On centers of cubic systems
On centers of type of polynomial systems
On certain comparison theorems for half-linear dynamic equations on time scales.
On certain properties of linear iterative equations
An expression for the coefficients of a linear iterative equation in terms of the parameters of the source equation is given both for equations in standard form and for equations in reduced normal form. The operator that generates an iterative equation of a general order in reduced normal form is also obtained and some other properties of iterative equations are established. An expression for the parameters of the source equation of the transformed equation under equivalence transformations is obtained,...
On certain properties of the solutions of a nonlinear differential equation of the second order
On certain singular third order eigenvalue problem
In this paper a singular third order eigenvalue problem is studied. The results of the paper complete the results given in the papers [3], [5].
On certain third order eigenvalue problem
On computer-aided solving differential equations and stability study of markets.
On conditioning of Schur complements of H-TFETI clusters for 2D problems governed by Laplacian
Bounds on the spectrum of the Schur complements of subdomain stiffness matrices with respect to the interior variables are key ingredients in the analysis of many domain decomposition methods. Here we are interested in the analysis of floating clusters, i.e. subdomains without prescribed Dirichlet conditions that are decomposed into still smaller subdomains glued on primal level in some nodes and/or by some averages. We give the estimates of the regular condition number of the Schur complements...
On conjugacy functions of second-order linear differential equations
On conjugacy of high-order linear ordinary differential equations.
On conjugate points of solutions of non-selfadjoint differential systems
On connecting orbits of semilinear parabolic equations on .
On critical points for noncoercive functionals and subharmonic solutions of some Hamiltonian systems.
On differential equations in normal form.
On distance between zeros of solutions of third order differential equations
The lower bounds of the spacings b-a or a’-a of two consecutive zeros or three consecutive zeros of solutions of third order differential equations of the form y”’ + q(t)y’ + p(t)y = 0 (*) are derived under very general assumptions on p and q. These results are then used to show that or as n → ∞ under suitable assumptions on p and q, where ⟨tₙ⟩ is a sequence of zeros of an oscillatory solution of (*). The Opial-type inequalities are used to derive lower bounds of the spacings d-a or b-d for...
On distribution of zeros of solutions of the differential equation
On equation on the line
On equation of finite type, 1-special, with the same central dispersion of the first kind
On Existence and Asymptotic Properties of Kneser Solutions to Singular Second Order ODE.
We investigate an asymptotic behaviour of damped non-oscillatory solutions of the initial value problem with a time singularity , , on the unbounded domain . Function is locally Lipschitz continuous on and has at least three zeros , and . The initial value . Function is continuous on has a positive continuous derivative on and . Asymptotic formulas for damped non-oscillatory solutions and their first derivatives are derived under some additional assumptions. Further, we provide...