Geodesic
Representation of solutions to equations of hyperbolic type
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2010), pp. 62-66

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The general solutions to hyperbolic equations of the fourth and sixth orders are obtained using Vekua's method for the representation of the general solutions to elliptic equations of order $2n$ with the aid of $n$ analytic functions. It is assumed that the right-hand sides of the hyperbolic equations can be expanded in time series of sines. The systems of equations of various approximations for a prismatic thin body in terms of moments with respect to a system of Legendre polynomials can be reduced to these equations and to the hyperbolic-type equations of higher order. 
@article{VMUMM_2010_2_a14,
     author = {A. R. Ulukhanyan},
     title = {Representation of solutions to equations of hyperbolic type},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {62--66},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_2_a14/}
}
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A. R. Ulukhanyan. Representation of solutions to equations of hyperbolic type. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2010), pp. 62-66. http://geodesic.mathdoc.fr/item/VMUMM_2010_2_a14/