INITIAL-BOUNDARY VALUE PROBLEM FOR HYPERBOLIC EQUATIONS WITH AN ARBITRARY ORDER ELLIPTIC OPERATOR

DOI10.26117/2079-6641-2020-30-1-8-19zbMath1474.35220OpenAlexW4206755064MaRDI QIDQ4963771

A. T. Mukhiddinova, Ravshan Ashurov

Publication date: 23 February 2021

Published in: Вестник КРАУНЦ. Физико-математические науки (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vkam388

zbMATH Keywords

stabilityexistenceuniquenessgeneralized solutioninitial-boundary value problemsclassical solutionhyperbolic equationFourier method

Mathematics Subject Classification ID

Boundary value problems for linear higher-order PDEs (35G15) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items (7)

Boundary value problem for a mixed-type equation with a higher order elliptic operator ⋮ Об одной краевой задаче для уравнения четвертого порядка в частных производных ⋮ An initial boundary value problem for a partial differential equation of higher even order with a Bessel operator ⋮ Nonlocal boundary value problem for a fourth order differential equation ⋮ On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators ⋮ The uniqueness criterion for a solution to a boundary value problem for the operator \(\frac{\partial^{2p}}{\partial t^{2p}}-a\) with an elliptic operator \(a\) of arbitrary order ⋮ A method for solution of a mixed boundary value problem for a hyperbolic type equation using the operators $\mathbb{AT}_{\lambda,j}$

Cites Work

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• Cauchy problem for the beam vibration equation
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Колебания балки с заделанными концами
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
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