- Hacettepe Journal of Mathematics and Statistics
- Vol: 48 Issue: 1
- Lyapunov-type inequalities for third order linear differential equations with two points boundary co...
Lyapunov-type inequalities for third order linear differential equations with two points boundary conditions
Authors : Mustafa Fahri Aktaş, Devrim Çakmak
Pages : 59-66
View : 11 | Download : 8
Publication Date : 2019-02-01
Article Type : Research
Abstract :In this paper, by using Green's functions for second order differential equations, we establish new Lyapunov-type inequalities for third order linear differential equations with two points boundary conditions. By using such inequalities, we obtain sharp lower bounds for the eigenvalues of corresponding equations.Keywords : Lyapunov-type inequalities, Green's functions, two points boundary conditions