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881.
《Mathematische Nachrichten》2017,290(14-15):2259-2279
In this paper we continue the study of important Banach spaces of slice hyperholomorphic functions on the quaternionic unit ball by investigating the BMO‐ and VMO‐spaces of slice hyperholomorphic functions. We discuss in particular conformal invariance and a refined characterization of these spaces in terms of Carleson measures. Finally we show the relations with the Bloch and Dirichlet space and the duality relation with the Hardy space . The importance of these spaces in the classical theory is well known. It is therefore worthwhile to study their slice hyperholomorphic counterparts, in particular because slice hyperholomorphic functions were found to have several applications in operator theory and Schur analysis. 相似文献
882.
《Mathematische Nachrichten》2017,290(17-18):2759-2774
Here we give a new approach to the Paley–Wiener theorem in a Mellin analysis setting which avoids the use of the Riemann surface of the logarithm and analytical branches and is based on new concepts of polar‐analytic function in the Mellin setting and Mellin–Bernstein spaces. A notion of Hardy spaces in the Mellin setting is also given along with applications to exponential sampling formulas of optical physics. 相似文献
883.
We present an abstract characterization of various types of Menger algebras of n-place functions allowing certain permutations of variables. 相似文献
884.
In this paper, we investigate the mean squared derivative cost functions that arise in various applications such as in motor control, biometrics and optimal transport theory. We provide qualitative properties, explicit analytical formulas and computational algorithms for the cost functions. We also perform numerical simulations to illustrate the analytical results. In addition, as a by‐product of our analysis, we obtain an explicit formula for the inverse of a Wronskian matrix that is of independent interest in linear algebra and differential equations theory. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
885.
Marius Buliga 《Journal of Elasticity》1998,52(3):201-238
886.
Singularly perturbed systems with structural perturbations are analyzed for stability. New sufficient conditions of asymptotic stability and uniform asymptotic stability are established. The systems in question are widely used in control theory, engineering, etc 相似文献
887.
Fan Xijun 《Acta Mechanica Sinica》1992,8(4):295-306
The constitutive equation for a semiconcentrated fibre suspension in the Oldroyd-B fluid has been derived from a statistical
model of such a suspension by employing the molecular theory for polymeric liquids. To circumvent theoretical difficulties
in viscoelastic fluid mechanics, several simplified models are used to account for the interactions of fibres and polymer
molecules. Some of material functions are calculated in terms of the constitutive equation.
The project Supported by the University of Melbourne of Australia, the National Natural Science Foundation of China and Zhejiang
Province 相似文献
888.
Alex Elías-Züñiga 《Nonlinear dynamics》2007,49(1-2):307-315
The aim of this paper is to show how Jacobi elliptic functions in combination with the averaging and the harmonic balance
methods can be applied to obtain the approximate solution of two coupled, ordinary differential equations having a spring
with cubic nonlinearity and subjected to driving forces of elliptic type. By an appropriate choice of the system parameter
values, it is possible to show that our derived solution represents the exact steady-state solution of the undamped Duffing
equation with driving force of elliptic type. At the end of this work, we also demonstrate the validity of our derived solution
by comparing the amplitude–time response curves with those of the numerical integration solutions. 相似文献
889.
K. S. Matviichuk 《International Applied Mechanics》2006,42(6):699-713
Sufficient conditions for the technical stability in measure of a nonstationary control system with variable structure are
established. The controller of the system has feedback-switched filters functioning together with shaper and actuator. It
is assumed that the nonstationary parameters of the system vary within given ranges, at a finite rate, with appropriate control
laws, with adjustment against mismatch signal, its derivatives of finite order, and all variable parameters of the filter.
The parameters of the switching hyperplane remain constant. This approach for analysis of technical stability does not involve
sliding mode conditions. Criteria of technical instability in measure for the control system under consideration are formulated
using the properties of systems of comparison from below. The general criteria of technical stability and instability are
applied to nonstationary filtered-control systems of variable structure of the third order. The comparison method based on
normalized Lyapunov functions is used
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 6, pp. 110–127, June 2006. 相似文献
890.
Analytical solutions for cohesive zone models 总被引:2,自引:0,他引:2
Solutions are given for a cantilever beam specimen using a beam on elastic foundation model to incorporate various cohesive zone traction laws. These included both positive and negative linear slopes and constant stresses. Negative slopes give rise to multiple solutions. However, all the solutions give very similar results for energy release rate and beam root rotation confirming insensitivity to the form of the traction law. The use of these solutions to analyse peeling is discussed. 相似文献