Browsing Ústav matematiky by Issue Date
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Asymptotic convergence of the solutions of a dynamic equation on discrete time scales
(Hindawi, 20120103)It is proved that, for the asymptotic convergence of all solutions, the existence of an increasing and asymptotically convergent solution is sufficient. Therefore, the main attention is paid to the criteria for the existence ... 
Solving certain classes of LaneEmden type equations using differential transformation method
(Springer Nature, 20121005)In this paper, differential transformation method (DTM) is applied to solve singular initial problems represented by certain classes of LaneEmden type equations. Some new differential tranformation formulas for certain ... 
Stabilization of Luretype Nonlinear Control Systems by LyapunovKrasovskii Functionals
(Springer Nature, 20121024)The paper deals with the stabilization problem of Luretype nonlinear indirect control systems with timedelay argument. The sufficient conditions for absolute stability of the control system are established in the form ... 
Bounded solutions of delay dynamic equations on time scales
(Springer Nature, 20121024)In this paper we discuss the asymptotic behavior of solutions of a delay dynamic equation $$y^{\Delta}(t)=f(t,y(\tau(t)))$$ where $f\colon\mathbb{T}\times\mathbb{R}\rightarrow\mathbb{R}$, \tau\colon\T\rightarrow \T$ is a ... 
An efficient new perturbative Laplace method for spacetime fractional telegraph equations
(Springer Nature, 20121127)In this paper, we propose a new technique for solving spacetime fractional telegraph equations. This method isbased on perturbation theory and the Laplace transformation. 
Singular Initial Value Problem for a System of IntegroDifferential Equations
(Hindawi, 20121212)Analytical properties like existence, uniqueness, and asymptotic behavior of solutions are studied for the singular initial value problem. An approach which combines topological method of T. Wazewski and Schauders fixed ... 
On a delay population model with quadratic nonlinearity
(Springer Nature, 20121228)In this paper, a nonlinear delay differential equation with quadratic nonlinearity is investigated. It is proved that the positive equilibrium is globally asymptotically stable without any further limitations on parameters ... 
Explicit general solution of planar linear discrete systems with constant coefficients and weak delays
(Springer Nature, 20130306)In this paper, planar linear discrete systems with constant coefficients and two delays $$ x(k+1)=Ax(k)+Bx(km)+Cx(kn) $$ are considered where $k\in\bZ_0^{\infty}:=\{0,1,\dots,\infty\}$, $x\colon \bZ_0^{\infty}\to\mathbb{R}^2$, ... 
Representation of a solution of the Cauchy problem for an oscillating system with multiple delays and pairwise permutable matrices
(Hindawi, 20130501)Nonhomogeneous system of linear differential equations of second order with multiple different delays and pairwise permutable matrices defining the linear parts is considered. Solution of corresponding initial value problem ... 
Discrete matrix delayed exponential for two delays and its property
(Springer Nature, 20130613)In recent papers, a discrete matrix delayed exponential for a single delay was defined and its main property connected with the solution of linear discrete systems with a single delay was proved. In the present paper, a ... 
Modeling of applied problems by stochastic systems and their analysis using the moment equations
(Springer Nature, 20131009)The paper deals with systems of linear differential equations with coefficients depending on the Markov process. Equations for particular density and the moment equations for given systems are derived and used in the ... 
Heat Transfer Analysis on the Hiemenz Flow of a NonNewtonian Fluid: A Homotopy Method Solution
(Hindawi, 20131015)The mathematical model for the incompressible twodimensional/axisymmetric nonNewtonian fluid flows and heat transfer analysis is presented. 
NewtonKantorovich convergence theorem of a new modified Halleys method family in a Banach space
(Springer, 20131112)A NewtonKantorovich convergence theorem of a new modified Halleys method family is established in a Banach space to solve nonlinear operator equations 
Lower and upper estimates of solutions to systems of delay dynamic equations on time scales
(Springer, 20131127)In this paper we study a system of delay dynamic equations on the time scale $\T$ of the form $$y^{\Delta}(t)=f(t,y_{\tau}(t)),$$ where $f\colon\mathbb{T}\times\mathbb{R}^n\rightarrow\mathbb{R}^n$, $y_\tau(t)=(y_1(\tau_ ... 
NewtonKantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces
(Hindawi, 20131202)NewtonKantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the thirdorder convergence is established in a Banach space for solving nonlinear equations. The error estimate is ... 
Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations
(Hindawi, 20131209)The paper is devoted to the study of the solvability of a singular initial value problem for systems of ordinary differential equations. The main results give sufficient conditions for the existence of solutions in the ... 
Persistence of periodic orbits in periodically forced impact systems
(De Gruyter Open, 20140201)This paper is devoted to the study of persistence of forced periodic solutions for impact systems from single periodic solutions of unperturbed impact equations. An example of planar discontinuous ordinary differential ... 
A novel iterative scheme and its application to differential equations
(Hindawi, 20140220)The purpose of this paper is to employ an alternative approach to reconstruct the standard variational iteration algorithm II proposed by He, including Lagrange multiplier, and to give a simpler formulation of Adomian ... 
General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions
(Hindawi, 20140429)Planar linear discrete systems with constant coefficients and delays are considered. It is assumed that the considered system is weakly delayed. The characteristic equations of such systems are identical with those for the ... 
Application of Stochastic DifferentialAlgebraic Equations in Hybrid MTL Systems Analysis
(Kaunas University of Technology, 20140501)The paper deals with the application of stochastic differentialalgebraic equations (SDAE) in the field of the timedomain simulation of hybrid (lumped/distributed) systems with randomly varying parameters. A core of the ...