Ein verallgemeinerter Kettenbruch-Algorithmus zur rationalen Hermite-Interpolation

Summary In this paper we consider rational interpolation for an Hermite Problem, i.e. prescribed values of functionf and its derivatives. The algorithm presented here computes a solutionp/q of the linearized equationsp–fq=0 in form of a generalized continued fraction. Numeratorp and denominatorq of the solution attain minimal degree compatible with the linearized problem. The main advantage of this algorithm lies in the fact that accidental zeros of denominator calculated during the algorithm cannot lead to an unexpected stop of the algorithm. Unattainable points are characterized.

Herrn Prof. Dr. Dr. h.c.mult. L. Collatz zum 70. Geburtstag gewidmet     

Ein Nomogramm zur Reduktion eines Resonators mit interner dünner Linse

Ohne ZusammenfassungDiese Arbeit wurde durch den Schweiz. Nationalfonds unterstützt.     

Heuristische Verfahren zur Lösung allgemeiner ganzzahliger linearer Optimierungsprobleme (Ein überblick)

Zusammenfassung Es wird ein überblick über die wichtigsten in der Literatur beschriebenen heuristischen Verfahren zur Lösung allgemeiner ganzzahliger Optimierungsprobleme gegeben.

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Summary The paper presents a survey of the most important heuristic solution methods for general integer programming problems.

     

Ein nichtd-separabler linearer Unterraum einesd-separablen tonnelierten Raumes

Ohne Zusammenfassung     

Ein verallgemeinerter Gewichtstest mit Anwendungen auf Baumpräsentationen

Ohne Zusammenfassung     

Ein verallgemeinerter Widerlegungsbegriff für Gentzenkalküle

Ohne Zusammenfassung     

The existence and approximation of extremal solutions to several first-order discontinuous dynamic equations with nonlinear boundary value conditions

The goal of this paper is to give a general view of some different kinds of weak first-order discontinuous boundary value problems on an arbitrary time scale with nonlinear functional boundary value conditions.     

Stable cycles in a Cournot duopoly model of Kopel

We consider a discrete map proposed by M. Kopel that models a nonlinear Cournot duopoly consisting of a market structure between the two opposite cases of monopoly and competition. The stability of the fixed points of the discrete dynamical system is analyzed. Synchronization of two dynamics parameters of the Cournot duopoly is considered in the computation of stability boundaries formed by parts of codim-1 bifurcation curves. We discover more on the dynamics of the map by computing numerically the critical normal form coefficients of all codim-1 and codim-2 bifurcation points and computing the associated two-parameter codim-1 curves rooted in some codim-2 points. It enables us to compute the stability domains of the low-order iterates of the map. We concentrate in particular on the second, third and fourth iterates and their relation to the period doubling, 1:3 and 1:4 resonant Neimark–Sacker points.     

Multiple positive solutions of singular Dirichlet problems on time scales via variational methods

This paper is devoted to using variational techniques and critical point theory to derive some sufficient conditions for the existence of multiple positive solutions to a singular second order dynamic equation with homogeneous Dirichlet boundary conditions.     

Existence of non-zero solutions for a nonlinear system with a parameter

In this paper, the existence of solutions for a system of nonlinear equations is considered. 2ⁿ$2^n$ non-zero real solutions are obtained by using the critical point theory. Some known results are improved.     

Ein nichtlinears,Schwingungsproblem mit gemischter linearer Randbedingung

Ohne Zusammenfassung     

Qualitative behavior of a rational recursive sequence

In this paper we study the behavior of the recursive sequence

     

Periodic solution of a delayed ratio-dependent predator–prey model with monotonic functional response and impulse

In this paper, a delayed ratio-dependent predator–prey model with monotonic functional response and impulse is investigated. By using the continuation theorem of coincidence degree theory, an easily verifiable sufficient condition for the existence of at least one positive periodic solution is established. In particular, our results generalize some known criteria.     

Oscillatory criteria for Third-Order difference equation with impulses

In this paper, we investigate the oscillation of Third-order difference equation with impulses. Some sufficient conditions for the oscillatory behavior of the solutions of Third-order impulsive difference equations are obtained.     

Oscillatory properties for three-dimensional dynamic systems

In this paper, we investigate oscillation and asymptotic properties for three-dimensional systems of dynamic equations.