Integral equations with contrasting kernels.
Integral Manifolds and Bounded Solutions of Singularly Perturbed Systems of Impulsive Differential Equations
Sufficient conditions for the existence of bounded solutions of singularly perturbed impulsive differential equations are obtained. For this purpose integral manifolds are used.
Integral Manifolds and Perturbations of the Nonlinear Part of Systems of Autonomous Differential Equations with Impulses at Fixed Moments
* This investigation was supported by the Bulgarian Ministry of Science and Education under Grant MM-7.Sufficient conditions are obtained for the existence of local integral manifolds of autonomous systems of differential equations with impulses at fixed moments. In case of perturbations of the nonlinear part an estimate of the difference between the manifolds is obtained.
Integral manifolds of impulsive differential equations.
Integral Perturbations of Nonlinear Systems of Differential Equations
Internal properness and stability in linear systems
Invariant manifolds and almost automorphic solutions of second-order monotone equations
Investigation of stability on nonlinear oscilations with one degree of freedom
Jacobische Differentialgleichung mit hyperbolischen Phasen die der primitiven Funktion zur Quadratwurzel aus ihrem Träger gleich sind
K problému odezvy atmosféry na malé vnější perturbace
Kinetical systems
The aim of the paper is to give some preliminary information concerning a class of nonlinear differential equations often used in physical chemistry and biology. Such systems are often very large and it is well known that where studying properties of such systems difficulties rapidly increase with their dimension. One way how to get over the difficulties is to use special forms of such systems.
Kinetical systems—local analysis
The paper gives the answer to the question of the number and qualitative character of stationary points of an autonomous detailed balanced kinetical system.
Lagrangian stability of a class of second-order periodic systems.
Large time behavior of solutions to second-order differential equations with -Laplacian.
Legendre's differential equation and its Hyers-Ulam stability.
Liapunov exponents for higher-order linear differential equations whose characteristic equations have variable real roots.
Liapunov Functions and Error Bounds for Approximate Solutions of Ordinary Differential Equations.
Limit behavior of solutions of ordinary linear differential equations.
Limit Circle Results for Second Order Equations.
Limit cycles in the Holling-Tanner model.
This paper deals with the following question: does the asymptotic stability of the positive equilibrium of the Holling-Tanner model imply it is also globally stable? We will show that the answer to this question is negative. The main tool we use is the computation of Poincaré-Lyapunov constants in case a weak focus occurs. In this way we are able to construct an example with two limit cycles.