On the non-exponential decay to equilibrium of solutions of nonlinear scalar Volterra integro-differential equations
We study the rate of decay of solutions of the scalar nonlinear Volterra equation \[ x'(t)=-f(x(t))+ \int_{0}^{t} k(t-s)g(x(s))\,ds,\quad x(0)=x_0 \] which satisfy $x(t)\to 0$ as $t\to\infty$. We suppose that $xg(x)>0$ for all $x\not=0$, and that $f$ and $g$ are continuous, continuously diff...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2004-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=169 |