Geodesic
One characteristic problem for the general hyperbolic differential equation of the third order with nonmultiple characteristics
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2012), pp. 180-183

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In the paper we consider the well-posed characteristic problem for the general hyperbolic differential equation of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The illustrative example of the Hadamard ill-posedness of the Goursat problem for the hyperbolic differential equation of the third order with nonmultiple characteristics is given.
Keywords: hyperbolic differential equation of the third order, nonmultiple characteristics, characteristic problem, Hadamard well-posedness. 
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     author = {J. O. Yakovleva},
     title = {One characteristic problem for the general hyperbolic differential equation of the third order with nonmultiple characteristics},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {180--183},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_3_a17/}
}
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J. O. Yakovleva. One characteristic problem for the general hyperbolic differential equation of the third order with nonmultiple characteristics. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2012), pp. 180-183. http://geodesic.mathdoc.fr/item/VSGTU_2012_3_a17/