Geodesic
Nonlocal solvability conditions for Cauchy problem for a~system of first order partial differential equations with special right-hand sides
Ufa mathematical journal, Tome 6 (2014) no. 4, pp. 68-80

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We consider a Cauchy problem for a system of two quasilinear first order partial differential equations with special right-hand sides. We obtain the conditions of a nonlocal solvability of this Cauchy problem. The study of the nonlocal solvability of the Cauchy problem for a system of two quasilinear differential equations with special right-hand sides is based on the method of an additional argument. The proof of the nonlocal resolvability of the Cauchy problem for a system of two quasilinear first order partial differential equations with special right-hand sides relies on global estimates.
Keywords: first order partial differential equations, Cauchy problem, the method of an additional argument. 
@article{UFA_2014_6_4_a5,
     author = {M. V. Dontsova},
     title = {Nonlocal solvability conditions for {Cauchy} problem for a~system of first order partial differential equations with special right-hand sides},
     journal = {Ufa mathematical journal},
     pages = {68--80},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2014_6_4_a5/}
}
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M. V. Dontsova. Nonlocal solvability conditions for Cauchy problem for a~system of first order partial differential equations with special right-hand sides. Ufa mathematical journal, Tome 6 (2014) no. 4, pp. 68-80. http://geodesic.mathdoc.fr/item/UFA_2014_6_4_a5/