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On boundary-value problem for hyperbolic-type equation of the third order
Authors:O. S. Zikirov
Affiliation:(1) Department of Mechanics and Mathematics, National University of Uzbekistan, VUZgorodok, Tashkent, 100174, Uzbekistan
Abstract:We formulate some boundary-value problems for a linear third-order equation with hyperbolic operator in the main part and study the unique solvability. Under certain conditions to given functions, using the Riemann method, we obtain an integral representation of solutions. Published in Lietuvos Matematikos Rinkinys, Vol. 47, No. 4, pp. 591–603, October–December, 2007.
Keywords:boundary-value problem  Riemann function  nonlocal conditions  hyperbolic equation of the third order
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