Nontrivial solutions of Hammerstein integral equations with reflections

被引：19
作者：
Cabada, Alberto [1 ]
Infante, Gennaro [2 ]
Fernandez Tojo, Fernando Adrian [1 ]
机构：
[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
[2] Univ Calabria, Dipartimento Matemat & Informat, I-87036 Cosenza, Italy
来源：
BOUNDARY VALUE PROBLEMS | 2013年
关键词：
fixed point index; cone; nontrivial solution; BOUNDARY-VALUE-PROBLEMS; MULTIPLE POSITIVE SOLUTIONS; ALMOST-PERIODIC SOLUTIONS; DIFFERENTIAL-EQUATIONS; LINEAR-OPERATORS; EXISTENCE; THEOREMS;
D O I：
10.1186/1687-2770-2013-86
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the theory of fixed point index, we establish new results for the existence of nonzero solutions of Hammerstein integral equations with reflections. We apply our results to a first-order periodic boundary value problem with reflections. MSC: 34K10, 34B15, 34K13.
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页码：1 / 22
页数：22
相关论文
共 36 条
  • [1] BOUNDED SOLUTIONS FOR DIFFERENTIAL-EQUATIONS WITH REFLECTION OF THE ARGUMENT
    AFTABIZADEH, AR
    YONG, KH
    WIENER, J
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 135 (01) : 31 - 37
  • [2] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES
    AMANN, H
    [J]. SIAM REVIEW, 1976, 18 (04) : 620 - 709
  • [3] Andrade D., 2002, Neural, Parallel & Scientific Computations, V10, P227
  • [4] [Anonymous], 1987, INT J MATH MATH SCI
  • [5] [Anonymous], 2000, DIFF EQNS DYNAM SYST
  • [6] [Anonymous], 1976, Nonlinear Operators and Differential Equations in Banach Spaces
  • [7] Comparison results for first order linear operators with reflection and periodic boundary value conditions
    Cabada, Alberto
    Tojo, F. Adrian F.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 78 : 32 - 46
  • [8] Computation of Green's functions for boundary value problems with Mathematica
    Cabada, Alberto
    Angel Cid, Jose
    Maquez-Villamarin, Beatriz
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) : 1919 - 1936
  • [9] On comparison principles for the periodic Hill's equation
    Cabada, Alberto
    Angel Cid, J.
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2012, 86 : 272 - 290
  • [10] Loss of positivity in a nonlinear second order ordinary differential equations
    Fan, Hongxia
    Ma, Ruyun
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 437 - 444
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