Volterra-Stieltjes型泛函积分方程解的存在性及渐近行为  

On Existence and Asymptotic Behavior of Solutions for Functional Integral Equation of Volterra-Stieltjes Type

作　　者：夏治南 

机构地区：[1]浙江工业大学理学院,杭州310023

出　　处：《数学物理学报（A辑）》2016年第1期130-143,共14页Acta Mathematica Scientia

基　　金：国家自然科学基金(11501507;11426201);浙江省自然科学青年基金(LQ13A010015)资助~~

摘　　要：利用非紧性测度理论和Schauder不动点定理,该文研究了无界区间上Volterra-Stieltjes型泛函积分方程解的存在性和渐近行为.作为应用,并给出了一些例子来验证主要结论.The aim of this paper is to present existence and asymptotic behavior of solutions for the quadratic functional integral equation of Volterra-Stieltjes type on unbounded interval. The concept of measure of noncompactness and the Schauder fixed point principle are the main tools in carrying out our proof. Furthermore, some examples are given to show the efficiency and usefulness of the main findings.

关 键 词：泛函积分方程 Volterra-Stieltjes型 非紧性测度 SCHAUDER不动点定理 渐近行为 

分 类 号：O175.5[理学—数学]