On the Number of Positive Solutions to a Class of Integral Equations

Details On the Number of Positive Solutions to a Class of Integral Equations On the Number of Positive Solutions to a Class of Integral Equations

2002-02-17

arxiv.org/abs/math-ph/0202022v1

Physics

Mathematical Physics

9 pages

Scientific paper

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

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