Some results on the space of bounded second ?-variation functions

被引：0

作者：

Ereu, Jurancy ^{[1
]}

Marchan, Luz E. ^{[2
]}

Perez, Liliana ^{[2
]}

Rojas, Henry ^{[1
]}

机构：

[1] Univ Centroccidental Lisandro Alvarado, Dept Matemat Decanato Ciencias & Tecnol, Barquisimeto, Estado Lara, Venezuela

[2] Escuela Super Politecn Litoral, Fac Ciencias Nat & Matemat, ESPOL, Campus Gustavo Galindo Km 30-5 Via Perimetral,POB, Guayaquil, Ecuador

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 09期

关键词：

superposition operator; integral equation; bounded second & kappa; -variation; Hammerstein; Hammerstein-Volterra; Volterra existence and uniqueness;

D O I：

10.3934/math.20231115

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that if a globally Lipschitz non-autonomous superposition operator maps the space of functions of bounded second ?-variation into itself then its generator function satisfies a Matkowski condition. We also provide conditions for the existence and uniqueness of solutions of the Hammerstein and Volterra equations in this space.

引用

页码：21872 / 21892

页数：21

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