Lyapunov-type inequalities for third order linear differential equations with two points boundary conditions

Authors : Mustafa Fahri AKTAŞ, Devrim ÇAKMAK

Pages : 59-66

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Publication Date : 2019-02-01

Article Type : Research Paper

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