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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 7, Pages 10–17 (Mi ivm9129)  
This article is cited in 1 scientific paper (total in 1 paper)

On the solvability of nonlinear partial differential equations of high order with deviating argument in lowest terms

O. I. Bzheumikhova, V. N. Lesev

Kabardino-Balkarian State University, 173 Chernyshevskii str., Nalchik, 360004 Russia
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Abstract: We prove the existence of a solution to higher order partial differential equation with discrete deviation of the argument in lowest terms. The proof is carried out by the method of separation of variables. We also investigate the boundary-value problem for a particular case of the corresponding fourth order nonlinear equation.
Keywords: partial differential equation, deviating argument, Fourier method, boundary-value problem, method of asymptotic expansions.
Received: 18.12.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 7, Pages 7–13
DOI: https://doi.org/10.3103/S1066369X16070021
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: O. I. Bzheumikhova, V. N. Lesev, “On the solvability of nonlinear partial differential equations of high order with deviating argument in lowest terms”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 7, 10–17; Russian Math. (Iz. VUZ), 60:7 (2016), 7–13
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:20
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