ordinary differential 
The suggested mathematical model of nucleate boiling based on a set of ordinary differential equations describes the spacetime distribution of wall superheating for a given heat flux density.


The twodimensional magnetohydrodynamic model is based on the method of trajectories, according to which a set of partial equations is reduced to a set of ordinary differential equations written for derivatives along the lines of current.


Numerical simulations of the oscillating regimes of the nitrogen trichloride selfignition in a closed volume are carried out using a onedimensional system of ordinary differential equations (ODE).


Trace formulas for higher order ordinary differential operators


Vitt on the stability of the periodic motions of autonomous systems described by ordinary differential equations to autonomous timelag systems.


On the theory of linear systems of ordinary differential equations


In the case of an ordinary differential equation, the solution of the difference equation is shown to converge uniformly with respect to the small parameter.


A result is proved concerning the existence of periodic solutions of a system with delay; this theorem is new for ordinary differential equations.


Properties of solutions of certain twodimensional nonlinear systems of ordinary differential equations on and outside a stable


A criterion for the oscillation of solutions of secondorder ordinary differential equations


The results obtained are new for ordinary differential equations.


Bilateral difference method for solving the boundary value problem for an ordinary differential equation


New sufficient conditions for a firstorder ordinary differential equation in an infinite Banach space to be locally solvable and for the solution to depend continuously on a parameter are obtained.


On a Knesertype problem for a system of ordinary differential equations


We establish sufficient conditions for the solvability of a Knesertype problem concerning the existence of a monotonic solution of a system of ordinary differential equations satisfying an initial condition.


In this paper we study a system of ordinary differential equations with a small parameter in the neighborhood of a fixed solution.


Let x=A(t)x be a system of two linear ordinary differential equations with almost periodic coefficients.


Multiplicity of the spectrum of a selfadjoint ordinary differential operator of odd order


A bound is obtained for the multiplicity of the spectrum of the selfadjoint operator generated by a singular ordinary differential operator? of odd order in the Hubert space ?2 in terms of solutions of the differential equation?[y]=λy.


In a neighborhood of a fixed point we consider an autonomous analytic system of ordinary differential equations.

