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.
Ordinary differential equations with nonlinear boundary conditions.
Parallel method for initial value problems for linear ordinary differential equations: speed up estimation
Periodic solutions for third order ordinary differential equations.
Periodical solutions of some differential equations with small parameter
Positive solutions for a class of singular two point boundary value problems.
Positive solutions for an m-point boundary-value problem.
Positive solutions of singular multipoint boundary value problems for systems of nonlinear second-order differential equations on infinite intervals in Banach spaces.
Poznámka o postupných aproximacích řešení obyčejné diferenciální rovnice