scholarly journals Some generalizations for Opial's inequality involving several functions and their derivatives of arbitrary order on arbitrary time scales

2011 ◽  
pp. 79-92 ◽  
Author(s):  
Başak Karpuz ◽  
Umut Mutlu Özkan
Keyword(s):  
Time Scales ◽  
Arbitrary Order ◽  
Arbitrary Time ◽  
Opial’S Inequality ◽  
Derivatives Of ◽  
Opial's Inequality

scholarly journals Weighted Opial inequalities

2002 ◽  
Vol 33 (1) ◽  
pp. 83-92
Author(s):  
J. J. Koliha ◽  
J. Pecaric
Keyword(s):  
Difference Equations ◽  
Fractional Derivatives ◽  
Kluwer Acad ◽  
General Inequality ◽  
Opial’S Inequality ◽  
Opial's Inequality

This paper presents a class of very general weighted Opial type inequalities. The notivation comes from the monograph of Agarwal and Pang (Opial Inequalities with Applications in Differential and Difference Equations, Kluwer Acad., Dordrecht 1995) and the work of Anastassiou and Pecaric (J. Math. Anal. Appl. 239 (1999), 402-418).  Assuming only a very general inequality, we extend the latter paper in several directions.  A new result generalizing the original Opial's inequality is obtained, and applications to fractional derivatives are given.

scholarly journals CONSTRAINT ALGEBRAS IN GAUGE-INVARIANT SYSTEMS

1995 ◽  
Vol 10 (28) ◽  
pp. 4087-4105 ◽  
Author(s):  
KH. S. NIROV
Keyword(s):  
Wide Class ◽  
Arbitrary Function ◽  
Arbitrary Order ◽  
Local Symmetry ◽  
Poisson Brackets ◽  
Hamiltonian Description ◽  
Gauge Invariant ◽  
Symmetry Transformations ◽  
Constraint Algebra ◽  
Derivatives Of

A Hamiltonian description is constructed for a wide class of mechanical systems having local symmetry transformations depending on time derivatives of the gauge parameters of arbitrary order. The Poisson brackets of the Hamiltonian and constraints with each other and with an arbitrary function are explicitly obtained. The constraint algebra is proved to be of the first class.

scholarly journals Schwarz-Pick Estimates for Holomorphic Mappings with Values in Homogeneous Ball

2012 ◽  
Vol 2012 ◽  
pp. 1-9
Author(s):  
Jianfei Wang
Keyword(s):  
Banach Space ◽  
Unit Ball ◽  
Arbitrary Order ◽  
Complex Banach Space ◽  
Holomorphic Mappings ◽  
Partial Derivatives ◽  
Carathéodory Metric ◽  
Homogeneous Ball ◽  
Derivatives Of

LetBXbe the unit ball in a complex Banach spaceX. AssumeBXis homogeneous. The generalization of the Schwarz-Pick estimates of partial derivatives of arbitrary order is established for holomorphic mappings from the unit ballBntoBXassociated with the Carathéodory metric, which extend the corresponding Chen and Liu, Dai et al. results.

Oscillation criteria for higher order nonlinear delay dynamic equations on time scales

2016 ◽  
Vol 66 (3) ◽  
Author(s):  
Xin Wu ◽  
Taixiang Sun
Keyword(s):  
Time Scales ◽  
Dynamic Equation ◽  
Time Scale ◽  
Higher Order ◽  
Dynamic Equations ◽  
Oscillation Criteria ◽  
Arbitrary Time ◽  
Delay Dynamic Equation ◽  
Delay Dynamic Equations ◽  
Nonlinear Delay

AbstractIn this paper, we study the oscillation criteria of the following higher order nonlinear delay dynamic equationon an arbitrary time scalewith

scholarly journals Lyapunov-Type Inequalities for Some Quasilinear Dynamic System Involving the(p1,p2,…,pm)-Laplacian on Time Scales

2011 ◽  
Vol 2011 ◽  
pp. 1-10
Author(s):  
Xiaofei He ◽  
Qi-Ming Zhang
Keyword(s):  
Dynamic System ◽  
Time Scales ◽  
Time Scale ◽  
Arbitrary Time

We establish several new Lyapunov-type inequalities for some quasilinear dynamic system involving the(p1,p2,…,pm)-Laplacian on an arbitrary time scale𝕋, which generalize and improve some related existing results including the continuous and discrete cases.

Schwarz—Pick Inequalities for Derivatives of Arbitrary Order

2003 ◽  
Vol 19 (2) ◽  
pp. 265-277 ◽  
Author(s):  
Avkhadiev ◽  
-J. Wirths
Keyword(s):  
Arbitrary Order ◽  
Derivatives Of
Sign in / Sign up

Export Citation Format

Share Document