Geodesic
Cauchy problem for some fourth-order nonstrictly hyperbolic equations
Nanosistemy: fizika, himiâ, matematika, Tome 7 (2016) no. 5, pp. 869-879

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We describe the analytic solution of the Cauchy problem for some fourth-order linear hyperbolic equations with constant coefficients in a half- plane in the case of two independent variables, assuming certain conditions for the coefficients. Suitable conditions are assumed for the coefficients, and the equation operator is composed of first-order linear operators.
Keywords: Cauchy problem, analytic solution, fourth-order hyperbolic equations, nonstrictly hyperbolic equations. 
@article{NANO_2016_7_5_a8,
     author = {V. I. Korzyuk and N. V. Vinh},
     title = {Cauchy problem for some fourth-order nonstrictly hyperbolic equations},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {869--879},
     publisher = {mathdoc},
     volume = {7},
     number = {5},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2016_7_5_a8/}
}
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V. I. Korzyuk; N. V. Vinh. Cauchy problem for some fourth-order nonstrictly hyperbolic equations. Nanosistemy: fizika, himiâ, matematika, Tome 7 (2016) no. 5, pp. 869-879. http://geodesic.mathdoc.fr/item/NANO_2016_7_5_a8/