Results 111 to 120 of about 25,247 (223)
Some discrete fractional Lyapunov-type inequalities [PDF]
Summary: In this work, we obtain Lyapunov-type inequalities for two-point conjugate and right-focal boundary value problems depending on discrete fractional operators \(\Delta^\alpha ...
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ABSTRACT This work proposes a new framework for stabilizing uncertain linear systems and for determining robust periodic invariant sets and their associated control laws for constrained uncertain linear systems. Necessary and sufficient conditions for stabilizability by periodic controllers are stated and proven using finite step Lyapunov functions for
Yehia Abdelsalam +2 more
wiley +1 more source
An Ostrowski Type Inequality for Double Integrals and Applications for Cubature Formulae
An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are ...
Dragomir, Sever S, Barnett, Neil S
core
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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Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions
ABSTRACT We study the orbital stability and asymptotic stability problems for KdV solitons on the right half‐line for nonhomogeneous boundary conditions in the energy space H1(R+)$H^1(\mathbb {R}^+)$. This paper improves the results of Cavalcante and Muñoz [Revista Matemática Iberoamericana 35, no. 6 (2019); and SIAM Journal on Mathematical Analysis 55,
Luccas Campos +2 more
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We give new trapezoid inequality as well as Simpson and Ostrowski type inequalities for monotonic functions.
Pecaric, Josep +2 more
core
Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces
An Ostrowski type inequality is developed for estimating the deviation of the integral mean of an absolutely continuous function, and the linear combination of its values at k + 1 partition points, on a segment of (real) linear spaces.
Dragomir, Sever S +2 more
core
Asymptotically almost periodicity of delayed Nicholson-type system involving patch structure
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 +2 more
doaj
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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Lyapunov type inequalities for systems
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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