Representation of solutions to equations of hyperbolic type |
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Authors: | A R Ulukhanyan |
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Institution: | 1.Faculty of Mechanics and Mathematics,Moscow State University,Leninskie Gory, Moscow,Russia |
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Abstract: | The general solutions to hyperbolic equations of fourth and sixth order 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 the
system of Legendre polynomials can be reduced to these equations and to some hyperbolic-type equations of higher order. |
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