On the stability of periodic impulsive systems
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Publication:1889687
DOI10.1023/B:MATN.0000036739.35916.aezbMath1063.34003OpenAlexW1999133280MaRDI QIDQ1889687
R. I. Gladilina, A. O. Ignat'ev
Publication date: 7 December 2004
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/b:matn.0000036739.35916.ae
Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20)
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On stability of solutions of nonlinear nonstationary systems of impulsive differential equations in a critical case ⋮ On the volume of a spherical octahedron with symmetries ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ An analog to Kamenkov's critical stability case for nonstationary systems of impulsive differential equations ⋮ Periodic solutions of second order impulsive system for an integro-differential equations with maxima ⋮ Homogeneous polynomials as Lyapunov functions in the stability research of solutions of difference equations ⋮ Application of Lyapunov's direct method to the study of the stability of solutions to systems of impulsive differential equations
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