Positive kernels, fixed points, and integral equations

Positive kernels, fixed points, and integral equations

There is substantial literature going back to 1965 showing boundedness properties of solutions of the integro-differential equation \[ x'(t) = -\int^t_0 A(t-s) h(s,x(s))ds \] when $A$ is a positive kernel and $h$ is a continuous function using \[ \int^T_0 h(t,x(t))\int^t_0 A(t-s) h(s,x(s))ds dt...

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Bibliographic Details
Main Authors: Theodore Burton, Ioannis Purnaras
Format: Article
Language:English
Published: University of Szeged 2016-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
positive kernels
integral equations
$l^p$ solutions
fractional equations
fixed points
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6496

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6496

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