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
On a Least-Squares Collocation Method for Linear Differential-Algebraic Equations.
On a method of construction of the solution of a multipoint boundary value problem for a system of generalized ordinary differential equations.
On a new reliable algorithm.
On a new set of orthogonal polynomials
An orthogonal system of polynomials, arising from a second-order ordinary differential equation, is presented.
On a nonconvex boundary value problem for a first order multivalued differential system
We consider a boundary value problem for first order nonconvex differential inclusion and we obtain some existence results by using the set-valued contraction principle.
On a nonlinear fractional order differential inclusion.
On a nonlinear ordinary differential equation
On a nonlinear problem for third-order differential equations