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Remark on Krasnosielski's guiding functions and Srzednicki's periodic segments

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Publication:1004611
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DOI10.1016/j.na.2008.02.115zbMath1170.34324OpenAlexW2030947526MaRDI QIDQ1004611

Grzegorz Kosiorowski

Publication date: 11 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.115


zbMATH Keywords

fixed point indexLefschetz numberguiding functionperiodic segment


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)




Cites Work

  • A geometric method for detecting chaotic dynamics
  • Periodic solutions of complex-valued differential equations and systems with periodic coefficients
  • On rest points of dynamical systems
  • Periodic and bounded solutions in blocks for time-periodic nonautonomous ordinary differential equations
  • The Operator of Translation Along the Trajectories of Differential Equations
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