Lyapunov-type inequalities for third-order linear differential equations
Date
2017-05-24
Authors
Aktas, Mustafa Fahri
Cakmak, Devrim
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we establish new Lyapunov-type inequalities for third-order linear differential equations
y‴ + q(t)y = 0
under the three-point boundary conditions
y(α) = y(b) = y(c) = 0
and
y(α) = y″(d) = y(b) = 0
by bounding Green's functions G(t, s) corresponding to appropriate boundary conditions. Thus, we obtain the best constants of Lyapunov-type inequalities for three-point boundary value problems for third-order linear differential equations in the literature.
Description
Keywords
Lyapunov-type inequalities, Green's Functions, Three-point boundary conditions
Citation
Aktas, M. F., & Cakmak, D. (2017). Lyapunov-type inequalities for third-order linear differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(139), pp. 1-14.
Rights
Attribution 4.0 International