Lyapunov vector functions in nonlinear oscillation problems

Barabanova, AA;Krasnoselskii, MA.;Mawhin, Jean;Fomenko, IV;Fridman, K
(1996) Automation and Remote Control — Vol. 57, n° 3, p. 322-328 (1996)

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Authors
  • Barabanova, AA
    Author
  • Krasnoselskii, MA.
    Author
  • Mawhin, JeanUCLouvain
    Author
  • Fomenko, IV
    Author
  • Fridman, K
    Author
Abstract
New conditions for the existence of forced periodic oscillations in nonlinear systems are stated. For nonperiodic systems, conditions for the existence of solutions which are defined and uniformly bounded on the time axis t epsilon R are derived A modified guiding function method is used [1-4].
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Barabanova, A., Krasnoselskii, MA., Mawhin, J., Fomenko, I., & Fridman, K. (1996). Lyapunov vector functions in nonlinear oscillation problems. Automation and Remote Control, 57(3), 322-328. https://hdl.handle.net/2078.5/76045 (Original work published 1996)