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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 9, Pages 1703–1711 (Mi zvmmf9545)  
This article is cited in 22 scientific papers (total in 22 papers)

Mixed value problem for a nonlinear differential equation of fourth order with small parameter on the parabolic operator

T. K. Yuldashev

Law academy, Salieva–40B, Osh city, Kyrgyzstan, 714000 Russia
Full-text PDF (546 kB) Citations (22)
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Abstract: We study the solvability of mixed value problem for one type of nonlinear partial differential equation, consisting superposition of parabolic and hyperbolic operators. By the method of separation variables we obtain the countable system of nonlinear integral equation. We use the method of successive approximations. It will be proved the convergence of obtained series. We study the continuously dependence of solution from small parameter.
Key words: mixed value problem, differential equation of the fourth order, superposition of parabolic and hyperbolic operators, method of separation variables, method of successive approximations, convergence Fourier series, continuousness with respect to small parameter.
Received: 16.03.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 9, Pages 1596–1604
DOI: https://doi.org/10.1134/S0965542511090181
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: T. K. Yuldashev, “Mixed value problem for a nonlinear differential equation of fourth order with small parameter on the parabolic operator”, Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011), 1703–1711; Comput. Math. Math. Phys., 51:9 (2011), 1596–1604
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:68
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