Note sur une classe d'équations différentielles
Notes on the Fučík spectrum and the mixed boundary value problem
The paper is devoted to the study of the properties of the Fučík spectrum. In the first part, we analyse the Fučík spectra of the problems with one second order ordinary differential equation with Dirichlet, Neumann and mixed boundary conditions and we present the explicit form of nontrivial solutions. Then, we discuss the problem with two second order differential equations with mixed boundary conditions. We show the relation between the Dirichlet boundary value problem and mixed boundary value...
Numerical solution of initial and singularly perturbed two-point boundary value problems using adaptive spline function approximation.
Numerical solutions of nonstandard first order initial value problems.
Numerical solutions of ordinary differential equations with quadratic trigonometric splines.
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