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  • The paper deals with the impulsive nonlinear boundary value problem u''(t) = f(t; u(t); u'(t)) for a. e. t in [0; T]; u(t_j+) = J_j(u(t_j)); u'(t_j+) = M_j(u'(t_j)); j = 1,...,m; g1(u(0), u(T)) = 0; g2(u'(0), u'(T)) = 0; where f in Car([0; T] x R^2), g_1, g_2 in C(R^2), J_j , M_j in C(R). An existence theorem is proved for non-ordered lower and upper functions. Proofs are based on the Leray-Schauder degree and on the method of a priori esti- mates.
  • The paper deals with the impulsive nonlinear boundary value problem u''(t) = f(t; u(t); u'(t)) for a. e. t in [0; T]; u(t_j+) = J_j(u(t_j)); u'(t_j+) = M_j(u'(t_j)); j = 1,...,m; g1(u(0), u(T)) = 0; g2(u'(0), u'(T)) = 0; where f in Car([0; T] x R^2), g_1, g_2 in C(R^2), J_j , M_j in C(R). An existence theorem is proved for non-ordered lower and upper functions. Proofs are based on the Leray-Schauder degree and on the method of a priori esti- mates. (en)
Title
  • Nonlinear boundary value problem for nonlinear second order differential equations with impulses
  • Nonlinear boundary value problem for nonlinear second order differential equations with impulses (en)
skos:prefLabel
  • Nonlinear boundary value problem for nonlinear second order differential equations with impulses
  • Nonlinear boundary value problem for nonlinear second order differential equations with impulses (en)
skos:notation
  • RIV/61989592:15310/05:00010060!RIV10-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 10
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 533003
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/05:00010060
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Ordinary differential equation of the second order; well-ordered lower and upper functions; non-ordered lower and upper functions; nonlinear boundary value conditions; impulses. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • HU - Maďarsko
http://linked.open...ontrolniKodProRIV
  • [4FB4DE763067]
http://linked.open...i/riv/nazevZdroje
  • Electronic Journal of Qualitative Theory of Differential Equations
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 10
http://linked.open...iv/tvurceVysledku
  • Tomeček, Jan
http://linked.open...n/vavai/riv/zamer
issn
  • 1417-3875
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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