Volodymyr S. Il'kiv, Zinovii M. Nytrebych, Petro Ya. Pukach
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.
Submitted January 28, 2017. Published October 20, 2017.
Math Subject Classifications: 35L35, 35B15, 56B30.
Key Words: Boundary value problem; partial differential equation;
integral conditions; moment-type conditions; small denominators.
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Volodymyr S. Il'kiv Department of Mathematics Lviv Polytechnyc National University 12 Bandera str., Lviv 79013, Ukraine email: ilkivv@i.ua |
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Zinovii M. Nytrebych Department of Mathematics Lviv Polytechnyc National University 12 Bandera str., Lviv 79013, Ukraine email: znytrebych@gmail.com |
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Petro Ya. Pukach Department of Mathematics Lviv Polytechnyc National University 12 Bandera str., Lviv 79013, Ukraine email: ppukach@gmail.com |
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