Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay
We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem. We prove a theorem on the global convergence of successive approximations to a unique solu...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2014-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3420.pdf |
| _version_ | 1818162776246321152 |
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| author | Tomasz Człapiński |
| author_facet | Tomasz Człapiński |
| author_sort | Tomasz Człapiński |
| collection | DOAJ |
| description | We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem. We prove a theorem on the global convergence of successive approximations to a unique solution of the Darboux problem. |
| first_indexed | 2024-12-11T16:39:02Z |
| format | Article |
| id | doaj.art-33a2c08a3c04451b832f0cb8cb97ff4d |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-11T16:39:02Z |
| publishDate | 2014-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-33a2c08a3c04451b832f0cb8cb97ff4d2022-12-22T00:58:22ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742014-01-01342327338http://dx.doi.org/10.7494/OpMath.2014.34.2.3273420Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delayTomasz Człapiński0University of Gdansk, Institute of Mathematics, Wita Stwosza 57, 80-952 Gdansk, PolandWe consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem. We prove a theorem on the global convergence of successive approximations to a unique solution of the Darboux problem.http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3420.pdfsuccessive approximationsDarboux probleminfinite delay |
| spellingShingle | Tomasz Człapiński Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay Opuscula Mathematica successive approximations Darboux problem infinite delay |
| title | Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay |
| title_full | Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay |
| title_fullStr | Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay |
| title_full_unstemmed | Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay |
| title_short | Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay |
| title_sort | global convergence of successive approximations of the darboux problem for partial functional differential equations with infinite delay |
| topic | successive approximations Darboux problem infinite delay |
| url | http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3420.pdf |
| work_keys_str_mv | AT tomaszczłapinski globalconvergenceofsuccessiveapproximationsofthedarbouxproblemforpartialfunctionaldifferentialequationswithinfinitedelay |