Devrim Cakmak, Mustafa Fahri Aktas, Aydin Tiryaki
Abstract:
We prove some generalized Lyapunov-type inequalities for
n-dimensional Dirichlet nonlinear systems. We extend the results
obtained by Cakmak and Tiryaki [6] for a parameter
.
As an application, we obtain lower bounds for the
eigenvalues of the corresponding system.
Submitted August 20, 2012. Published May 27, 2013.
Math Subject Classifications: 26D10, 34A40, 34C10.
Key Words: Lyapunov-type inequality; lower bound;
-Laplacian.
Show me the PDF file (237 KB), TEX file, and other files for this article.
Devrim Cakmak Gazi University, Faculty of Education Department of Mathematics Education 06500 Teknikokullar, Ankara, Turkey email: dcakmak@gazi.edu.tr | |
Mustafa Fahri Aktas Gazi University, Faculty of Sciences Department of Mathematics 06500 Teknikokullar, Ankara, Turkey email: mfahri@gazi.edu.tr | |
Aydin Tiryaki Izmir University, Faculty of Arts and Sciences Department of Mathematics and Computer Sciences 35350 Uckuyular, Izmir, Turkey email: aydin.tiryaki@izmir.edu.tr |
Return to the EJDE web page