[PDF][PDF] Recent developments of Lyapunov-type inequalities

A Tiryaki - Adv. Dyn. Syst. Appl, 2010 - campus.mst.edu
Recent Developments of Lyapunov-type Inequalities 1 Introduction Page 1 Advances in
Dynamical Systems and Applications ISSN 0973-5321, Volume 5, Number 2, pp. 231–248 (2010) …

Lyapunov-type integral inequalities for certain higher order differential equations

D Çakmak - Applied Mathematics and Computation, 2010 - Elsevier
Lyapunov-type integral inequalities for certain higher order differential equations - ScienceDirect
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[图书][B] Lyapunov inequalities and applications

RP Agarwal, M Bohner, A Özbekler - 2021 - Springer
Inequalities play a fundamental rôle in all areas of mathematics and their applications.
Among several well-known inequalities, Lyapunov-type inequalities have been studied …

Liapunov-type inequalities for third-order half-linear equations and applications to boundary value problems

S Dhar, Q Kong - Nonlinear Analysis: Theory, Methods & Applications, 2014 - Elsevier
We derive Liapunov-type inequalities for third-order half-linear differential equations. These
inequalities utilize integrals of both q+(t) and q−(t) rather than those of| q (t)| as in most …

On Lyapunov-type inequality for quasilinear systems

D Çakmak, A Tiryaki - Applied Mathematics and Computation, 2010 - Elsevier
In this paper, we sketch some recent developments in the theory of Lyapunov-type
inequalities and present some new results relating to a quasilinear system, special cases of …

Lyapunov-type inequality for a class of Dirichlet quasilinear systems involving the (p1, p2,…, pn)-Laplacian

D Çakmak, A Tiryaki - Journal of Mathematical Analysis and Applications, 2010 - Elsevier
Lyapunov-type inequality for a class of Dirichlet quasilinear systems involving the (p1,p2,…,pn)-Laplacian
Page 1 J. Math. Anal. Appl. 369 (2010) 76–81 Contents lists available at ScienceDirect …

On Lyapunov-type inequality for a class of nonlinear systems

D Cakmak - Mathematical Inequalities & Applications, 2013 - avesis.gazi.edu.tr
In this paper, we will try to find a new Lyapunov-type inequality for a class of nonlinear
systems, special cases of which contain some well-known Hamiltonian system, Emden …

[HTML][HTML] Lyapunov-type inequalities for a certain class of nonlinear systems

A Tiryaki, D Çakmak, MF Aktaş - Computers & Mathematics with …, 2012 - Elsevier
In this paper, we state and prove some new Lyapunov-type inequalities for a class of
nonlinear systems, special cases of which contain the well-known Hamiltonian system …

[HTML][HTML] Lyapunov type inequalities for mixed nonlinear Riemann–Liouville fractional differential equations with a forcing term

RP Agarwal, A Özbekler - Journal of Computational and Applied …, 2017 - Elsevier
In this paper, we present some new Lyapunov and Hartman type inequalities for Riemann–
Liouville fractional differential equations of the form (a D α x)(t)+ p (t)∣ x (t)∣ μ− 1 x (t)+ q …

[HTML][HTML] On the Lyapunov-type inequalities of a three-point boundary value problem for third order linear differential equations

MF Aktaş, D Çakmak, A Tiryaki - Applied Mathematics Letters, 2015 - Elsevier
In this paper, by using Green's function for second order differential equations with Dirichlet
boundary condition, we establish new Lyapunov-type inequalities for third order linear …