Darboux-Type Problems for a Third-Order Hyperbolic Equationwith Two Independent Variables

Sufficient conditions for the unique solvability of problems for a third-order hyperbolic equation with conditions on the characteristic and noncharacteristic lines are obtained. Solutions to the problems are constructed in terms of a function analogous to the Riemann–Hadamard function.

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Publication Details

Journal
Differential Equations
Published
2025-10-01
DOI
https://doi.org/10.1134/s0012266125100052
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

Darboux-Type Problems for a Third-Order Hyperbolic Equationwith Two Independent Variables

A. N. Mironov, L. B. Mironova
Differential Equations
Differential Equations and Boundary Problems
article

Darboux-Type Problems for a Third-Order Hyperbolic Equationwith Two Independent Variables

A. N. Mironov, L. B. Mironova
article en

Abstract

Sufficient conditions for the unique solvability of problems for a third-order hyperbolic equation with conditions on the characteristic and noncharacteristic lines are obtained. Solutions to the problems are constructed in terms of a function analogous to the Riemann–Hadamard function.

Differential EquationsVol. 61(10)
Kazan Federal University (RU), Samara State Technical University (RU)
Openalex Percentile: Top 17%
Differential Equations and Boundary Problems
DOISourceOpenAlex
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Darboux-Type Problems for a Third-Order Hyperbolic Equationwith Two Independent Variables — A. N. Mironov, L. B. Mironova · Differential Equations (2025) | TGRS Research Map | TGRS