The paper introduces and studies differentially positive systems, that is, systems whose
linearization along an arbitrary trajectory is positive. A generalization of Perron-Frobenius …

We investigate the existence, uniqueness and Gaussian curvature of the invariant carrying
simplices of 3 species autonomous totally competitive Lotka–Volterra systems. Explicit …

We consider a class of square MIMO transfer functions that map a proper cone in the space
of L2 input signals to the same cone in the space of output signals. Transfer functions in this …

В современной прикладной математике интенсивно развиваются спектральные и
алгебраические методы исследования динамических систем, основанные на …

The method of oriented manifolds is developed to study geometric properties of the sets of
trajectories of nonlinear differential systems with control. This method is conceptually …

Recently, Horváth et al.(Appl Math Comput, submitted) proposed a novel unified approach to
study, ie, invariance conditions, sufficient and necessary conditions, under which some …

In this paper, we propose a novel, simple, and unified approach to explore sufficient and
necessary conditions, ie, invariance conditions, under which four classic families of convex …

The paper is devoted to working out new methods for stability analysis of equilibrium states
of nonlinear dynamic systems in a partially ordered space. The concerned classes of …

In this paper, we propose a novel, unified, general approach to investigate sufficient and
necessary conditions under which four types of convex sets, polyhedra, polyhedral cones …

ON THE THEORY OF STABILITY OF MOTION OF A NONLINEAR SYSTEM ON A TIME
SCALE Page 1 Ukrainian Mathematical Journal, Vol. 60, No. 6, 2008 ON THE THEORY OF …