A note on oscillation and nonoscillation criteria for fourth order linear differential equations
A note on periodic solutions of functional differential equations.
A note on rapid convergence of approximate solutions for second order periodic boundary value problems
In this paper, we develop a generalized quasilinearization technique for a nonlinear second order periodic boundary value problem and obtain a sequence of approximate solutions converging uniformly and quadratically to a solution of the problem. Then we improve the convergence of the sequence of approximate solutions by establishing the convergence of order
A note on some characterization of invariant zeros in singular systems and algebraic criteria of nondegeneracy
The question how the classical definition of the Smith zeros of an LTI continuous-time singular control system can be generalized and related to state-space methods is discussed. The zeros are defined as those complex numbers for which there exists a zero direction with a nonzero state-zero direction. Such a definition allows an infinite number of zeros (then the system is called degenerate). A sufficient and necessary condition for nondegeneracy is formulated. Moreover, some characterization of...
A Note on Strict Solutions to Semilinear Evolution Equations.
A note on the boundary curves of second order nonlinear differential equations
A Note on the Covergence of Solutions of a System of Differential Equations. (Short Communication).
A Note on the Covergence of Solutions of a System of Differential Equations.
A note on the criteria of uniqueness of the solution of equation
A note on the differential equation
A note on the existence of -bounded solutions for a system of differential equations on .
A note on the OD-QSSA and Bohl-Marek methods applied to a class of mathematical models
The complex (bio)chemical reaction systems, frequently possess fast/slow phenomena, represent both difficulties and challenges for numerical simulation. We develop and test an enhancement of the classical QSSA (quasi-steady-state approximation) model reduction method applied to a system of chemical reactions. The novel model reduction method, the so-called delayed quasi-steady-state approximation method, proposed by Vejchodský (2014) and further developed by Papáček (2021) and Matonoha (2022), is...
A note on the oscillation of second order differential equations
We give a sufficient condition for the oscillation of linear homogeneous second order differential equation , where and is positive real number.
A note on the oscillation of solutions of periodic linear differential equations
A note on the oscillation of solutions of the differential equation with an almost periodic coefficient
A note on the reducibility of linear differential equations with quasiperiodic coefficients.
A note on the semi-inverse approach to oscillation theory for ordinary second-order linear differential equations
A note on the solutions of a second-order evolution inclusion in non separable Banach spaces
We consider a Cauchy problem associated to a second-order evolution inclusion in non separable Banach spaces under Filippov type assumptions and we prove the existence of mild solutions.
A note on uniqueness of Cauchy problems associated to planar Hamiltonian systems.
A note to a certain nonlinear differential equation of the third-order