Geodesic
Tricomi problem for nonlinear equation of mixed type with functional retarding, advancing and concentrated deviation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2017), pp. 20-29

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We investigate the problem for nonlinear mixed-type equation with the Lavrent'ev–Bitsadze operation in the main part and the functional delay and advancing in the lowest terms. We construct the general solution to the equation. The problem is uniquely solvable.
Keywords: mixed-type equation, Riemann's function, integral equations, formulas of mutual treatment, difference equation. 
@article{IVM_2017_11_a2,
     author = {A. N. Zarubin},
     title = {Tricomi problem for nonlinear equation of mixed type with functional retarding, advancing and concentrated deviation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {20--29},
     publisher = {mathdoc},
     number = {11},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_11_a2/}
}
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A. N. Zarubin. Tricomi problem for nonlinear equation of mixed type with functional retarding, advancing and concentrated deviation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2017), pp. 20-29. http://geodesic.mathdoc.fr/item/IVM_2017_11_a2/