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  • Singulyarnye integral'nye uravneniya so slozhnoy osobennost'yu v yadre: teoriya, algoritmy i prilozheniya
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Singulyarnye integral'nye uravneniya so slozhnoy osobennost'yu v yadre: teoriya, algoritmy i prilozheniya Paperback – Dec 27 2011


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Singulyarnye integral'nye uravneniya vstrechayutsya vo mnogikh razdelakh matematicheskoy fiziki, eto sposobstvuet i razvitiyu teorii, i poisku effektivnykh algoritmov ikh chislennogo resheniya. V knige rassmatrivayutsya singulyarnye integral'nye uravneniya, yadra kotorykh imeyut osobennosti logarifmicheskogo ili stepennogo tipa, a takzhe odnovremenno slabye i sil'nye osobennosti v razlichnykh sochetaniyakh. Sushchestvenno ispol'zuetsya svyaz' mezhdu resheniyami takikh singulyarnykh uravneniy i resheniyami integral'nykh uravneniy s yadrom Koshi. Eta svyaz' zadaetsya, kak pravilo, takzhe v forme integral'nogo uravneniya. Novye klassy uravneniy so slozhnoy osobennost'yu v yadre polucheny v sluchae, kogda porozhdayushchee uravnenie yavlyaetsya integral'nym uravneniem Vol'terra s vyrozhdennym yadrom. Obsuzhdayutsya nekotorye prostye algoritmy chislennogo resheniya singulyarnykh integral'nykh uravneniy, osnovannye na global'nom vydelenii osobennostey iz singulyarnogo integrala. Rassmotren ryad zadach ploskoy kontaktnoy teorii uprugosti i nekotorye granichnye zadachi dlya uprugikh tel s defektami. Dlya studentov, aspirantov i nauchnykh rabotnikov, interesuyushchikhsya teoriey singulyarnykh integral'nykh uravneniy, algoritmami ikh chislennogo resheniya i prilozheniyami.

Product details

  • Publisher ‏ : ‎ LAP LAMBERT Academic Publishing
  • Publication date ‏ : ‎ Dec 27 2011
  • Language ‏ : ‎ Russian
  • Print length ‏ : ‎ 168 pages
  • ISBN-10 ‏ : ‎ 384730898X
  • ISBN-13 ‏ : ‎ 978-3847308980
  • Item weight ‏ : ‎ 268 g
  • Dimensions ‏ : ‎ 15.01 x 0.97 x 22 cm

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