Convex Solutions of a Nonlinear Integral Equation of Urysohn Type

被引：0

作者：

Tiberiu Trif

机构：

[1] Babeş-Bolyai University,Faculty of Mathematics and Computer Science

来源：

Fixed Point Theory and Applications | / 2009卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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 [inline-graphic not available: see fulltext] for each [inline-graphic not available: see fulltext], with [inline-graphic not available: see fulltext] being a given integer. A concrete application of the results obtained is presented.

引用

共 50 条

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