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Integral Inequalities (integral + inequality)

Distribution by Scientific Domains
Mathematics and Statistics80%

Selected Abstracts

Delay-dependent stability and stabilization of neutral time-delay systems

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 12 2009
Jian Sun
Abstract This paper is concerned with the problem of stability and stabilization of neutral time-delay systems. A new delay-dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free-weighting matrices. On the basis of the obtained stability condition, a stabilizing method is also proposed. Using an iterative algorithm, the state feedback controller can be obtained. Numerical examples illustrate that the proposed methods are effective and lead to less conservative results. Copyright © 2008 John Wiley & Sons, Ltd. [source]

Existence and uniform decay for Euler,Bernoulli beam equation with memory term

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 14 2004
Jong Yeoul Park
Abstract In this article we prove the existence of the solution to the mixed problem for Euler,Bernoulli beam equation with memory term. The existence is proved by means of the Faedo,Galerkin method and the exponential decay is obtained by making use of the multiplier technique combined with integral inequalities due to Komornik. Copyright © 2004 John Wiley & Sons, Ltd. [source]

Weighted isoperimetric inequalities on ,n and applications to rearrangements

MATHEMATISCHE NACHRICHTEN, Issue 4 2008
M. Francesca Betta
Abstract We study isoperimetric inequalities for a certain class of probability measures on ,n together with applications to integral inequalities for weighted rearrangements. Furthermore, we compare the solution to a linear elliptic problem with the solution to some "rearranged" problem defined in the domain {x: x1 < , (x2, ,, xn)} with a suitable function , (x2, ,, xn). (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

Sharp integral inequalities for harmonic functions

COMMUNICATIONS ON PURE & APPLIED MATHEMATICS, Issue 1 2008
Fengbo Hang
Motivated by Carleman's proof of isoperimetric inequality in the plane, we study some sharp integral inequalities for harmonic functions on the upper half-space. We also derive the regularity for nonnegative solutions of the associated integral system and some Liouville-type theorems. © 2007 Wiley Periodicals, Inc. [source]