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
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