A method for solution of a mixed boundary value problem for a hyperbolic type equation using the operators $\mathbb{AT}_{\lambda,j}$

DOI10.4213/im9353eOpenAlexW4390107258MaRDI QIDQ6184508

A. Yu. Trynin

Publication date: 25 January 2024

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/im9353

zbMATH Keywords

boundary value problemgeneralized solutionmethod of separation of variables

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Weak solutions to PDEs (35D30)

Cites Work

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• Asymptotic behavior of the solutions and nodal points of Sturm-Liouville differential expressions
• Construction of monotone difference schemes for systems of hyperbolic equations
• Boundary-value problems for a hyperbolic equation with nonlocal conditions of the I and II kind
• On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations
• Initial-boundary problem for parabolic-hyperbolic equation with loaded summands
• DIVERGENT ORTHOGONAL FOURIER SERIES
• Construction of difference schemes with positive approximation for hyperbolic equations
• TRIGONOMETRIC FOURIER SERIES OF CONTINUOUS FUNCTIONS DIVERGING ON A GIVEN SET
• Трeхмерная интегро-многоточечная краевая задача для нагруженных вольтерро-гиперболических интегро-дифференциальных уравнений типа Бианки
• Краевая задача для гиперболического уравнения третьего порядка с вырождением порядка внутри области
• A BOUNDARY VALUE PROBLEM WITH DISPLACEMENT FOR A MODEL EQUATION OF A PARABOLIC-HYPERBOLIC TYPE OF THE THIRD ORDER
• INITIAL-BOUNDARY VALUE PROBLEM FOR HYPERBOLIC EQUATIONS WITH AN ARBITRARY ORDER ELLIPTIC OPERATOR
• Вторая начально-краевая задача с интегральным смещением для гиперболических и параболических уравнений второго порядка
• Boundary value problem with a displacement for a hyperbolic equation of third order with a derivative under boundary conditions
• Краевая задача для нагруженного уравнения смешанного параболо-гиперболического типа в прямоугольной области
• A generalization of the Whittaker-Kotel'nikov-Shannon sampling theorem for continuous functions on a closed interval
• A boundary-value problem for a first-order hyperbolic system in a two-dimensional domain
• Finite-difference schemes for solving multidimensional hyperbolic equations and their systems
• Monotonicity criteria for difference schemes designed for hyperbolic equations

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