Boundary criterion for integral operators
Integral operators of the form for the case of a finite domain Ω ⊂ R n with smooth boundary ∂Ω are considered. Conditions on the real kernel K ( x , t ) of an integral operator under which this operator satisfies a well-defined boundary condition for the corresponding differential equation are found...
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| Veröffentlicht in: | Doklady. Mathematics 2016, Vol.93 (1), p.58-61 |
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| container_title | Doklady. Mathematics |
| container_volume | 93 |
| creator | Kal’menov, T. Sh Otelbaev, M. |
| description | Integral operators of the form
for the case of a finite domain Ω ⊂
R
n
with smooth boundary ∂Ω are considered. Conditions on the real kernel
K
(
x
,
t
) of an integral operator under which this operator satisfies a well-defined boundary condition for the corresponding differential equation are found. The application of the results is demonstrated on the example of a Sturm–Liouville equation, for which the derivation of the general form of well-posed boundary value problems is presented. |
| doi_str_mv | 10.1134/S1064562416010208 |
| format | Article |
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for the case of a finite domain Ω ⊂
R
n
with smooth boundary ∂Ω are considered. Conditions on the real kernel
K
(
x
,
t
) of an integral operator under which this operator satisfies a well-defined boundary condition for the corresponding differential equation are found. The application of the results is demonstrated on the example of a Sturm–Liouville equation, for which the derivation of the general form of well-posed boundary value problems is presented.</description><identifier>ISSN: 1064-5624</identifier><identifier>EISSN: 1531-8362</identifier><identifier>DOI: 10.1134/S1064562416010208</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Mathematics ; Mathematics and Statistics</subject><ispartof>Doklady. Mathematics, 2016, Vol.93 (1), p.58-61</ispartof><rights>Pleiades Publishing, Ltd. 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c288t-19cbbe536ff426d339de520359cabd61bb145c5aa0245ca45a28de41f3245e553</citedby><cites>FETCH-LOGICAL-c288t-19cbbe536ff426d339de520359cabd61bb145c5aa0245ca45a28de41f3245e553</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S1064562416010208$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1064562416010208$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Kal’menov, T. Sh</creatorcontrib><creatorcontrib>Otelbaev, M.</creatorcontrib><title>Boundary criterion for integral operators</title><title>Doklady. Mathematics</title><addtitle>Dokl. Math</addtitle><description>Integral operators of the form
for the case of a finite domain Ω ⊂
R
n
with smooth boundary ∂Ω are considered. Conditions on the real kernel
K
(
x
,
t
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R
n
with smooth boundary ∂Ω are considered. Conditions on the real kernel
K
(
x
,
t
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| identifier | ISSN: 1064-5624 |
| ispartof | Doklady. Mathematics, 2016, Vol.93 (1), p.58-61 |
| issn | 1064-5624 1531-8362 |
| language | eng |
| recordid | cdi_crossref_primary_10_1134_S1064562416010208 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Mathematics Mathematics and Statistics |
| title | Boundary criterion for integral operators |
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