Convex Solutions of a Nonlinear Integral Equation of Urysohn Type

被引：0

作者：

Trif, Tiberiu ^{[1
]}

机构：

[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

FIXED POINT THEORY AND APPLICATIONS | 2009年

关键词：

Integral Equation; Positive Real Number; Hausdorff Measure; Divided Difference; Nonlinear Integral Equation;

D O I：

10.1155/2009/917614

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the solvability of a nonlinear integral equation of Urysohn type. Using the technique of measures of noncompactness we prove that under certain assumptions this equation possesses solutions that are convex of order p for each p is an element of {-1, 0,...,r}, with r >= -1 being a given integer. A concrete application of the results obtained is presented. Copyright (C) 2009 Tiberiu Trif.

引用

页数：13

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