On a boundary value problem of the fourth order
On a Classical Nicoletti Boundary Value Problem.
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 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 successive approximation method of solving the Cauchy problem for systems of generalized ordinary differential equations.
On Approximate Solutions of Differential Equations in Banach Spaces.
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 computer-aided solving differential equations and stability study of markets.
On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions
We consider the existence of extremal solutions to second order discontinuous implicit ordinary differential equations with discontinuous implicit boundary conditions in ordered Banach spaces. We also study the dependence of these solutions on the data, and cases when the extremal solutions are obtained as limits of successive approximations. Examples are given to demonstrate the applicability of the method developed in this paper.
On singular solutions of linear functional differential equations with negative coefficients.
On solving systems of differential algebraic equations
In the paper the comparison method is used to prove the convergence of the Picard iterations, the Seidel iterations, as well as some modifications of these methods applied to approximate solution of systems of differential algebraic equations. The both linear and nonlinear comparison equations are emloyed.
On some non-local problems of the theory of elasticity.
On successive approximation for solving the Cauchy problem for a system of linear generalized ordinary differential equations.
On the application of the theory of uniform distribution to the solution of differential equations. (Über die Anwendung der Theorie der Gleichverteilung auf die Lösung von Differentialgleichungen.)
On the approximate values of an implicitly given function
On the existence and uniqueness of periodic solutions for difference equations of second order
On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate
In this paper explicit expressions for solutions of Cauchy problems and two-point boundary value problems concerned with the generalized Riccati matrix differential equation are given. These explicit expressions are computable in terms of the data and solutions of certain algebraic Riccati equations related to the problem. The interplay between the algebraic and the differential problems is used in order to obtain approximate solutions of the differential problem in terms of those of the algebraic...
On the leading correction of the Thomas-Fermi model: Lower bound.
On the reduction method versus the stability of ordinary linear differential equations with unknown coefficients.