Smooth Solutions of a Class of Iterative Functional Differential Equations

被引：2
|
作者：
Zhao, Houyu [1 ]
机构：
[1] Chongqing Normal Univ, Sch Math, Chongqing 401331, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
ANALYTIC SOLUTIONS;
D O I：
10.1155/2012/954352
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By Faa di Bruno's formula, using the fixed-point theorems of Schauder and Banach, we study the existence and uniqueness of smooth solutions of an iterative functional differential equation x'(t) = 1/(c(0)x([0])(t) + c(1)x([1])(t) + ... + c(m)x([m]) (t)).
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Smooth solutions of a class of iterative functional equations
    Shi, Weiwei
    Tang, Xiao
    AEQUATIONES MATHEMATICAE, 2024, 98 (04) : 941 - 951
  • [2] Analytic Solutions of a Class of Iterative Functional Differential Equations
    Liu, Lingxia
    2012 2ND INTERNATIONAL CONFERENCE ON APPLIED ROBOTICS FOR THE POWER INDUSTRY (CARPI), 2012, : 613 - 616
  • [3] Analytic solutions of a class of iterative functional differential equations
    Si, JG
    Zhang, WN
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 162 (02) : 467 - 481
  • [4] Exact solutions of iterative functional differential equations
    Cheng, SS
    Talwong, S
    Laohakosol, V
    COMPUTING, 2006, 76 (1-2) : 67 - 76
  • [5] Exact Solutions of Iterative Functional Differential Equations
    Sui Sun Cheng
    Sukrawan Talwong
    Vichian Laohakosol
    Computing, 2006, 76 : 67 - 76
  • [6] ANALYTIC SOLUTIONS FOR ITERATIVE FUNCTIONAL DIFFERENTIAL EQUATIONS
    Zhang, Pingping
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [7] Smooth solutions of a nonhomogeneous iterative functional differential equation
    Si, JG
    Cheng, SS
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1998, 128 : 821 - 831
  • [8] Special solutions of a general class of iterative functional equations
    Veerapazham Murugan
    Papagudi Venkatachalam Subrahmanyam
    Aequationes mathematicae, 2008, 76 : 317 - 320
  • [9] Periodic solutions of a class of third-order functional differential equations with iterative source terms
    Ahlème Bouakkaz
    Abdelouaheb Ardjouni
    Rabah Khemis
    Ahcene Djoudi
    Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 443 - 458
  • [10] Periodic solutions of a class of third-order functional differential equations with iterative source terms
    Bouakkaz, Ahleme
    Ardjouni, Abdelouaheb
    Khemis, Rabah
    Djoudi, Ahcene
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (02): : 443 - 458
12345