Local method of nonlinear analysis
Local models of the greatest characteristic exponent of differential equations depending on parameters
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.