This monograph is an introduction to the theory of ordinary differential equations with jump conditions at discrete moments of time.

From the contents:

  • Pulse differential equations and inclusions
  • Linear systems with multivalued trajectories
  • Method of averaging in systems with pulse action
  • Averaging of differential inclusions
  • Differential equations with discontinuous right-hand side


Nikolai A. Perestyuk, Shevchenko Kiev National University, Ukraine; Viktor A. Plotnikov †; Anatolii M. Samoilenko, National Academy of Sciences of Ukraine, Kiev, Ukraine; Nataliya V. Skripnik, Mechnikov Odessa National University, Ukraine.

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Differential Equations with Impulse Effects Perestyuk, Nikolai A., Plotnikov, Viktor A., Samoilenko, Anatolii M., Skripnik, Natalia V.

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