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Article · Uzbek Mathematical Journal · November 3, 2025

An initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order

K. T. Karimov, Dastonbek D. Oripov

Dastonbek Oripov
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Abstract

In this paper, an initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order in a rectangle is formulated and investigated. The method of energy integrals is used to prove the uniqueness of the solution to the problem, and using spectral analysis methods and the Green function, the solution to the considered problem is constructed as the sum of a Fourier series.

Differential Equations and Boundary ProblemsStability and Controllability of Differential EquationsNonlinear Differential Equations Analysisinitial-boundary value problemnonlocal conditionsdegenerate partial differential equations

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