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SUMMER 2013 Solvability and existence of asymptotically stable solutions for a Volterra-Hammerstein integral equation on an infinite interval
Le Thi Phuong Ngoc, Nguyen Thanh Long
J. Integral Equations Applications 25(2): 295-319 (SUMMER 2013). DOI: 10.1216/JIE-2013-25-2-295

Abstract

By applying a fixed point theorem of Krasnosel'skii type, we study the solvability and existence of asymptotically stable solutions for a nonlinear Volterra-Hammerstein integral equation on an infinite interval. In order to illustrate the results obtained, two examples are also given.

Citation

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Le Thi Phuong Ngoc. Nguyen Thanh Long. "Solvability and existence of asymptotically stable solutions for a Volterra-Hammerstein integral equation on an infinite interval." J. Integral Equations Applications 25 (2) 295 - 319, SUMMER 2013. https://doi.org/10.1216/JIE-2013-25-2-295

Information

Published: SUMMER 2013
First available in Project Euclid: 4 November 2013

zbMATH: 1295.47108
MathSciNet: MR3161615
Digital Object Identifier: 10.1216/JIE-2013-25-2-295

Subjects:
Primary: 47H10
Secondary: 45G10 , 47N20 , 65J15

Keywords: asymptotically stable solution , completely continuous , contraction mapping , The fixed point theorem of Krasnosel'skii type , VolterraHammerstein integral equation

Rights: Copyright © 2013 Rocky Mountain Mathematics Consortium

Vol.25 • No. 2 • SUMMER 2013
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