Delta-problems for the generalized Euler-Darboux equation


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Abstract

Degenerate hyperbolic equations are dealing with many important issues for applied nature. While a variety of degenerate equations and boundary conditions, successfully matched to these differential equation, most in the characteristic coordinates reduced to Euler-Darboux one. Some boundary value problems, in particular Cauchy problem, for the specified equation demanded the introduction of special classes in which formulae are simple and can be used to meet the new challenges, including Delta-problems in squares that contain singularity line for equation coefficients with data on adjacent or parallel sides of the square. In this short communication the generalized Euler-Darboux equation with negative parameters in the rectangular region is considered.

About the authors

Irina N Rodionova

Samara National Research University

Cand. Phys. & Math. Sci.; Associate Professor; Dept. of Mathematics & Business Informatics 34, Moskovskoye shosse, Samara, 443086, Russian Federation

Vyacheslav M Dolgopolov

Samara National Research University

Email: paskal1940@mail.ru
Cand. Phys. & Math. Sci.; Associate Professor; Lab. of Mathematical Physics 34, Moskovskoye shosse, Samara, 443086, Russian Federation

Mikhail V Dolgopolov

Samara National Research University

Email: volopoglodahsim@mail.ru
Cand. Phys. & Math. Sci.; Associate Professor; Dept. of General and Theoretical Physics; Head of Laboratory; Lab. of Mathematical Physics 34, Moskovskoye shosse, Samara, 443086, Russian Federation

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