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Lyapunov type inequalities for systems

, 2020
This thesis is about Lyapunov type inequalities for systems. After important definitions and theorems have been mentioned, some important results about Lyapunov type inequalities obtained both for the systems consisting of differential and difference equations have been given systematically.
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Lyapunov-type inequalities for a fractional p-Laplacian system

Fractional Calculus and Applied Analysis, 2017
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Jleli M., Kirane M., Samet B.
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Lyapunov's Type Inequalities for Fourth-Order Differential Equations

Abstract and Applied Analysis, 2012
For a fourth-order differential equation, we will establish some new Lyapunov-type inequalities, which give lower bounds of the distance between zeros of a nontrivial solution and also lower bounds of the distance between zeros of a solution and/or its ...
Samir H. Saker
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Lyapunov-type inequalities for a higher order fractional differential equation with fractional integral boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2017
New Lyapunov-type inequalities are derived for the fractional boundary value problem \begin{align*} & D_a^\alpha u(t)+q(t)u(t)=0,\quad ...
Mohamed Jleli, Juan Nieto, Bessem Samet
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Lyapunov-type inequalities for even order differential equations

Communications on Pure & Applied Analysis, 2012
In this paper, we establish several new Lyapunov-type inequalities for the $2n-$order differential equation $x^{(2n)}(t)+(-1)^{n-1}q(t)x(t)=0, $ which are sharper than all related existing ones.
Xiaofei He, X. H. Tang
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Asymptotically almost periodicity of delayed Nicholson-type system involving patch structure

Electronic Journal of Differential Equations, 2020
In this article we study a delayed Nicholson-type system involving patch structure. We apply differential inequality techniques to establish a sufficient condition for the existence of positive asymptotically almost periodic solutions. By constructing
Chuangxia Huang, Jiafu Wang, Lihong Huang   +2 more
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Asymptotic Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays

Journal of Applied Mathematics, 2012
This work addresses the asymptotic stability for a class of impulsive cellular neural networks with time-varying delays and reaction-diffusion. By using the impulsive integral inequality of Gronwall-Bellman type and Hardy-Sobolev inequality as well as ...
Yutian Zhang
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New LMI-Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions

Abstract and Applied Analysis, 2012
The stability analysis of global asymptotic stability of neural networks of neutral type with both discrete interval delays and general activation functions is discussed.
Guoquan Liu, Shumin Zhou, He Huang
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Recent results on fractional Lyapunov-type inequalities: A survey

Fractional Differential Calculus
Summary: This survey paper complements to our previous review papers on Lyapunov-type inequalities and contains some of the most recent results on these inequalities for fractional boundary value problems involving a variety of fractional derivative operators and boundary conditions.
Ntouyas, Sotiris K., Ahmad, Bashir, Tariboon, Jessada   +2 more
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Lyapunov-Type Inequalities for a Nonlinear System Including Operators

Ukrainian Mathematical Journal
UDC 517.9 We obtain new Lyapunov-type inequalities for a nonlinear system including p -relativistic operator and q -prescribed curvature operator under the Dirichlet or antiperiodic boundary condition.
Mustafa Fahri Aktaş, Başak Ecem Bingül   +1 more
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