Geodesic
On the solvability of nonlinear partial differential equations of high order with deviating argument in lowest terms
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2016), pp. 10-17.

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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. 
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O. I. Bzheumikhova; V. N. Lesev. On the solvability of nonlinear partial differential equations of high order with deviating argument in lowest terms. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2016), pp. 10-17. http://geodesic.mathdoc.fr/item/IVM_2016_7_a1/

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