Nonlocal problem with moment conditions for hyperbolic equations
Date
2017-10-20
Authors
Il'kiv, Volodymyr S.
Nytrebych, Zinovii
Pukach, Petro
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We investigate a problem with nonlocal integral moment conditions with respect to the time variable for partial differential equation with constant coefficients. We obtain necessary and sufficient conditions for the existence of solutions in the class of periodic functions with respect to the spatial variables. For studying the asymptotic properties of this problem, we use only the partial integration formula and the length of the interval of integration.
Description
Keywords
Boundary value problem, Partial differential equation, Integral conditions, Moment-type conditions, Small denominators
Citation
Il'kiv, V. S., Nytrebych, Z. M., & Pukach, P. Y. (2017). Nonlocal problem with moment conditions for hyperbolic equations. <i>Electronic Journal of Differential Equations, 2017</i>(265), pp. 1-9.
Rights
Attribution 4.0 International