Search Results - "Okrasinski, Wojciech"

Bessel function model of corneal topography by Okrasinski, Wojciech, PAociniczak, Lukasz

“…In this paper we propose a new nonlinear mathematical model of corneal topography. This model is stated as a two-point boundary value problem. We derive the…”
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SOLUTION ESTIMATES FOR A SYSTEM OF NONLINEAR INTEGRAL EQUATIONS ARISING IN OPTOMETRY by OKRASIŃSKI, WOJCIECH, PŁOCINICZAK, ŁUKASZ

“…In this paper, we investigate a system of nonlinear integral equations that has previously been proposed in modelling of the human cornea. The main result of…”
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A nonlinear mathematical model of the corneal shape by Okrasinski, Wojciech, Plociniczak, Lukasz

“…In this paper, we consider a nonlinear two-point boundary value problem which is derived as a description of corneal shape. We prove some basic results…”
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On a nonlinear boundary value problem modeling corneal shape by Płociniczak, Łukasz, Okrasiński, Wojciech, Nieto, Juan J., Domínguez, Oscar

“…In this paper we present some results concerning a boundary value problem for a nonlinear ordinary differential equation that was used before in modeling the…”
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Blow-up time for solutions to some nonlinear Volterra integral equations by MALOLEPSZY, Tomasz, OKRASINSKI, Wojciech

“…The problem of the estimating of a blow-up time for solutions of Volterra nonlinear integral equation with convolution kernel is studied. New estimates, lower…”
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On approximate mathematical modeling of the vapor–liquid coexistence curves by the Van der Waals equation of state and non-classical value of the critical exponent by Staśkiewicz, Beata, Okrasiński, Wojciech

“…Van der Waals equation of state as well as power laws and critical exponent theories are prototypes to study the cubic shape, asymmetries and “flatness” of the…”
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Blow-up conditions for nonlinear Volterra integral equations with power nonlinearity by MALOLEPSZY, Tomasz, OKRASINSKI, Wojciech

“…In this work we consider nonlinear Volterra equations of a special type. We find necessary and sufficient conditions for blow-up of solutions to this class of…”
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Conditions for blow-up of solutions of some nonlinear Volterra integral equations by Malolepszy, T, Okrasinski, W

“…In this paper we give necessary and sufficient conditions for blow-up of solutions for a particular class of nonlinear Volterra equations. We also give some…”
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Conditions for blow-up of solutions of some nonlinear Volterra integral equations: Evolutionary problems by MALOLEPSZY, Tomasz, OKRASINSKI, Wojciech

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Continuous fit of the vapour-liquid equilibrium with respect to the intensity of the attractive intermolecular forces by Cuadros, Francisco, Okrasinski, Wojciech

“…Using the Weeks-Chandler-Andersen separation of the intermolecular potential to the fit of computer simulation data for a finite number of values of the…”
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Fits of the Thermodynamic Phase Plane by Cuadros, Francisco, Okrasinski, Wojciech, Ahumada, Waldo

“…Using the Weeks-Chandler-Andersen separation of the intermolecular potential we have fitted computer simulation data for Lennard-Jones system for the whole…”
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A NEW PROOF OF EXISTENCE OF SOLUTIONS FOR A CLASS OF NONLINEAR VOLTERRA EQUATIONS by CASTILLO, JESÚS M.F., OKRASINSKI, WOJCIECH

“…In this paper we shall give a new method of proof for Gripenberg's fundamental theorem concerning the solvability of a certain type of nonlinear Volterra…”
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On fractional Bessel equation and the description of corneal topography by Okrasiński, Wojciech, Płociniczak, Łukasz

“…In this note we apply a modified fractional Bessel differential equation to the problem of describing corneal topography. We find the solution in terms of the…”
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Bessel Function Model for Corneal Topography by Okrasiński, Wojciech, Płociniczak, Łukasz

“…Applied Mathematics and Computation 223 (2013), 436-443 In this paper we consider a new nonlinear mathematical model for corneal topography formulated as…”
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