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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017 Volume 140, Pages 43–49 (Mi into233)
This article is cited in 10 papers

On a problem for a quasi-linear equation of even order

A. V. Yuldasheva

National University of Uzbekistan named after M. Ulugbek, Tashkent

Abstract: We study a boundary-value problem for a quasi-linear equation of even order with periodic boundary conditions. We prove the existence and uniqueness of a weak generalized solution.

Keywords: boundary-value problem, quasi-linear equation, Fourier method, Banach space, weak generalized solution, test function.

UDC: 517.929.7, 517.954

MSC: 35K55, 35K70


 English version: Journal of Mathematical Sciences (New York), 2019, 241:4, 423–429

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© Steklov Math. Inst. of RAS, 2025