摘要:

We present a mathematical framewirk to provide general well-posedness and approximation results for a class of models for piezoceramic activated constrained layer structures. The models include unbounded inputs from the piezo material and hysteresis in the viscoelastic constrained layers, and describe coupled bending and longitudinal vibrations in curved structural members. Families of linear/cubic splines are used to illustrate the approximation ideas.

ISSN:0163-0563    

DOI:10.1080/01630569608816679

出版商:Marcel Dekker, Inc    

年代:1996

数据来源: Taylor

摘要:

Starting with a parabolic problem whose solutions can be approximated by a suitable approximation process, we show how to modify the approximation process when the differential operator is perturbed with a first order term.

ISSN:0163-0563    

DOI:10.1080/01630569608816680

出版商:Marcel Dekker, Inc.    

年代:1996

数据来源: Taylor

摘要:

Many applied problems can be reduced to finding a point in the intersection of sets. This paper is devoted to the analysis of projection methods for sets which admit a convex expansion. Asymptotic results follow, including strong convergence properties. A counterexample clearly shows the difference with the convex case. We also propose stepwise approximation of the initial point

ISSN:0163-0563    

DOI:10.1080/01630569608816681

出版商:Marcel Dekker, Inc.    

年代:1996

数据来源: Taylor

摘要:

We extend the well-known Peano Kernel Theorem to a class of linear operatorsL : Cn+1([a,b];X}→ X, Xbeing a Branch space, which vanish on abstract polynomials of degree ≤n. We then recover, in the abstract setting, classical estimates of remainders in polynomials interpolation and quadrature formulas. Finally, we present an application to the error analysis of the trapezoidal time discretization scheme for parabolic evolution equations.

ISSN:0163-0563    

DOI:10.1080/01630569608816682

出版商:Marecl Dekker, Inc.    

年代:1996

数据来源: Taylor

摘要:

Explicit closed-form solutions for a class of first order evolution problems in a Hilbert space are presented. On the basis of these explicit representations we construct approximations adapted to the regularity of the initial data.

ISSN:0163-0563    

DOI:10.1080/01630569608816683

出版商:Marcel Dekker, Inc.    

年代:1996

数据来源: Taylor

摘要:

The hemivariational inequality approach of P.D. Panagiotopoulos [18]-[22] is used so as to establish the existence of solutions to a class of noncoercive and nonconvex constrained problems in a reflexive Banach space.

ISSN:0163-0563    

DOI:10.1080/01630569608816684

出版商:Marcel Dekker, Inc.    

年代:1996

数据来源: Taylor

摘要:

It is well-known in domain optimization that the derivative of a cost function with respect to the shape of a domain is a distribution with support lying in the boundary of the domain to be optimized. This existence result is completed with a constructive method giving an explicit expression of this distribution, which can be applied in general cases. The relationship between material and local derivates of any order, provided they are well-defined, is also investigated.

ISSN:0163-0563    

DOI:10.1080/01630569608816685

出版商:Marcel Dekker, Inc    

年代:1996

数据来源: Taylor

摘要:

A new convergence theorem is established for the super-Halley method. This method has, in general, order three, but when it is applied to quadratic equations, its order is four.

ISSN:0163-0563    

DOI:10.1080/01630569608816686

出版商:Marcel Dekker, Inc    

年代:1996

数据来源: Taylor

摘要:

For a bounded linear operatorAon a Hilbert spaceHwe study local spectral sets and their relation to the spectrum of the local operator. By the local operator we meanArestricted to a Krylov subspacefor a genericb ↦ H. Moreover we investigate the relation between σ(A), the spectrum ofA, and the spectrum of the local operators are being studied.

ISSN:0163-0563    

DOI:10.1080/01630569608816687

出版商:Marcel Dekker, Inc.    

年代:1996

数据来源: Taylor

摘要:

Here we give several modular estimates for nonlinear integral operators of the formTƒ(s) =∫R+NK(t, s, ƒ(t))dtin Musielak-Orlicz spaces. Moreover, we also furnish a superposition theorem for operators with homogeneous kernels and as applications, we obtain estimates in fractional Musielak-Orlicz spaces.

ISSN:0163-0563    

DOI:10.1080/01630569608816688

出版商:Marcel Dekker, Inc.    

年代:1996

数据来源: Taylor