Browsing Institut für Mathematik by Title
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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 We 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 This 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 ...

20051104BuchOn optimality conditions for some nonsmooth optimization problems over Lp spaces The paper deals with the minimization of an integral functional over an $L^{p}$ space subject to various types of constraints. For such optimization problems new necessary optimality conditions are derived, based on several ...

20060802BuchOn parameter estimation of stochastic delay differential equations with guaranteed accuracy by noisy observations Let (X(t), t ≥ −1) and (Y (t), t ≥ 0) be stochastic processes satisfying dX(t) = aX(t)dt + bX(t − 1)dt + dW(t) and dY (t) = X(t)dt + dV (t), respectively. Here (W(t), t ≥ 0) and (V (t), t ≥ 0) are independent standard ...

20051104BuchOn some questions related to the Krichever correspondence The article is devoted to some questions of Krichever correspondence for algebraic curves and surfaces. We construct new examples of subspaces of 2dimensional local field from Krichever correspondence for algebraic surface, ...

20051115BuchOn Stochastic Integer Programming under Probabilistic Constraints We consider stochastic programming problems with probabilistic constraints involving integervalued random variables. The concept of pefficient points of a probability distribution is used to derive various equivalent ...

20051116BuchOn the average behaviour of greedy algorithms for the knapsack problem We study the average behaviour of the wellknown greedy algorithms for the onedimensional knapsack problem with Boolean variables when the number of variables n tends to infinity. It is supposed that the righthand side ...

20110927BuchOn the construction of a class of DulacCherkas functions for generalized Liénard systems

20051111BuchOn the criterion of asymptotical stability for index1 tractable DAEs This paper considers the index1 tractable differentialalgebraic equation. The Lyapunov stability of the trivial solution is discussed. As a criterion of the asymptotical stability we propose a numerical parameter æ(A,B) ...

20051116BuchOn the EPICompactness of EquiLower SemiContinuous Functions In this paper we show that equilsc. functions from a topological vector space X to the extended reals are epicompact without assuming the local compactness or the second countablity of the underlying space X. We also ...

20110927BuchOn the existence of weak solutions to a coupled system of two turbulent flows

20110920BuchOn the geometry of polar varieties

20110920BuchOn the intrinsic complexity of point finding in real singular hypersurfaces In previous work we designed an efficient procedure that finds an algebraic sample point for each connected component of a smooth real complete intersection variety. This procedure exploits geometric properties of generic ...

20051020BuchOn the Jacobian Varieties of Picard curves In this paper a system of coordinates for the effective divisors on the Jacobian Variety of a Picard curve is presented. These coordinates possess a nice geometric interpretation and provide us with an unifying environment ...

20030117BuchOn the LFunction of Some Kummer Curves with Complex Multiplication Let l be a prime number. For $n \ge 1$ the Lfunction of the Kummer Curve $C_n :y^l = x(x^{l^n}  1)$ over the cyclotomic field $\Bbb{Q} (\zeta_{l^{n+1}}, \zeta_{l^{n+1}} := {\rm exp} \frac{2\pi i}{l^{n+1}}$, is a product ...