Volodymyr S. Il'kiv, Zinovii M. Nytrebych, Petro Ya. Pukach
Abstract:
We study a problem with integral boundary conditions in the time
coordinate for a system of Lame equations of dynamic elasticity theory
of an arbitrary dimension. We find necessary and sufficient conditions
for the existence and uniqueness of solution in the class of almost
periodic functions in the spatial variables.
To solve the problem of small denominators arising while constructing
solutions, we use the metric approach.
Submitted July 17, 2016. Published November 28, 2016.
Math Subject Classifications: 35B30, 35L53.
Key Words: Lame equation; integral boundary conditions; small denominators.
Show me the PDF file (249 KB), TEX file for this article.
 |
Volodymyr S. Il'kiv Department of Mathematics Lviv Polytechnic National University 12 Bandera str., Lviv 79013, Ukraine email: ilkivv@i.ua |
|---|---|
 |
Zinovii M. Nytrebych Department of Mathematics Lviv Polytechnic National University 12 Bandera str., Lviv 79013, Ukraine email: znytrebych@gmail.com |
 |
Petro Ya. Pukach Department of Mathematics Lviv Polytechnic National University 12 Bandera str., Lviv 79013, Ukraine email: ppukach@gmail.com |
Return to the EJDE web page