Solution of nonlinear integral equations of Hammerstein type

被引：27

作者：

Chidume, C. E. ^{[1
]}

Ofoedu, E. U. ^{[2
]}

机构：

[1] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy

[2] Nnamdi Azikiwe Univ, Dept Math, Awka 5025, Anambra State, Nigeria

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 13期

关键词：

Accretive operators; Generalized duality maps; Equations of Hammerstein type; Modulus of smoothness; Uniformly Gateaux differentiable norm; MONOTONE OPERATORS; BANACH-SPACES; EXISTENCE;

D O I：

10.1016/j.na.2011.02.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let E be a 2-uniformly real Banach space and F, K : E -> E be nonlinear-bounded accretive operators. Assume that the Hammerstein equation u + KFu = 0 has a solution. A new explicit iteration sequence is introduced and strong convergence of the sequence to a solution of the Hammerstein equation is proved. The operators F and K are not required to satisfy the so-called range condition. No invertibility assumption is imposed on the operator K and F is not restricted to be an angle-bounded (necessarily linear) operator. (c) 2011 Elsevier Ltd. All rights reserved.

引用

页码：4293 / 4299

页数：7

共 50 条

[1] Analytic solution of nonlinear integral equations of Hammerstein type
Adomian, G
[J]. APPLIED MATHEMATICS LETTERS, 1998, 11 (03) : 127 - 130
[2] NONLINEAR INTEGRAL EQUATIONS OF THE HAMMERSTEIN TYPE
DOLPH, CL
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 66 (JUL-) : 289 - 307
[3] SOLVABILITY OF NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE
DEFIGUEI.DG
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 285 - &
[4] Approximating the solution of nonlinear Hammerstein fuzzy integral equations
Bica, Alexandru Mihai
Popescu, Constantin
[J]. FUZZY SETS AND SYSTEMS, 2014, 245 : 1 - 17
[5] The solution by iteration of nonlinear equations of Hammerstein type
Moore, C
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 49 (05) : 631 - 642
[6] Positive solutions for nonlinear integral equations of Hammerstein type
Horvat-Marc, Andrei
[J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2008, 24 (02) : 54 - 62
[7] NONLINEAR INTEGRAL-EQUATIONS AND SYSTEMS OF HAMMERSTEIN TYPE
BREZIS, H
BROWDER, FE
[J]. ADVANCES IN MATHEMATICS, 1975, 18 (02) : 115 - 147
[8] MONOTONE OPERATORS AND NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE
BROWDER, FE
GUPTA, CP
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 75 (06) : 1347 - &
[9] ITERATIVE SOLUTIONS OF NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE
Tufa, Abebe R.
Zegeye, H.
Thuto, M.
[J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2015, 9 (02): : 129 - 141
[10] SOLVABILITY OF NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE WITH APPLICATIONS
GUO, DJ
[J]. CHINESE MATHEMATICS, 1966, 8 (02): : 145 - &

← 1 2 3 4 5 →