Logarithmic derivatives of solutions of disconjugate differential equations
Logistic equation on measure chains
Lösung von Differentialgleichungen mit Splinefunktionen. Eine Störungstheorie. Tei 1: Divergenzaussagen.
Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species
The paper deals with two mathematical models of predator-prey type where a transmissible disease spreads among the predator species only. The proposed models are analyzed and compared in order to assess the influence of hidden and explicit alternative resource for predator. The analysis shows boundedness as well as local stability and transcritical bifurcations for equilibria of systems. Numerical simulations support our theoretical analysis.
Lower semicontinuous differential inclusions
In the paper we consider lower semicontinuous differential inclusions with one sided Lipschitz and compact valued right hand side in a Banach space with uniformly convex dual. We examine the nonemptiness and some qualitative properties of the solution set.
Lower semicontinuous differential inclusions. One-sided Lipschitz approach
Some properties of differential inclusions with lower semicontinuous right-hand side are considered. Our essential assumption is the one-sided Lipschitz condition introduced in [4]. Using the main idea of [10], we extend the well known relaxation theorem, stating that the solution set of the original problem is dense in the solution set of the relaxed one, under assumptions essentially weaker than those in the literature. Applications in optimal control are given.
Lower semicontinuous differential inclusions with state constrains.
Lp-Perturbations of Second Order Linear Differential Equations.
Lyapunov functions for linear nonautonomous dynamical equations on time scales.
Lyapunov inequalities for time scales.
Lyapunov stability of closed sets in impulsive semidynamical systems.
Lyapunov stability of quasilinear implicit dynamic equations on time scales.
Lyapunov type integral inequalities for certain differential equations.
Mathematical description of program diagram
Mathematical description of the phase transition curve near the critical point
In this paper, by applying a simple mathematical model imitating the equation of state, behaviour of the phase transition curve near the critical point is investigated. The problem of finding the unique vapour-liquid equilibrium curve passing through the critical point is reduced to solving a nonlinear system of differential equations.
Mathematical Models of Dividing Cell Populations: Application to CFSE Data
Flow cytometric analysis using intracellular dyes such as CFSE is a powerful experimental tool which can be used in conjunction with mathematical modeling to quantify the dynamic behavior of a population of lymphocytes. In this survey we begin by providing an overview of the mathematically relevant aspects of the data collection procedure. We then present an overview of the large body of mathematical models, along with their assumptions and uses,...
Matrix exponentials and inversion of confluent Vandermonde matrices.
Maximum principles and uniqueness results of phi-Laplacian boundary value problems.
Mean value theorems for linear and semi-linear rotation invariant operators
Mean-periodic operational calculi
Elements of operational calculi for mean-periodic functions with respect to a given linear functional in the space of continuous functions are developed. Application for explicit determining of such solutions of linear ordinary differential equations with constant coefficients is given.