One of the difficulties of the numerical integration methods for differential-algebraic equations (DAEs) is computing consistent initial values before starting the integration, i.e. calculating values that satisfy the given ...

New stability results are proved for linear index-2 differential algebraic equations (DAE). They are obtained by means of an improved projector decoupling. On the background of logarithmic norms related to invariant ...

One of the difficulties of the numerical integration methods for differential-algebraic equations (DAEs) is the computation of consistent initial values before starting the integration, i.e., to calculate values that satisfy ...

This paper provides a $L^p$-theory for the Maxwell-system in the semistatic limit case in an exterior domain. The problem under consideration is of mixed type, since the possibly nonlinear electric conductivity vanishes ...

Global convergence theorems for a class of descent methods for unconstrained optimization problems in normed spaces, using multidirectional search, are proved. Exact and inexact search are considered and the results allow ...

For linear differential algebraic equations of tractability index 1 the notion of the adjoint equation is analysed in full detail. Its solvability is shown at the lowest possible smoothness. The fundamental matrices of ...

In a dialogue procedure the decision maker has to determine in each step the aspiration and reservation level expressing his wishes (goals). This leads to an optimization problem wich is not easy to solve in the nonconvex ...

We solve in Riemann theta functions the classical Clebsch system and its particular case - the C. Neumann system. Going from a new Lax representation (with rational parameter) we work out the solutions. Separately, using ...

Let X be a smooth variety defined over an algebraically closed field of arbitrary characteristic and H be a very ample divisor on X. We show that for a semistable X-bundle E of rank two, there exists an integer m depending ...

This paper considers the index-1 tractable differential-algebraic 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) ...