Tests for disconjugacy and strict disconjugacy of linear differential equations with delays
The asymptotic solution of higher-order differential equations with small final coefficient
The bang-bang principle for a class of uncertain evolution linear differential [equations] in Hilbert spaces.
This paper deals with the problem of time-varying differential systems when unmodeled dynamics is present. The questions related to when unmodeled dynamics (in fact when parametrical and order errors) does not affect for problems like controllability and related ones with respect to the foreseen results for a correct modelling are investigated for a wide class of typical situations. The presented results seem to be of interest in Physics when modelling uncertainties are present. Only the linear...
The basic properties of phase matrices of linear differential systems
The Central Connection Problem at Turning Points of Linear Differential Equations
The characteristic multipliers of a block and of an inverse block of second-order linear differential equations with -periodic coefficients
The effect of infinitesimal damping on the dynamic instability mechanism of conservative systems.
The Equivalence Of Certain Linear And Nonlinear Differential Equations Of N-th Order
The first, the second, and the third Liouville formula and periodical solutions of linear differential equation of the second order
The generalised ellipsoidal wave equation [0,3,11].
Explicit solutions are obtained of the linear differential equation of the second order with three regular singularities and one irregular singularity of the first type. The behavior at the point at infinity is discussed. An important special case is an algebraic form of the ellipsoidal wave equation.
The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension
The differential-geometric and topological structure of Delsarte transmutation operators and their associated Gelfand-Levitan-Marchenko type eqautions are studied along with classical Dirac type operator and its multidimensional affine extension, related with selfdual Yang-Mills eqautions. The construction of soliton-like solutions to the related set of nonlinear dynamical system is discussed.
The inverse carrier problem
The problem was motivated by Borůvka’s definitions of the carrier and the associated carrier. The inverse carrier problem is precisely defined and partially solved. Examples are given.
The linear Cauchy problem for a class of differential equations with distributional coefficients.
The Massera-Schäffer problem for a first order linear differential equation
We consider the Massera-Schäffer problem for the equation where and By...
The method of normal splines for linear implicit differential equations of second order.
The method of solution of the boundary value problem applied to a certain fourth order differential equation
The most general transformation of homogeneous retarded linear differential equations of the -th order
The oscillation of linear first order differential systems.
The relationship between the infinite eigenvalue assignment for singular systems and the solvability of polynomial matrix equations
Two related problems, namely the problem of the infinite eigenvalue assignment and that of the solvability of polynomial matrix equations are considered. Necessary and sufficient conditions for the existence of solutions to both the problems are established. The relationships between the problems are discussed and some applications from the field of the perfect observer design for singular linear systems are presented.
The Sturm comparison theorem for -conjugate numbers