Mustafa Fahri AKTAŞ, Devrim ÇAKMAK

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

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,

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