Uniformly finally bounded solutions to systems of differential equations with variable structure and impulses
We study nonlinear non-autonomous systems of ordinary differential equations with variable structure and impulses. The consecutive changes on right-hand sides of this system and the impulsive effects on the solution of the corresponding initial problem take place simultaneously at the moment whe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/205/abstr.html |
| Summary: | We study nonlinear non-autonomous systems of ordinary differential equations
with variable structure and impulses. The consecutive changes on right-hand
sides of this system and the impulsive effects on the solution of the
corresponding initial problem take place simultaneously at the moment
when the solution cancels the switching functions.
We find sufficient conditions for the uniform final boundedness of solutions.
These results are obtained using a suitable variation of the Lyapunov second
method. |
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| ISSN: | 1072-6691 |