On asymptotic behaviour of central dispersions of linear differential equations of the second order
On asymptotic behaviour of oscillatory solutions for fourth order differential equations.
On asymptotic integrations of
On asymptotic properties of central dispersions of the -th kind of ,
On asymptotics of discrete Mittag-Leffler function
The (modified) two-parametric Mittag-Leffler function plays an essential role in solving the so-called fractional differential equations. Its asymptotics is known (at least for a subset of its domain and special choices of the parameters). The aim of the paper is to introduce a discrete analogue of this function as a solution of a certain two-term linear fractional difference equation (involving both the Riemann-Liouville as well as the Caputo fractional -difference operators) and describe its...
On behavior of solutions of nonlinear differential equations in Hilbert space. II.
On boundary value problems for second-order discrete inclusions.
On boundary value problems of periodic type for ordinary odd order differential equations
On boundary value problems of second order differential inclusions
This paper presents sufficient conditions for the existence of solutions to boundary-value problems of second order multi-valued differential inclusions. The existence of extremal solutions is also obtained under certain monotonicity conditions.
On boundary-value problems for higher-order differential inclusions.
On bounded solutions of a linear differential equation with a nonlinear perturbation
On bounded solutions of nonlinear ordinary differential equations
On bounded time-dependent perturbations of operator cosine functions.
On boundedness and stability of solutions of nonlinear second order differential equations in Hilbert spaces
On Cauchy problemsfor fuzzydifferential equations.
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 Soloutions of Second-Order Linear Differential Equations.
On characterization of the solution set in case of generalized semiflow
In the paper, a possible characterization of a chaotic behavior for the generalized semiflows in finite time is presented. As a main result, it is proven that under specific conditions there is at least one trajectory of generalized semiflow, which lies inside an arbitrary covering of the solution set. The trajectory mutually connects each subset of the covering. A connection with symbolic dynamical systems is mentioned and a possible numerical method of analysis of dynamical behavior is outlined....
On Clenshaws's Method and a Generalisation to Faber Series.
On complete solutions and complete singular solutions of second order ordinary differential equations
A complete solution of an implicit second order ordinary differential equation is defined by an immersive two-parameter family of geometric solutions on the equation hypersurface. We show that a completely integrable equation is either of Clairaut type or of first order type. Moreover, we define a complete singular solution, an immersive one-parameter family of singular solutions on the contact singular set. We give conditions for existence of a complete solution and a complete singular solution...