Inequalities of solutions of Volterra integral and differential equations
In this paper, we study solutions of Volterra integral and differential equations, $$ x'(t) = -a(t)x(t) + \int_{t-h}^tb(s)x(s)ds + f(t, x_t), \ \ x \in {\bf R}, $$ or $$ X(t)=a(t)+\int_{t-\alpha}^tg(t,s)X(s)ds, \ \ X\in\bf R^n. $$ With Lyapunov functionals, we obtain inequalities for the soluti...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2009-10-01
|
| 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=430 |