FIXED POINTS OF HAMMERSTEIN-TYPE EQUATIONS ON GENERAL CONES

被引：8
|
作者：
Figueroa, Ruben [1 ]
Tojo, F. Adrian F. [1 ]
机构：
[1] Univ Santiago de Compostela, Dept Analise Matemat, Fac Matemat, Santiago De Compostela, Spain
来源：
FIXED POINT THEORY | 2018年 / 19卷 / 02期
关键词：
Cones; fixed points; Hammerstein equations; BOUNDARY-VALUE-PROBLEMS; MULTIPLE POSITIVE SOLUTIONS; ORDERED BANACH-SPACES; EIGENVALUE CRITERIA; ARBITRARY ORDER; NONLOCAL BVP; EXISTENCE; THEOREM;
D O I：
10.24193/fpt-ro.2018.2.45
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain new results on the existence and multiplicity of fixed points of Hammerstein equations in very general cones. In order to achieve this, we combine a new formulation of cones in terms of continuous functionals with fixed point index theory. Many examples and an application to boundary value problems are also included.
引用
下载
收藏
页码：571 / 586
页数：16
相关论文
共 50 条
  • [41] A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations
    George, Santhosh
    Nair, A. Thamban
    JOURNAL OF COMPLEXITY, 2008, 24 (02) : 228 - 240
  • [42] On positive fixed points of operator of Hammerstein type with degenerate kernel and Gibbs measures
    Mavlonov, I. M.
    Khushvaktov, Kh. N.
    Arzikulov, G. P.
    Haydarov, F. H.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2024, 220 (03) : 1580 - 1588
  • [43] Identification of Nonlinear Dynamic Systems Using Hammerstein-Type Neural Network
    Yu, Hongshan
    Peng, Jinzhu
    Tang, Yandong
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [44] Adaptive Relay Based Identification and Control of Hammerstein-Type Nonlinear Processes
    Mehta, Utkal
    Majhi, Somanath
    PROCEEDINGS OF THE INDICON 2008 IEEEE CONFERENCE & EXHIBITION ON CONTROL, COMMUNICATIONS AND AUTOMATION, VOL II, 2008, : 355 - 360
  • [45] Gray-Box Parsimonious Subspace Identification of Hammerstein-Type Systems
    Hou, Jie
    Chen, Fengwei
    Li, Penghua
    Zhu, Zhiqin
    IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2021, 68 (10) : 9941 - 9951
  • [46] Subspace identification of Hammerstein-type nonlinear systems subject to unknown periodic disturbance
    Hou, Jie
    Liu, Tao
    Wang, Qing-Guo
    INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (04) : 849 - 859
  • [47] Identification of a class of Wiener and Hammerstein-type nonlinear processes with monotonic static gains
    Mehta, Utkal
    Majhi, Somanath
    ISA TRANSACTIONS, 2010, 49 (04) : 501 - 509
  • [48] Characterizations of reproducing cones and uniqueness of fixed points
    Feng, Yuqiang
    Wang, Haonan
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (16) : 5759 - 5765
  • [49] Fixed points of conformal compressions of symmetric cones
    Lim, Y
    MATHEMATISCHE ANNALEN, 2001, 321 (03) : 601 - 613
  • [50] Fixed points of conformal compressions of symmetric cones
    Yongdo Lim
    Mathematische Annalen, 2001, 321 : 601 - 613
12345