ON THE HAMMERSTEIN EQUATION IN THE SPACE OF FUNCTIONS OF BOUNDED phi-VARIATION IN THE PLANE

被引：1

作者：

Azocar, Luis ^{[1
]}

Leiva, Hugo ^{[2
]}

Matute, Jesus ^{[2
]}

Merentes, Nelson ^{[3
]}

机构：

[1] Univ Nacl Abierta, Area Matemat, Caracas, Venezuela

[2] Univ Los Andes, Dept Matemat, Merida 5101, Venezuela

[3] Univ Cent Venezuela, Escuela Matemat, Caracas, Venezuela

来源：

ARCHIVUM MATHEMATICUM | 2013年 / 49卷 / 01期

关键词：

existence and uniqueness of solutions of the Hammerstein integral equation in the plane; phi-bounded total variation norm on a rectangle;

D O I：

10.5817/AM2013-1-51

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study existence and uniqueness of solutions for the Hammerstein equation u(x) = v(x) + lambda integral(Iab) K(x, y) f (y, u(y) dy, x is an element of I-a(b) := [a(1), b(1)] x [a(2), b(2)], in the space BV phi R(I-a(b)) of function of bounded total phi-variation in the sense of Riesz, where lambda is an element of R, K: I-a(b) x I-a(b) -> R and f : I-a(b) x R -> R are suitable functions.

引用

页码：51 / 64

页数：14

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