• On a delay population model with quadratic nonlinearity 

  Berezansky, Leonid; Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk (Springer Nature, 2012-12-28)

  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 

  Diblík, Josef; Halfarová, Hana (Springer Nature, 2013-03-06)

  In this paper, planar linear discrete systems with constant coefficients and two delays $$ x(k+1)=Ax(k)+Bx(k-m)+Cx(k-n) $$ are considered where $k\in\bZ_0^{\infty}:=\{0,1,\dots,\infty\}$, $x\colon \bZ_0^{\infty}\to\mathbb{R}^2$, ...

• Discrete matrix delayed exponential for two delays and its property 

  Diblík, Josef; Morávková, Blanka (Springer Nature, 2013-06-13)

  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 

  Diblík, Josef; Dzhalladova, Irada; Michalková, Mária; Růžičková, Miroslava (Springer Nature, 2013-10-09)

  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 ...

• An efficient new perturbative Laplace method for space-time fractional telegraph equations 

  Khan, Yasir; Diblík, Josef; Faraz, Naeem; Šmarda, Zdeněk (Springer Nature, 2012-11-27)

  In this paper, we propose a new technique for solving space-time fractional telegraph equations. This method isbased on perturbation theory and the Laplace transformation.

• Solving certain classes of Lane-Emden type equations using differential transformation method 

  Khan, Yasir; Svoboda, Zdeněk; Šmarda, Zdeněk (Springer Nature, 2012-10-05)

  In this paper, differential transformation method (DTM) is applied to solve singular initial problems represented by certain classes of Lane-Emden type equations. Some new differential tranformation formulas for certain ...

• Bounded solutions of delay dynamic equations on time scales 

  Diblík, Josef; Vítovec, Jiří (Springer Nature, 2012-10-24)

  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 ...

• Stabilization of Lure-type Nonlinear Control Systems by Lyapunov-Krasovskii Functionals 

  Shatyrko, Andrej; Diblík, Josef; Khusainov, Denys; Růžičková, Miroslava (Springer Nature, 2012-10-24)

  The paper deals with the stabilization problem of Lure-type nonlinear indirect control systems with time-delay argument. The sufficient conditions for absolute stability of the control system are established in the form ...

• Real-Time Guitar Preamp Simulation Using Modified Blockwise Method and Approximations 

  Mačák, Jaromír; Schimmel, Jiří (Springer Nature, 2011-04-07)

  The designing of algorithms for real-time digital simulation of analog effects and amplifiers brings two contradictory requirements: accuracy versus computational efficiency. In this paper, the simulation of a typical ...

• Goertzel Algorithm Generalized to Non-integer Multiples of Fundamental Frequency 

  Sysel, Petr; Rajmic, Pavel (SpringerOpen, 2012-03-22)

  The paper deals with the Goertzel algorithm, used to establish the modulus and phase of harmonic components of a signal. The advantages of the Goertzel approach over the DFT and the FFT in cases of a few harmonics of ...

• S-SPADE Done Right: Detailed Study of the Sparse Audio Declipper Algorithms 

  Záviška, Pavel; Mokrý, Ondřej; Rajmic, Pavel (2018-09-26)

  This technical report shows and discusses in detail how Sparse Audio Declipper (SPADE) algorithms are (and should be) derived from the signal model using the ADMM approach. The analysis version (A-SPADE) of Kitic et. al. ...

• Orthogonality is superiority in piecewise-polynomial signal segmentation and denoising 

  Novosadová, Michaela; Rajmic, Pavel; Šorel, Michal (Springer Open, 2019-01-25)

  Segmentation and denoising of signals often rely on the polynomial model which assumes that every segment is a polynomial of a certain degree and that the segments are modeled independently of each other. Segment borders ...

• Newton-Kantorovich convergence theorem of a new modified Halleys method family in a Banach space 

  Lin, Rongfei; Zhao, Yueqing; Šmarda, Zdeněk; Wu, Qingbiao; Khan, Yasir (Springer, 2013-11-12)

  A Newton-Kantorovich convergence theorem of a new modified Halleys method family is established in a Banach space to solve nonlinear operator equations

• Stabilization of company’s income modeled by a system of discrete stochastic equations 

  Diblík, Josef; Dzhalladova, Irada; Růžičková, Miroslava (Springer Nature, 2014-11-15)

  The paper deals with a system of difference equations where the coefficients depend on Markov chains. The functional equations for a particular density and the moment equations for the system are derived and used in the ...

• Water-dispersible TiO2 nanoparticles via a biphasic solvothermal reaction method 

  Mohan, Rajneesh; Drbohlavová, Jana; Hubálek, Jaromír (Springer, 2013-12-01)

  A biphasic solvothermal reaction method has been used for the synthesis of TiO2 nanoparticles (NPs). In this method, hydrolysis and nucleation occur at the interface of organic phase (titanium (IV) n-propoxide and stearic acid ...

• Robotic 3D Scanner as an Alternative to Standard Modalities of Medical Imaging 

  Chromý, Adam; Žalud, Luděk (Springer Science and Business Media Deutschland GmbH, 2014-01-06)

  There are special medical cases, where standard medical imaging modalities are able to offer sufficient results, but not in the optimal way. It means, that desired results are produced with unnecessarily high expenses, ...

• Boundedness character of a fourth-order system of difference equations 

  Stevič, Stevo; Iričanin, Bratislav; Šmarda, Zdeněk (Springer Nature, 2015-12-01)

  Sufficient conditions for boundedness character of solutions of a fourth-order system of difference equations is given.

• On a product-type system of difference equations of second order solvable in closed form 

  Stevič, Stevo; Iričanin, Bratislav; Šmarda, Zdeněk (BioMed Central, 2015-10-12)

  Sufficient conditions for solving a system of difference equations of second order in closed form are given. Moreover, sufficient conditions for existence of periodic solutions and asymptotic stability of solutions are ...

• Two-dimensional product-type system of difference equations solvable in closed form 

  Stevič, Stevo; Iričanin, Bratislav; Šmarda, Zdeněk (Springer Nature, 2016-10-03)

  A solvable two-dimensional product-type system of difference equations of interest is presented. Closed form formulas for its general solution are given.

• Exponential stability of perturbed linear discrete systems 

  Diblík, Josef; Khusainov, Denys; Baštinec, Jaromír; Sirenko, Andrii (Springer, 2016-01-29)

  The paper considers the problem of exponential stability and convergence rate to solutions of perturbed linear discrete homogeneous systems. New criteria on exponential stability are derived by using the second method of ...

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