Geodesic
Special solutions of matrix Gellerstedt equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 108-112

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Fundamental solutions for the Gellerstedt equation and its generalization were obtained in the distribution space using the method applied by I. M. Gelfand and J. Barros-Neto to the studying the Tricomi equation. The degenerating system of the mixed-type partial differential equations was considered, its special solutions were constructed in the regions bounded by the characteristics of these equations (in the hyperbolic half-plane). The elements of the theory of matrices, theory of the generalized functions and the special functions (hypergeometric series) were used for this construction.
Keywords: fundamental solution, generalized functions, matrix functions. 
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     author = {E. A. Kozlova},
     title = {Special solutions of matrix {Gellerstedt} equation},
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E. A. Kozlova. Special solutions of matrix Gellerstedt equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 108-112. http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a13/