Continuous dependence of solutions of abstract generalized linear differential equations with potential converging uniformly with a weight

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00427479" target="_blank" >RIV/67985840:_____/14:00427479 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1186/1687-2770-2014-71" target="_blank" >http://dx.doi.org/10.1186/1687-2770-2014-71</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/1687-2770-2014-71" target="_blank" >10.1186/1687-2770-2014-71</a>

Result language
angličtina
Original language name
Continuous dependence of solutions of abstract generalized linear differential equations with potential converging uniformly with a weight
Original language description
In this paper we continue our research on continuous dependence on a parameter of solutions to generalized linear differential equations. These equations are described by linear integral equations containing the abstract Kurzweil-Stieltjes integral. In particular, we are interested in the situation when the kernels of these equations need not have uniformly bounded variations. Our main goal is the extension of our previous results to the nonhomogeneous case. Applications to second order systems and to dynamic equations on time scales are included as well.
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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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

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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