Emphatic convergence and sequential solutions of generalized linear differential equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00369691" target="_blank" >RIV/67985840:_____/11:00369691 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Emphatic convergence and sequential solutions of generalized linear differential equations
Original language description
This contribution deals with continuous dependence generalized linear differential equations in Banach space on a parameter. The authors continue in the previous research by M. Tvrdý and G. Monteiro, where the assumption of the uniform convergence of thekernels of the equations was the basic assumption. The contribution deals with the case when thise assumption is violated. Furthermore, a notion of asequential solution to generalized linear differential equations is introduced and Theorems on the existence and uniqueness of sequential solutions are proved and a comparison of solutions and sequential solutions is given, as well. The convergence effects occurring in this paper are, in some sense, very close to those described by Kurzweil and called by him emphatic convergence.
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
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Memoirs on Differential Equations and Mathematical Physics
ISSN
1512-0015
e-ISSN
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Volume of the periodical
54
Issue of the periodical within the volume
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Country of publishing house
GE - GEORGIA
Number of pages
23
Pages from-to
27-49
UT code for WoS article
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EID of the result in the Scopus database
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