Geodesic
The analogue of D'Alembert formula for hyperbolic differential equation of the third order with nonmultiple characteristics
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 247-250

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The Cauchy problem for the third order hyperbolic differential equation with nonmultiple characteristics is considered. The analogue of D'Alembert formula is obtained as a solution that allows describing the propagation of initial displacement, initial velocity and initial acceleration.
Keywords: hyperbolic differential equation of the third order, nonmultiple characteristics, Cauchy problem
Mots-clés : D'Alembert formula. 
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     author = {J. O. Yakovleva},
     title = {The analogue of {D'Alembert} formula for hyperbolic differential equation of the third order with nonmultiple characteristics},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {247--250},
     publisher = {mathdoc},
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     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_1_a26/}
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J. O. Yakovleva. The analogue of D'Alembert formula for hyperbolic differential equation of the third order with nonmultiple characteristics. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 247-250. http://geodesic.mathdoc.fr/item/VSGTU_2012_1_a26/