Geodesic
Delta-problems for the generalized Euler--Darboux equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 3, pp. 417-422

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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.
Keywords: generalized Euler–Darboux equation, boundary value problem. 
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     title = {Delta-problems for the generalized {Euler--Darboux} equation},
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I. N. Rodionova; V. M. Dolgopolov; M. V. Dolgopolov. Delta-problems for the generalized Euler--Darboux equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 3, pp. 417-422. http://geodesic.mathdoc.fr/item/VSGTU_2017_21_3_a1/