Abstract
AbstractIn this article, we prove a Lyapunov-type inequality for a fractional differential equation under mixed boundary conditions. As applications, we deduce nonexistence results for some fractional boundary value problems. Moreover, we obtain numerical approximations of a lower bound for the eigenvalues of the corresponding equations.
Publisher
Springer Science and Business Media LLC
Reference17 articles.
1. R.C. Brown, D.B. Hinton, Lyapunov inequalities and their applicationa, in Survey on classical inequalities. ed. by T.M. Rassias (Springer, Dordrecht, 2000), pp.1–25. https://doi.org/10.1007/978-94-011-4339-4_1
2. G. Borg, On a Liapunoff criterion of stability. Am. J. Math. 71, 67–70 (1949). https://doi.org/10.2307/2372093
3. R.S. Dahiya, B. Singh, A Lyapunov inequality and nonoscillation theorem for a second order nonlinear differential-difference equations. J. Math. Phys. Sci. 7, 163–170 (1973)
4. S. Clark, D.B. Hinton, A Liapunov inequality for linear Hamiltonian systems. Math. Inequal. Appl. 1, 201–209 (1998). https://doi.org/10.7153/mia-01-18
5. Q.M. Zhang, X.H. Tang, Lyapunov inequalities and stability for discrete linear Hamiltonian systems. J. Differ. Equ. Appl. 18(9), 1467–1484 (2012). https://doi.org/10.1080/10236198.2011.572071
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献