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  • The paper provides an existence principle for the Sturm--Liouville boundary value problem with state-dependent impulses z''(t) = f(t,z(t),z'(t)) for a.e. t in [0,T] z(0) - az'(0) = c_1, z(T) + bz'(T) = c_2, z(tau_i+) - z(tau_i) = J_i(tau_i,z(tau_i)), z'(tau_i+) - z'(tau_i-) = M_i(tau_i,z(tau_i)), where the points tau_1, ..., tau_p depend on z through the equations tau_ = gamma(tau_i)), i = 1,...,p, p in N. Provided a, b in [0,infty), c_j in R, j = 1,2, and the data functions f, J_i, M_i, i=1,...,p, are bounded, transversality conditions for barriers gamma_i, i = 1,...,p, which yield the solvability of the problem, are delivered. An application to the problem with unbounded data functions is demonstrated.
  • The paper provides an existence principle for the Sturm--Liouville boundary value problem with state-dependent impulses z''(t) = f(t,z(t),z'(t)) for a.e. t in [0,T] z(0) - az'(0) = c_1, z(T) + bz'(T) = c_2, z(tau_i+) - z(tau_i) = J_i(tau_i,z(tau_i)), z'(tau_i+) - z'(tau_i-) = M_i(tau_i,z(tau_i)), where the points tau_1, ..., tau_p depend on z through the equations tau_ = gamma(tau_i)), i = 1,...,p, p in N. Provided a, b in [0,infty), c_j in R, j = 1,2, and the data functions f, J_i, M_i, i=1,...,p, are bounded, transversality conditions for barriers gamma_i, i = 1,...,p, which yield the solvability of the problem, are delivered. An application to the problem with unbounded data functions is demonstrated. (en)
Title
  • Existence principle for BVPs with state-dependent impulses
  • Existence principle for BVPs with state-dependent impulses (en)
skos:prefLabel
  • Existence principle for BVPs with state-dependent impulses
  • Existence principle for BVPs with state-dependent impulses (en)
skos:notation
  • RIV/61989592:15310/14:33153593!RIV15-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S
http://linked.open...iv/cisloPeriodika
  • 2
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
  • 15706
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/14:33153593
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • transversality conditions.; second order ODE; Sturm-Liouville problem; state-dependent impulses; Impulsive differential equation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [5B58F8D53C0F]
http://linked.open...i/riv/nazevZdroje
  • Topological Methods in Nonlinear Analysis
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 44
http://linked.open...iv/tvurceVysledku
  • Rachůnková, Irena
  • Tomeček, Jan
http://linked.open...ain/vavai/riv/wos
  • 000348243000003
issn
  • 1230-3429
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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