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23 April 2024

» arxiv » math-ph/0202022

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On the Number of Positive Solutions to a Class of Integral Equations
Long Wang ; Wensheng Yu ; Lin Zhang ;
Date:	17 Feb 2002
Subject:	Mathematical Physics; Rings and Algebras MSC-class: 45M20 \| math-ph math.MP math.RA
Abstract:	By using the complete discrimination system for polynomials, we study the number of positive solutions in {small $C[0,1]$} to the integral equation {small $phi (x)=int_0^1k(x,y)phi ^n(y)dy$}, where {small $k(x,y)=phi_1(x)phi_1(y)+phi_2(x)phi_2(y), phi_i(x)>0, phi_i(y)>0, 0
Source:	arXiv, math-ph/0202022
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