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Bondarev Alexey Andreevich


Keywords: Differential equations, Lyapunov stability, Perron stability, upper-limit stability, nonlinear systems, asymptotic properties of solutions

Subject:

Qualitative Theory of Ordinary Differential Equations and Stability Theory


Main publications:
  1. Bondarev A.A., “On the Existence of a Globally Lyapunov Unstable Differential System All of Whose Solutions Tend to Zero as Time Tends to Infinity”, Differential Equations, 58:8 (2022), 999–1007
  2. Bondarev A.A., “Example of a Differential System with Complete Perron and Upper-Limit Instability but Massive Partial Stability”, Differential Equations, 58:2 (2022), 147–153
  3. Bondarev A.A., Sergeev I.N., “Examples of Differential Systems with Contrasting Combinations of Lyapunov, Perron, and Upper-Limit Properties”, Doklady Mathematics, 106:2 (2022), 322–325
  4. Bondarev A.A., “An Example of Complete but not Global Perron Instability”, Moscow University Mathematics Bulletin, 76:2 (2021), 78-82
  5. Bondarev A.A., “An Example of Contasting Combination to Stability and Instability Properties in Even-Dimensional Spaces”, Memoirs on Differential Equations and Mathematical Physics, 87 (2022), 25–36 

Publications in Math-Net.Ru

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© Steklov Math. Inst. of RAS, 2026