On a certain transformation of the solution set of two linear second order differential equations
On a class of fourth order half-linear differential equations
On a class of functional differential equations in Banach spaces.
On a class of linear -th order differential equations
On a class of linear ordinary differential equations having and as solutions.
On a class of second order ODE with a typical degenerate nonlinearity.
On a class of systems of differential equations and on retarded equations.
On a class of univalent functions defined by Sălăgean differential operator.
On a Classical Nicoletti Boundary Value Problem.
On a coincidence of central dispersions of the first and second kind in connection with periodic solutions of the differential equation
On a coincidence of the differential equation with its associated equation
On a differential-algebraic problem
The method of quasilinearization is a procedure for obtaining approximate solutions of differential equations. In this paper, this technique is applied to a differential-algebraic problem. Under some natural assumptions, monotone sequences converge quadratically to a unique solution of our problem.
On a distribution of zeros of solutions of a fourth-order iterated linear differential equation
On a distribution of zeros of solutions of an iterated differential equation of the -th order
On a fundamental central dispersion of the first kind and the Abel functional equation in strongly regular spaces of continuous functions
On a Generalized Linear Boundary Value Problem
On a higher-order evolution equation with a Stepanov-bounded solution.
On a hybrid finite-volume-particle method
We present a hybrid finite-volume-particle numerical method for computing the transport of a passive pollutant by a flow. The flow is modeled by the one- and two-dimensional Saint-Venant system of shallow water equations and the pollutant propagation is described by a transport equation. This paper is an extension of our previous work [Chertock, Kurganov and Petrova, J. Sci. Comput. (to appear)], where the one-dimensional finite-volume-particle method has been proposed. The core idea behind the...
On a hybrid finite-volume-particle method
We present a hybrid finite-volume-particle numerical method for computing the transport of a passive pollutant by a flow. The flow is modeled by the one- and two-dimensional Saint-Venant system of shallow water equations and the pollutant propagation is described by a transport equation. This paper is an extension of our previous work [Chertock, Kurganov and Petrova, J. Sci. Comput. (to appear)], where the one-dimensional finite-volume-particle method has been proposed. The core idea behind the...
On a Kneser problem for a system of nonlinear ordinary differential equations