On Two-point Boundary Value Problems for Second Order Singular Functional Differential Equations
Result description
For the functional differential equations u(t)= f(u)(t) with the continuous operator f from C1loc(]a,b[)to L1loc(]a,b[)the unimprovable, in a certain sense, sufficient conditions for the solvability and unique solvability of the two-point boundary valueproblems u(a+)=0=u(b-) and u(a+)=0=u(b-) are established. These condition cover the case when for an arbitrary u the function f(u) is not integrable on [a,b], having singularities at the points a and b.
Keywords
second order singular functional differential equationstwo-point boundary value problemsunique solvabilitystability
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/67985840:_____/05:00026824
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On Two-point Boundary Value Problems for Second Order Singular Functional Differential Equations
Original language description
For the functional differential equations u(t)= f(u)(t) with the continuous operator f from C1loc(]a,b[)to L1loc(]a,b[)the unimprovable, in a certain sense, sufficient conditions for the solvability and unique solvability of the two-point boundary valueproblems u(a+)=0=u(b-) and u(a+)=0=u(b-) are established. These condition cover the case when for an arbitrary u the function f(u) is not integrable on [a,b], having singularities at the points a and b.
Czech name
O 2-bodových okrajových úlohách pro singulární diferenciální rovnici druhého řádu
Czech description
Pro funkcionální diferenciální rovnici u(t)= f(u)(t) se spojitým operátorem f z C1loc(]a,b[)do L1loc(]a,b[) jsou odvozeny v jistém smyslu nezlepšitelné postačující podmínky existence a jednoznačné existence řešení 2-bodových okrajových úloh u(a+)=0=u(b-)a u(a+)=0=u(b-). Podmínky obsahují i případy, kdy pro nějaká u není funkce f(u) integrabilní na [a,b], přesněji, kdy má singularity v bodech a a b.
Classification
Type
Jx - 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
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Functional Differential Equations
ISSN
0793 - 1786
e-ISSN
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Volume of the periodical
12/2005
Issue of the periodical within the volume
3-4
Country of publishing house
IL - THE STATE OF ISRAEL
Number of pages
24
Pages from-to
271-294
UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2005