POSITIVE SOLUTIONS FOR SOME NONLINEAR
DELAY INTEGRAL EQUATIONS
Mohammed Said El Khannoussi$^1$, Abderrahim Zertiti$^2$
$^{1,2}$Département de Mathématiques
Université Abdelmalek Essaadi
Faculté des sciences
BP 2121, Tétouan, MOROCCO
Abstract. In this work we give an extension of the results obtained in [#!cz!#], we are interested in producing sufficient conditions for the existence of positive periodic solution to

\begin{displaymath} x(t) = \displaystyle\int_{0}^{\tau(t)} h(t,s,x(t-s-l))\ ds, \end{displaymath}

in the special case where $h(t,s,x)=f(t,s,x)g(t,s,x)$.

For it, we use topological methods, more precisely, the fixed point index.

AMS Subject Classification: 37C25, 47J10, 47B07
Key Words and Phrases: positives periodic solutions; fixed point index; spectral radius; nonlinear delay integral equations


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DOI: 10.12732/ijam.v28i5.9

Volume: 28
Issue: 5
Year: 2015