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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 7, Pages 10–17
(Mi ivm9129)
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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
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
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
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https://www.mathnet.ru/eng/ivm9129 https://www.mathnet.ru/eng/ivm/y2016/i7/p10
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Abstract page: | 126 | Full-text PDF : | 44 | References: | 20 | First page: | 8 |
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