems for first-order differential equations
    Zhuang, Wan
    Chen, Yubo
    Chen, Jie
    [J]. Computers and Mathematics with Applications, 1999, 37 (08): : 49 - 55
  • [23] SOLVABILITY OF THREE POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE
    Chen, Guoping
    Shen, Jianhua
    Wang, Weibing
    [J]. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2009, 21 (01) : 21 - 37
  • [24] Impulsive periodic boundary value problems of first-order differential equations
    Li, Jianli
    Nieto, Juan J.
    Shen, Jianhua
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 226 - 236
  • [25] Remarks on the periodic boundary value problems for first-order differential equations
    Wan, Z
    Chen, YB
    Chen, J
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (08) : 49 - 55
  • [26] Periodic boundary value problem for integro-differential equations of mixed type in Banach spaces
    Wang, Xiu-Rong
    Song, Guang-Xing
    [J]. Zhongguo Shiyou Daxue Xuebao (Ziran Kexue Ban)/Journal of China University of Petroleum (Edition of Natural Science), 2008, 32 (02): : 159 - 162
  • [27] Integral boundary value problems for first order integro-differential equations with deviating arguments
    Wang, Guotao
    Song, Guangxing
    Zhang, Lihong
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 225 (02) : 602 - 611
  • [28] Periodic boundary value problems for integro-differential equations in Banach spaces
    Zhang, XF
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2004, 35 (10): : 1223 - 1234
  • [29] On the Unique Solvability of a Family of Boundary Value Problems for Integro-Differential Equations of Mixed Type
    A. T. Assanova
    A. P. Sabalakhova
    Z. M. Toleukhanova
    [J]. Lobachevskii Journal of Mathematics, 2021, 42 : 1228 - 1238
  • [30] The Iterative Solution of Periodic Boundary Value Problems for Second Order Impulsive Integro-differential Equations
    Wang, Xinfeng
    Wang, Di
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 726 - 731