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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2016-06-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6496 |