Volterra-Stieltjes型泛函积分方程解的存在性及渐近行为

Abstract

Abstract:

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.

Key words: Functional integral equation, Volterra-Stieltjes, Measure of noncompactness, Schauder fixed point principle, Asymptotic behavior

CLC Number:

O175.5

Xia Zhinan. On Existence and Asymptotic Behavior of Solutions for Functional Integral Equation of Volterra-Stieltjes Type[J].Acta mathematica scientia,Series A, 2016, 36(1): 130-143.

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References

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

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