Problem for hyperbolic system of equations having constant coefficients with integral conditions with respect to the time variable

Authors

  • A.M. Kuz Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine
  • B.Yo. Ptashnyk Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine
https://doi.org/10.15330/cmp.6.2.282-299

Keywords:

integral conditions, small denominators, Lebesgue measure, almost periodic function, hyperbolic system
Published online: 2014-12-27

Abstract

In a domain specified in the form of a Cartesian product of a segment $\left[0,T\right]$ and the space ${\mathbb R}^{p}$, we study a problem with integral conditions with respect to the time variable for  hyperbolic system with constant coefficients in a class of almost periodic functions in the space variables. A criterion for the unique solvability of this problem and sufficient conditions for the existence of its solution are established. To solve the problem of small denominators arising in the construction of solutions of the posed problem, we use the metric approach.

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How to Cite
(1)
Kuz, A.; Ptashnyk, B. Problem for Hyperbolic System of Equations Having Constant Coefficients With Integral Conditions With Respect to the Time Variable. Carpathian Math. Publ. 2014, 6, 282-299.