ON EXISTENCE THEOREMS FOR SOME NONLINEAR FUNCTIONAL-INTEGRAL EQUATIONS

被引：0

作者：

Mishra, Lakshmi Narayan ^{[1
,2
]}

Agarwal, Ravi P. ^{[3
]}

机构：

[1] Natl Inst Technol, Dept Math, Cachar 788010, Assam, India

[2] L 1627 Awadh Puri Colony,Phase 3, Faizabad 224001, Uttar Pradesh, India

[3] Texas A&I Univ, Dept Math, 700 Univ Blvd, Kingsville, TX 78363 USA

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2016年 / 25卷 / 03期

关键词：

ASYMPTOTIC STABILITY; LOCAL ATTRACTIVITY; FIXED-POINTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present sufficient conditions for the existence of solutions of two different types of nonlinear functional-integral equations in Banach space C([0, a] x [0, b], R) consisting of real functions, defined and continuous on the set [0, a] x [0, b]. The main tools used in the proof are the concept of measures of noncompactness, Petryshyn fixed point theorem and Darbo's theorem in Banach space concerning the estimate on the solutions. Finally, we establish some examples of nonlinear functional -integral equations to show that our results are applicable.

引用

页码：303 / 319

页数：17