Instability of solutions of impulsive systems of differential equations
Journal Article
·
· International Journal of Theoretical Physics
- Academy of Medicine, Sofia (Bulgaria)
- Plovdiv Univ. (Bulgaria)
- Technical Univ., Sliven (Bulgaria)
We consider instability of the zero solution of impulsive systems of differential equations with unfixed moments of the impulse effect. Piecewise continuous auxiliary functions are used which are analogues of the classical Lyapunov functions. An analogue of Chetaev`s theorem for systems of differential equations without impulses is proved and some corollaries are deduced.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 482312
- Journal Information:
- International Journal of Theoretical Physics, Journal Name: International Journal of Theoretical Physics Journal Issue: 8 Vol. 35; ISSN 0020-7748; ISSN IJTPBM
- Country of Publication:
- United States
- Language:
- English
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