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Publikováno v:
Boundary Value Problems, Vol 2011, Iss 1, p 635767 (2011)
Existence and Lyapunov stability of periodic solutions for a generalized higher-order neutral differential equation are established.
Externí odkaz:
https://doaj.org/article/d75d8c1a7a1141958f667011b8dceefd
Autor:
Cheung Wing-Sum, Zhao Chang-Jian
Publikováno v:
Journal of Inequalities and Applications, Vol 2011, Iss 1, p 71 (2011)
Abstract In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes. 2000 Mathematics Subject Classification: 52A30, 52A40, 26D15
Externí odkaz:
https://doaj.org/article/9404255c3ace476198f407665df0f182
Autor:
Cheung Wing-Sum, Zhao Chang-Jian
Publikováno v:
Journal of Inequalities and Applications, Vol 2011, Iss 1, p 7 (2011)
Abstract In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities
Externí odkaz:
https://doaj.org/article/56ff091dbb654b0e863526c01a7134f6
Publikováno v:
Journal of Inequalities and Applications, Vol 2011, Iss 1, p 840206 (2011)
We present a generalized and sharp version of Shafer's inequality for the inverse tangent function and a new lower bound of Carlson's inequality by means of a third order estimate of the inverse cosine function.
Externí odkaz:
https://doaj.org/article/3abfca387e2d49f3b014d97267b6142a
Autor:
Cheung Wing-Sum, Zhao Chang-Jian
Publikováno v:
Journal of Inequalities and Applications, Vol 2011, Iss 1, p 33 (2011)
Abstract In the present paper, we establish some new Rozanova's type integral inequalities involving higher-order partial derivatives. The results in special cases yield some of the interrelated results on Rozanova's inequality and provide new estima
Externí odkaz:
https://doaj.org/article/3d642ecb7692436e8074614f326666b9
Publikováno v:
Advances in Difference Equations, Vol 2011, Iss 1, p 41 (2011)
Abstract The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions. These inequalities given here can be used as handy t
Externí odkaz:
https://doaj.org/article/3d8ef5bff01444d3a03f7dd428cafdbf
Autor:
Cheung Wing-Sum, Changjian Zhao
Publikováno v:
Journal of Inequalities and Applications, Vol 2010, Iss 1, p 960672 (2010)
We establish some new Ostrowski-type integral inequalities involving higher-order partial derivatives. As applications, we get some interrelated results. Our results provide new estimates on inequalities of this type.
Externí odkaz:
https://doaj.org/article/7676cada5eb145f88e185e1d6e933e8a
Publikováno v:
Journal of Inequalities and Applications, Vol 2010, Iss 1, p 820857 (2010)
We establish some multiple integral Hilbert-Pachpatte-type inequalities. As applications, we get some inverse forms of Pachpatte's inequalities which were established in 1998.
Externí odkaz:
https://doaj.org/article/c0b0f5a17d1149259c40c4e713273ccc
Publikováno v:
Journal of Inequalities and Applications, Vol 2010, Iss 1, p 504982 (2010)
We establish a new Laypunov-type inequality for two nonlinear systems of partial differential equations and the discrete analogue is also established. As application, boundness of the two-dimensional Emden-Fowler-type equation is proved.
Externí odkaz:
https://doaj.org/article/e0f22d949f6946c88d25f7f4fb9949f8