Existence principle for BVPs with state-dependent impulses
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33153593" target="_blank" >RIV/61989592:15310/14:33153593 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Existence principle for BVPs with state-dependent impulses
Original language description
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, arebounded, 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.
Czech name
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Czech description
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Classification
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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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Topological Methods in Nonlinear Analysis
ISSN
1230-3429
e-ISSN
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Volume of the periodical
44
Issue of the periodical within the volume
2
Country of publishing house
PL - POLAND
Number of pages
19
Pages from-to
349-368
UT code for WoS article
000348243000003
EID of the result in the Scopus database
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