Browsing by Subject "Lyapunov Inequality"

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A generalized Lyapunov-type inequality in the frame of conformable derivatives

Abdeljawad, Thabet; Alzabut, Jehad; Jarad, Fahd (Springer, 2017-10-11)

We prove a generalized Lyapunov-type inequality for a conformable boundary value problem (BVP) of order alpha is an element of (1, 2]. Indeed, it is shown that if the boundary value problem (T(alpha)(c)x)(t) + r(t) x(t) ...
Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives

Abdeljawad, Thabet; Agarwal, Ravi P.; Alzabut, Jehad; Jarad, Fahd; Özbekler, Abdullah (Springer, 2018-06-20)

We state and prove new generalized Lyapunov-type and Hartman-type inequalities fora conformable boundary value problem of order alpha is an element of (1,2] with mixed non-linearities of the form ((T alpha X)-X-a)(t) + ...
On disconjugacy and stability criteria for discrete Hamiltonian systems

Mert, Raziye; Zafer, A. (Pergamon-Elsevier Science Ltd, 2011-10)

By making use of new Lyapunov type inequalities, we establish disconjugacy and stability criteria for discrete Hamiltonian systems. The stability criteria are given when the system is periodic

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