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Lyapunov-type inequalities for nonlinear systems |
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| Authors: | Ayd?n Tiryaki Devrim Çakmak |
| Institution: | a Department of Mathematics, Faculty of Arts and Science, Gazi University, 06500 Teknikokullar-Ankara, Turkey b Department of Mathematics and Computer Science, University of Bahçe?ehir, 34538 Bahçe?ehir, ?stanbul, Turkey c Department of Mathematics Education, Faculty of Education, Gazi University, 06500 Teknikokullar-Ankara, Turkey |
| Abstract: | In this paper, by using elementary analysis, we establish some new Lyapunov-type inequalities for nonlinear systems of differential equations, special cases of which contain the well-known equations such as Emden-Fowler-type and half-linear equations. The inequalities obtained here can be used as handy tools in the study of qualitative behaviour of solutions of the associated equations. |
| Keywords: | Hamiltonian system Lyapunov-type inequality Second order Ordinary differential equations |
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