Search Results - "Vrkoč, Ivo"
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Ninety years of Jaroslav Kurzweil
Published in Mathematica bohemica (01-01-2016)Get full text
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Asymptotic stability of tri-trophic food chains sharing a common resource
Published in Mathematical biosciences (01-12-2015)“…•Local asymptotic stability of the interior equilibrium of tri-trophic food chains sharing a common resource is proved.•In the case of two tri-trophic food…”
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Comparison of two definitions of lower and upper functions associated to nonlinear second order differential equations
Published in Journal of inequalities and applications (01-01-2001)“…The notions of lower and upper functions of the second order differential equations take their beginning from the classical work by C. Scorza-Dragoni and have…”
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Limited validity of West and Yennie interference formula for elastic scattering of hadrons
Published in Physics letters. B (22-11-2007)“…The proof will be given that the commonly used West and Yennie integral formula for the relative phase of Coulomb and elastic hadronic amplitudes leads to a…”
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On the ambiguity of functions represented by divergent power series
Published in Applied numerical mathematics (01-12-2010)“…Assuming the asymptotic character of divergent perturbation series, we address the problem of ambiguity of a function determined by an asymptotic power…”
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A Lyapunov function for piecewise-independent differential equations: stability of the ideal free distribution in two patch environments
Published in Journal of mathematical biology (01-04-2007)“…In this article we construct Lyapunov functions for models described by piecewise-continuous and independent differential equations. Because these models are…”
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Integral conditions for nonoscillation of second order nonlinear differential equations
Published in Nonlinear analysis (15-03-2006)“…An extension of the Fubini theorem is presented and applied in studying the possible coexistence of nonoscillatory solutions for the differential equation ( r…”
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Existence of Nonnegative and Nonpositive Solutions for Second Order Periodic Boundary Value Problems
Published in Journal of Differential Equations (01-11-2001)“…We are interested in nonnegative and nonpositive solutions of the boundary value problem u″=f(t, u), u(0)=u(1), u′(0)=u′(1), where f fulfils the Carathéodory…”
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Should “handled” prey be considered? Some consequences for functional response, predator–prey dynamics and optimal foraging theory
Published in Journal of theoretical biology (21-03-2004)“…Predator–prey models consider those prey that are free. They assume that once a prey is captured by a predator it leaves the system. A question arises whether…”
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Summation inequalities and half-linear difference equations
Published in Journal of mathematical analysis and applications (01-02-2005)“…The aim of this paper is to present new summation inequalities and to show that the half-linear difference equation Δ ( a n | Δ x n | α sgn Δ x n ) = b n | x n…”
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On an extension of the Fubini theorem and its applications in ODEs
Published in Nonlinear analysis (01-05-2004)“…The paper deals with the change of integration for integrals ∫ 0 ∞ b(t) ∫ 0 t A(s) ds m dt, ∫ 0 ∞ A(t) ∫ t ∞ b(s) ds 1/m dt, where m>0 and A, b are continuous…”
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Stochastic Processes for Bounded Noise
Published in Mathematics of control, signals, and systems (01-09-2003)“…The scalar differential inclusion x times belongs to f(x) + g(x)u, u belongs to [-1,1] x(0) = x 0 (0.1) is considered as a model of the dynamical system x…”
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Patch Choice under Predation Hazard
Published in Theoretical population biology (01-12-2000)“…In this paper we study optimal animal movement in heterogeneous environments consisting of several food patches in which animals trade-off energy gain versus…”
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Asymptotic power series of field correlators
Published 06-12-2010“…Acta Polytech.50:71,2010 We address the problem of ambiguity of a function determined by an asymptotic perturbation expansion. Using a modified form of the…”
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On the ambiguity of functions represented by divergent power series
Published 30-11-2010“…Appl.Numer.Math.60:1264,2010 Assuming the asymptotic character of divergent perturbation series, we address the problem of ambiguity of a function determined…”
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On the ambiguity of field correlators represented by asymptotic perturbation expansions
Published 01-09-2009“…Starting from the divergence pattern of perturbation expansions in Quantum Field Theory and the (assumed) asymptotic character of the series, we address the…”
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Book Review Gabriele A. Losa, Danilo Merlini, Theo F. Nonnenmacher and Ewald R. Weibel, eds.: Fractals in Biology and Medicine, Volume II. Mathematics and Bioscience in Interaction, Birkhäuser, Basel, 1998, ix+369 Pages, ISBN 3-7643-5715-0, price DM 118
Published in Applications of Mathematics (01-08-2000)Get full text
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Book Review: Stochastic Analysis and Related Topics VI. (Eds.: Laurent Decreusefond, Jon Gjerde, Bernt Øksendal, Ali Süleyman Üstünel) The Geilo Workshop, 1996. Progress in Probability 42, Birkhäuser, Boston 1998, xii+409 pages, ISBN 0-8176-4018-5, Price DM 268
Published in Applications of Mathematics (01-06-1999)Get full text
Book Review