The first method of Lyapunov in the study of systems which are described by integro-differential equations of Volterra type (Q2880787)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The first method of Lyapunov in the study of systems which are described by integro-differential equations of Volterra type |
scientific article; zbMATH DE number 6024790
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The first method of Lyapunov in the study of systems which are described by integro-differential equations of Volterra type |
scientific article; zbMATH DE number 6024790 |
Statements
17 April 2012
0 references
Volterra integro-differential equations
0 references
oscillations
0 references
time-delay systems
0 references
fluid mechanics
0 references
Volterra series
0 references
stability
0 references
elasticity theory
0 references
periodic motions
0 references
domain of attraction
0 references
0.88601184
0 references
0.8818555
0 references
0.8817811
0 references
0.8797598
0 references
0.87960905
0 references
The first method of Lyapunov in the study of systems which are described by integro-differential equations of Volterra type (English)
0 references
The problems of existence of periodic motions in time-delay systems are studied. Integro-differential Volterra equations model the state of such systems. The general solution is constructed in the neighborhood of the analysed motion. The estimates of the domain of attraction of the stable motion are provided. The proposed theory is illustrated with examples from fluid mechanics.
0 references
