A note on stability of integrodifferential equations. (English) Zbl 1218.45007
The author using Lyapunov technique discusses the exponential stability of a nonlinear integrodifferential equation in the form
\[ \frac{dx(t)}{dt}=\int_{t_{0}}^{t}K(t,s)f(x,x(s))ds,\quad x(t_{0})=x_{0}. \]
Theoretical results are presented without example.
\[ \frac{dx(t)}{dt}=\int_{t_{0}}^{t}K(t,s)f(x,x(s))ds,\quad x(t_{0})=x_{0}. \]
Theoretical results are presented without example.
Reviewer: Seenith Sivasundaram (Daytona Beach)
MSC:
| 45J05 | Integro-ordinary differential equations |
| 45M10 | Stability theory for integral equations |
| 45G10 | Other nonlinear integral equations |
