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20051109BuchOn a generic class of regular oneparametric variational inequalities In this paper the regularity of oneparametric opitmization problems in the sense of Jongen, Jonker and Twilt is extended to oneparametric variational inequalities. The five singularities are defined in this context and ...

20051017BuchOn a thermodynamically consistent modification of the BeckerDoering equations Recently, Dreyer and Duderstadt have proposed a modification of the BeckerDoering cluster equations which now have a nonconvex Lyapunov function. We start with existence and uniqueness results for the modified equations. ...

20040906BuchOn Artin's Lfuncions. II: Dirichlet Coefficients Let $K/\Q$ be a finite Galois extension, let $\chi$ be a character of the Galois group $G=\Gal(K/\Q)$ which does not contain the principal character, let $L_{ur}(s,\chi,K/\Q)$ be the unramified part of the corresponding ...

20051116BuchOn asymptotics in case of linear index2 differentialalgebraic equations Asymptotic properties of solutions of general linear differentialalgebraic equations (DAE's) and those of their numerical counterparts are discussed. New results on the asymptotic stability in the sense of Lyapunov as ...

19981103BuchOn Convolution Operators in the Spaces of Almost Periodic Functions and Lp Spaces We consider operators of convolution generated by $L^1$ functions in $L^p$ and various spaces of almost periodic functions. It turns out to be that if such an operator is invertible in one of these spaces, then it is ...

20051114BuchOn Differentiability of Metric Projections onto Moving Convex Sets We consider properties of the metric projections onto moving convex sets in normed linear spaces. Under certain conditions about the norm, directional differentiability (of higher order) of the metric projections at boundary ...

19990524BuchOn double oneparametric optimization problems and some applications This paper deals with a special class of quadratic optimization problems with quadratic constraints, which we call double parametric. We try to solve these problems using Pathfollowing Methods with a special case of the ...

20110811BuchOn Existence and Regularity of Solutions for a Stationary NavierStokes System Coupled to an Equation for the Turbulent Kinetic Energy We investigate a stationary model for turbulent flows, in which the NavierStokes system is coupled to an equation for the density of turbulent kinetic energy through a bounded coefficient of eddy viscosity. We prove the ...

20050101BuchOn Émery's inequality and a variationofconstants formula A generalization of Émery's inequality for stochastic integrals is shown for convolution integrals with respect to an arbitrary semimartingale. The inequality is used to prove existence and uniqueness of solutions of ...

19970912BuchOn generic quadratic penalty embeddings for nonlinear optimization problems The generic character of the regularity in the sense of Jongen, Jonker und Twilt is studied for a particular class of embeddings, wich represents a quadratic penalty procedure. In this paper we state a suitable perturbation ...

20110920BuchOn guaranteed parameter estimation of a multiparameter linear regression process

20051103BuchOn Halanaytype analysis of exponential stability for the thetaMaruyama method for stochastic delay differential equations Using an approach that has its origins in work of Halanay, we consider stability in mean square of numerical solutions obtained from the thetaMaruyama discretization of a test stochastic delay differential equation dX(t) ...

20051021BuchOn lifetimedistributions of some onedimensional diffusions and related exponential families Diffusions X on the positive halfaxis with elastic killing boundary at zero and inaccessible boundary at ∞ are considered. The lifetime ζ is finite and hθ(x) = Ex exp(θζ), n ≥ 0, is an θexcessive function. The h(θ)transforms ...

20051021BuchOn linear differentialalgebraic equations and linearizations On the background of a careful analysis of linear DAEs, linearizations of nonlinear index2 systems are considered. Finding appropriate function spaces and their topologies allows to apply the standard Implicit Function ...

20051103BuchOn linear differentialalgebraic equations with properly stated leading term I: Regular pointsWe consider in this work linear, timevarying differentialalgebraic equations (DAEs) of the form A(t)(D(t)x(t))'+B(t)x(t)=q(t) through a projector approach. Our analysis applies in particular to linear DAEs in standard ...

20051103BuchOn linear differentialalgebraic equations with properly stated leading term II: Critical pointsThis paper addresses critical points of linear differentialalgebraic equations (DAEs) of the form A(t)(D(t)x(t))' + B(t)x(t) = q(t) within a projectorbased framework. We present a taxonomy of critical points which reflects ...

20051107BuchOn linearquadratic optimal control problems for timevarying descriptor systems The solvability of a linearquadratic optimal control problem in a Hilbert space for timevarying descriptor systems is established under some conditions. Unlike previous works of other authors that are devoted to ...

20051107BuchOn logarithmic norms for differential algebraic equations Logarithmic matrix norms are well known in the theory of ordinary differential equations (ODEs) where they supply estimates for error growth and the growth of the solutions. In this paper we present a natural generalization ...

20051116BuchOn Maxwell's equations in exterior domains In this paper the long time asymptotic behavior of solutions of Maxwell's equations with electric conductivity in an exterior domain with mixed boundary conditions is investigated. It is shown that the solution behaves ...

20051021BuchOn Modifications of the Standard Embedding in Nonlinear Optimization This paper deals with pathfollowing methods in nonlinear optimization. We study the so called "standard embedding" and show its limits. Then, we modify this embedding from several points of view and obtain modified standard ...