Local superconvergence analysis of the approximate boundary-flux calculation
Localization of nonsmooth lower and upper functions for periodic boundary value problems
In this paper we present conditions ensuring the existence and localization of lower and upper functions of the periodic boundary value problem , , , , These functions are constructed as solutions of some related generalized linear problems and can be nonsmooth in general.
Localization of periodic orbits of autonomous systems based on high-order extremum conditions.
Localized radial solutions for a nonlinear -Laplacian equation in .
Localized solutions of elliptic equations: loitering at the hilltop.
Logarithmic derivatives of solutions of disconjugate differential equations
Logistic equation on measure chains
Logistic equations in tumour growth modelling
The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the reaction term is also considered. Some mathematical properties of the presented models are studied in...
Long term behavior of solutions for Riccati initial-value problems.
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.
Louis Nirenberg and Klaus Schmitt: the joy of differential equations.
Lower and upper bounds for the splitting of separatrices of a pendulum under a fast quasiperiodic forcing.
Lower bounds and positivity conditions for Green's functions to second order differential-delay equations.
Lower bounds for eigenvalues of the one-dimensional -Laplacian.
Lower Norm Estimates for Approximate Solutions of Differential Equations with Non-Smooth Coefficients.
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.