A constructive approach to boundary value problems with state-dependent impulses
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00452566" target="_blank" >RIV/67985840:_____/16:00452566 - isvavai.cz</a>
Alternative codes found
RIV/61989592:15310/16:33155618
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2015.11.033" target="_blank" >http://dx.doi.org/10.1016/j.amc.2015.11.033</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2015.11.033" target="_blank" >10.1016/j.amc.2015.11.033</a>
Alternative languages
Result language
angličtina
Original language name
A constructive approach to boundary value problems with state-dependent impulses
Original language description
We investigate the non-linear system of ordinary differential equations ... subject to the state-dependent impulse condition ... and the linear two-point boundary condition ... . Here, ... are given continuous vector-functions, g is a continuous scalar function, A, C are constant matrices, and d is a constant vector. The instants of time t where the jump occurs are determined by the equation ... and, thus, are unknown a priori and essentially depend on the solution u. We discuss a reduction technique allowing one to combine the analysis of existence of solutions with an efficient construction of approximate solutions. At present, according to the authors’ knowledge, no numerical results for boundary value problems with state-dependent impulses are available in the literature.
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
<a href="/en/project/GA14-06958S" target="_blank" >GA14-06958S: Singularities and impulses in boundary value problems for nonlinear ordinary differential equations</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics and Computation
ISSN
0096-3003
e-ISSN
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Volume of the periodical
274
Issue of the periodical within the volume
February
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
726-744
UT code for WoS article
000367521900064
EID of the result in the Scopus database
2-s2.0-84949457017