Second order BVPs with state-dependent impulses via lower and upper functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33144739" target="_blank" >RIV/61989592:15310/14:33144739 - isvavai.cz</a>
Result on the web
<a href="http://download.springer.com/static/pdf/865/art%253A10.2478%252Fs11533-013-0324-7.pdf?auth66=1385501544_6dd829517316ef025965655e986c2377&ext=.pdf" target="_blank" >http://download.springer.com/static/pdf/865/art%253A10.2478%252Fs11533-013-0324-7.pdf?auth66=1385501544_6dd829517316ef025965655e986c2377&ext=.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2478/s11533-013-0324-7" target="_blank" >10.2478/s11533-013-0324-7</a>

Result language
angličtina
Original language name
Second order BVPs with state-dependent impulses via lower and upper functions
Original language description
The paper deals with the following second order Dirichlet boundary value problem with p in N state-dependent impulses: z''(t) = f (t,z(t)) for a.e. t in [0, T], z(0) = z(T) = 0, z'(tau_i+) - z'(tau_i-) = I_i(tau_i, z(tau_i)), where tau_i = gamma_i(z(tau_i)), i = 1,...,p. Solvability of this problem is proved under the assumption that there exists a well-ordered couple of lower and upper functions to the corresponding Dirichlet problem without impulses.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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