Mixed problem with an integral condition for the one-dimensional biwave equation

DOI10.1134/S0012266118060083zbMath1397.35146WikidataQ115250712 ScholiaQ115250712MaRDI QIDQ1785021

N. V. Vinh, V. I. Korzyuk

Publication date: 27 September 2018

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

analytic representation of the solution

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Solutions to PDEs in closed form (35C05) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Cites Work

• Classical solution of a problem with an integral condition for the one-dimensional wave equation
• Nonlocal problem with a first-kind integral condition for a multidimensional hyperbolic equation
• Solution of the Cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variables
• A mixed problem with an integral condition for a hyperbolic equation.
• Initial-boundary value problem with a nonlocal boundary condition for a multidimensional hyperbolic equation
• A nonlocal problem with integral conditions for a hyperbolic equation
• Boundary value problems with integral conditions for multidimensional hyperbolic equations
• Cauchy problem for some fourth-order nonstrictly hyperbolic equations
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