DOI
10.34229/KCA2522-9664.24.5.7
UDC 517.9
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2 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
 myksyd@knu.ua
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3 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
lyashko.natali@gmail.com
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DIFFERENTIAL OPERATORS DETERMINING THE SOLUTION
OF AN ITERATED EQUATION OF HYPERBOLIC TYPE
Abstract. Hyperbolic-type differential equations and their iterations are widely used in analyzing problems related to vibration phenomena and other problems of mechanics and mathematical physics. The solution methods for such equations are creating differential and integral operators. In the article, differential operators are constructed that translate arbitrary functions into regular solutions of a hyperbolic equation of the second and higher orders. The Riquet problem for the hyperbolic equation of the fourth order is solved.
Keywords: differential operator, regular solutions, iterated hyperbolic-type equations.
full text
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