Application of the method of averaging to boundary value problems for differential equations with non-fixed moments of impulse

  • O.M. Stanzhytskyi Taras Shevchenko National University, 64/13 Volodymyrska str., 01601, Kyiv, Ukraine
  • R.E. Uteshova International Information Technology University, 34/1 Manas str., 050040, Almaty, Kazakhstan
  • M. Mukash K. Zhubanov Aktobe Regional University, 34 A. Moldagulova ave., 030000, Aktobe, Kazakhstan
  • V.V. Mogylova National Technical University of Ukraine ''Igor Sikorsky Kyiv Polytechnic Institute'', 37 Peremohy ave., 03056, Kyiv, Ukraine
Keywords: small parameter, averaging method, fixed point, impulse action, boundary value problem
Published online: 2022-07-26

Abstract


The method of averaging is applied to study the existence of solutions of boundary value problems for systems of differential equations with non-fixed moments of impulse action. It is shown that if an averaged boundary value problem has a solution, then the original problem is solvable as well. Here the averaged problem for the impulsive system is a simpler problem of ordinary differential equations.

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How to Cite
(1)
Stanzhytskyi O., Uteshova R., Mukash M., Mogylova V. Application of the Method of Averaging to Boundary Value Problems for Differential Equations With Non-Fixed Moments of Impulse. Carpathian Math. Publ. 2022, 14 (2), 304-326.