O diferenciální rovnici
O některých nelineárních diferenciálních rovnicích třetího řádu
On a certain nonlinear problem for two-dimensional differential systems
On a class of fourth order half-linear differential equations
On a class of second order ODE with a typical degenerate nonlinearity.
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 Kneser problem for a system of nonlinear ordinary differential equations
On a nonlinear ordinary differential equation
On a structure of the intersection of the set of dispersions of two second-order linear differential equations
On a theorem of Browder
On a vector multipoint boundary value problem
On an optimal setting of constant delays for the D-QSSA model reduction method applied to a class of chemical reaction networks
We develop and test a relatively simple enhancement of the classical model reduction method applied to a class of chemical networks with mass conservation properties. Both the methods, being (i) the standard quasi-steady-state approximation method, and (ii) the novel so-called delayed quasi-steady-state approximation method, firstly proposed by Vejchodský (2014), are extensively presented. Both theoretical and numerical issues related to the setting of delays are discussed. Namely, for one slightly...
On behavior of solutions of nonlinear differential equations in Hilbert space. II.
On bounded solutions of a linear differential equation with a nonlinear perturbation
On bounded solutions of nonlinear ordinary differential equations
On boundedness and stability of solutions of nonlinear second order differential equations in Hilbert spaces
On consistency, stability and convergence of staggered solution procedures
The simultaneous and staggered procedures of solving a partitioned form of a coupled system of ordinary differential equations are presented. Formulas for errors are compared. Counter-examples for convergence with a constant number of iterations at each time step are given.
On difference schemes for quasilinear evolution problems.
On existence of Kneser solutions of a certain class of -th order nonlinear differential equations
The paper deals with existence of Kneser solutions of -th order nonlinear differential equations with quasi-derivatives.
On extremal solutions to infinite dimensional non-linear second order systems