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     

Ein nichtlinears,Schwingungsproblem mit gemischter linearer Randbedingung

Ohne Zusammenfassung     

Oscillatory properties for three-dimensional dynamic systems

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

First order difference equations with maxima and nonlinear functional boundary value conditions

This paper is devoted to the existence of solutions for a problem of first order difference equations with maxima and with nonlinear functional boundary value conditions. Such boundary conditions include, among others, initial, periodic, antiperiodic and multipoint boundary value conditions, as particular cases.     

Basic qualitative and quantitative results for solutions to nonlinear,dynamic equations on time scales with an application to economic modelling

This article investigates both basic qualitative and basic quantitative properties of solutions to first- and higher-order dynamic equations on time scales and thus provides a foundation and framework for future advanced nonlinear studies in the field. Particular focus lies in the: existence; uniqueness; dependency; approximation; and explicit representation, of solutions to nonlinear initial value problems. The main tools used are from modern areas of nonlinear analysis, including: the fixed-point theorems of Banach and Schäfer; the method of successive approximations; a novel definition of measuring distance in metric spaces and normed spaces; and a “separation” of variables technique is introduced to the general time scale setting.     

Eigenvalue comparisons for second order difference equations with Neumann boundary conditions

The boundary value problem for second order difference equation

     

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.     

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.     

Applying carvalho's method to find periodic solutions of difference equations

In this paper we apply the method initially developed in [1] for differential-difference equations, to the case of difference equations, in order to find 2 and 3-periodic solutions of some equations that often appear in the literatures as are for instance the case of Applications 2,5 which are examples of population growth models, and Application 4, which is a standard example of nonlinear higher order scalar difference equation depending on two parameters (see, Kocik and Ladas [3]).     

Qualitative behavior of a rational recursive sequence

In this paper we study the behavior of the recursive sequence

     

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.