Jaroslav Jaros
Abstract:
We established a Picone identity for systems of nonlinear
partial differential equations of first-order.
With the help of this formula, we obtain qualitative results
such as an integral inequality of Wirtinger type and the existence
of zeros for the first components of solutions in a given bounded domain.
Submitted March 31, 2013. Published June 22, 2013.}
Math Subject Classifications: 35B05.
Key Words: Nonlinear differential system; Picone identity; Wirtinger inequality.
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Jaroslav Jaros Department of Mathematical Analysis and Numerical Mathematics Faculty of Mathematics, Physics and Informatics Comenius University, 842 48 Bratislava, Slovakia email: jaros@fmph.uniba.sk |
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