VOLTERRA AND FREDHOLM INTEGRAL EQUATIONS IN LOCALLY CONVEX SPACES, AND LEADER-TYPE CONTRACTIONS IN GAUGE SPACES

被引：0

作者：

Wlodarczyk, Kazimierz ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, Dept Nonlinear Anal, Lodz, Poland

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2023年 / 35卷 / 02期

关键词：

quadratic integral equation; quadratic fractional integral equation; locally convex space; gauge space; Leader-type contraction;

D O I：

10.1216/jie.2023.35.141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There are the several different methods concerning studies of quadratic, quadratic fractional, linear and nonlinear integral equations of Volterra- and Fredholm-type in various spaces. Method of studies of such equations in locally convex spaces with approximation procedure and presented here is new, general, optimal and precise, and also different from those known in the literature. Examples provided in this paper illustrate chosen aspects of our method. The main tools used here are based on our special cases of very general and stronger periodic point, fixed point and approximation theorems concerning not necessarily continuous dynamic systems in not necessarily sequentially complete or separable gauge spaces. © Rocky Mountain Mathematics Consortium

引用

页码：141 / 214

页数：74

共 50 条

[41] THE EXISTENCE OF SOLUTIONS OF NONLINEAR FREDHOLM INTEGRAL EQUATIONS IN BANACH SPACES
闫宝强
史国良
ActaMathematicaScientia, 1998, (S1) : 114 - 119
[42] MULTIPLE SOLUTICNS OF NONLINEAR FREDHOLM INTEGRAL EQUATIONS IN BANACH SPACES
郭大钧
Chinese Annals of Mathematics, 1989, (04) : 513 - 519
[43] Tameness and Rosenthal type locally convex spaces
Matan Komisarchik
Michael Megrelishvili
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
[44] Limited type subsets of locally convex spaces
Gabriyelyan, Saak
AIMS MATHEMATICS, 2024, 9 (11): : 31414 - 31443
[45] LOCALLY CONVEX SPACES AND SCHUR TYPE PROPERTIES
Gabriyelyan, Saak
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2019, 44 : 363 - 378
[46] Holomorphic solution semigroups for Sobolev-type equations in locally convex spaces
Fedorov, VE
SBORNIK MATHEMATICS, 2004, 195 (7-8) : 1205 - 1234
[47] Tameness and Rosenthal type locally convex spaces
Komisarchik, Matan
Megrelishvili, Michael
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (03)
[48] Strongly Holomorphic Groups of Linear Equations of Sobolev Type in Locally Convex Spaces
V. E. Fedorov
Differential Equations, 2004, 40 : 753 - 765
[49] Strongly holomorphic groups of linear equations of sobolev type in locally convex spaces
Fedorov, VE
DIFFERENTIAL EQUATIONS, 2004, 40 (05) : 753 - 765
[50] MULTIVOCAL DIFFERENTIAL EQUATIONS IN LOCALLY CONVEX VECTOR SPACES
CASTAING, C
VALADIER, M
REVUE FRANCAISE D INFORMATIQUE DE RECHERCHE OPERATIONNELLE, 1969, 3 (16): : 3 - &

← 1 2 3 4 5 →