Istvan Gyori

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http://www.szt.vein.hu/~gyori/

Articles in Scholarly Journals [Incomplete List]

  1. On numerical approximation using differential equations with piecewise-constant arguments
    Periodica Mathematica Hungarica, vol. 56, no. 1, pp. 55–69, 2008
  2. Asymptotic Representation of the Solutions of Linear Volterra Difference Equations
    Advances in Difference Equations, vol. 2008, Article ID 932831, 22 pages, 2008
  3. On exact convergence rates for solutions of linear systems of Volterra difference equations
    The Journal of Difference Equations and Applications, vol. 13, no. 1, pp. 95–95, 2007
  4. On exact rates of decay of solutions of linear systems of Volterra equations with delay?
    Journal of Mathematical Analysis and Applications, vol. 320, no. 1, pp. 56–77, 2006
  5. On exact convergence rates for solutions of linear systems of Volterra difference equations
    Journal of Difference Equations and Applications, vol. 12, no. 12, pp. 1257–1275, 2006
  6. Stability analysis of a single neuron model with delay
    Journal of Computational and Applied Mathematics, vol. 157, no. 1, pp. 73–92, 2003
  7. Numerical Approximation of Neutral Differential Equations on Infinite Interval
    The Journal of Difference Equations and Applications, vol. 8, no. 11, pp. 983–999, 2002
  8. On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation
    Nonlinear Analysis, vol. 48, no. 7, pp. 1033–1042, 2002
  9. The converse of the theorem on stability by the first approximation for difference equations
    Nonlinear Analysis, vol. 47, no. 7, pp. 4635–4640, 2001
  10. A note on exponential stability of quasi-linear ordinary differential equations
    Applied Mathematics Letters, vol. 14, no. 3, pp. 381–385, 2001
  11. Special solutions of neutral functional differential equations
    Journal of Inequalities and Applications, vol. 6, no. 1, pp. 99–117, 2001
  12. Preface
    Mathematical and Computer Modelling, vol. 31, no. 4-5, p. xiii, 2000
  13. An age-dependent population dynamical model with a small parameter
    Mathematical and Computer Modelling, vol. 31, no. 4-5, pp. 63–72, 2000
  14. A new approach to the global asymptotic stability problem in a delay Lotka-Volterra differential equation*1
    Mathematical and Computer Modelling, vol. 31, no. 6-7, pp. 9–28, 2000
  15. Global attractivity and presistence in a discrete population model
    Journal of Difference Equations and Applications, vol. 6, no. 6, pp. 647–665, 2000
  16. A note on exponential stability of quasi-linear ordinary differential equations
    Applied Mathematics Letters, vol. 13, no. 6, pp. 67–71, 2000
  17. Preservation of Stability in Delay Equations under Delay Perturbations,
    Journal of Mathematical Analysis and Applications, vol. 220, no. 1, pp. 290–312, 1998
  18. Global Asymptotic Stability in a Nonautonomous Lotka–Volterra Type System with Infinite Delay
    Journal of Mathematical Analysis and Applications, vol. 210, no. 1, pp. 279–291, 1997
  19. Gronwall-Bellman type integral inequalities for abstract Lebesgue integral
    Mathematical and Computer Modelling, vol. 25, no. 1, pp. 51–58, 1997
  20. Positivity, vol. 1, no. 4, pp. 319–330, 1997
  21. Asymptotically Diagonal Delay Differential Systems
    Journal of Mathematical Analysis and Applications, vol. 204, no. 3, pp. 701–728, 1996
  22. Asymptotic Formulae for the Solutions of a Linear Delay Difference Equation-
    Journal of Mathematical Analysis and Applications, vol. 195, no. 2, pp. 376–392, 1995
  23. L2-Perturbation of a Linear Delay Differential Equation
    Journal of Mathematical Analysis and Applications, vol. 195, no. 2, pp. 415–427, 1995
  24. Numerical approximations for a class of differential equations with time- and state-dependent delays
    Applied Mathematics Letters, vol. 8, no. 6, pp. 19–24, 1995
  25. Asymptotic theory for delay differene equations
    Journal of Difference Equations and Applications, vol. 1, no. 2, pp. 99–116, 1995
  26. Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments
    Computers & Mathematics with Applications, vol. 28, no. 1-3, pp. 81–92, 1994
  27. An Application of Discrete Inequality to Second Order Nonlinear Oscillation
    Journal of Mathematical Analysis and Applications, vol. 186, no. 1, pp. 200–208, 1994
  28. Oscillation Results for Linear Autonomous Partial Delay Differential Equations
    Journal of Mathematical Analysis and Applications, vol. 174, no. 1, pp. 204–217, 1993
  29. Positive Solutions of Integro-Differential Equations with Unbounded Delay
    Journal of Integral Equations and Applications, vol. 4, no. 3, pp. 377–390, 1992
  30. On approximation of the solutions of delay differential equations by using piecewise constant arguments
    International Journal of Mathematics and Mathematical Sciences, vol. 14, no. 1, pp. 111–126, 1991
  31. Conditions for Oscillation of Difference Equations with Applications to Equations with Piecewise Constant Arguments
    SIAM Journal on Mathematical Analysis, vol. 22, no. 3, p. 769, 1991
  32. A neutral equation arising from compartmental systems with pipes
    Journal of Dynamics and Differential Equations, vol. 3, no. 2, pp. 289–311, 1991
  33. Uniform approximation of a nonlinear delay equation on infinite intervals
    Nonlinear Analysis, vol. 17, no. 1, pp. 21–29, 1991
  34. Global attractivity in a delay difference equation
    Nonlinear Analysis, vol. 17, no. 5, pp. 473–479, 1991
  35. Some mathematical aspects of modelling cell population dynamics
    Computers & Mathematics with Applications, vol. 20, no. 4-6, pp. 127–138, 1990
  36. Comparison results for integro-differential equations of Volterra type
    Nonlinear Analysis, vol. 15, no. 3, pp. 245–252, 1990
  37. Sharp conditions for existence of nontrivial invariant cones of nonnegative initial values of difference equations
    Applied Mathematics and Computation, vol. 36, no. 2, pp. 89–111, 1990
  38. Global attractivity in delay differential equations using a mixed monotone technique
    Journal of Mathematical Analysis and Applications, vol. 152, no. 1, pp. 131–155, 1990
  39. Invariant cones of positive initial functions for delay differential equations
    Applicable Analysis, vol. 35, no. 1, pp. 21–41, 1990
  40. Global attractivity in a perturbed linear delay differential equation
    Applicable Analysis, vol. 34, no. 3, pp. 167–181, 1989
  41. On Oscillations of Unbounded Solutions
    Proceedings of the American Mathematical Society, vol. 106, no. 3, p. 785, 1989
  42. Oscillations of retarded differential equations of the neutral and the mixed types*1
    Journal of Mathematical Analysis and Applications, vol. 141, no. 1, pp. 1–20, 1989
  43. Asymptotic integration of delay differential systems
    Journal of Mathematical Analysis and Applications, vol. 138, no. 2, pp. 311–327, 1989
  44. Necessary and sufficient condition for oscillation of a neutral differential system with several delays
    Journal of Differential Equations, vol. 81, no. 1, pp. 98–105, 1989
  45. Existence and growth of oscillatory solutions of first order unstable type delay differential equations
    Nonlinear Analysis, vol. 13, no. 7, pp. 739–751, 1989
  46. Review article Modelling thrombopoiesis regulation—I Model description and simulation results
    Mathematical and Computer Modelling, vol. 12, no. 7, p. 908, 1989
  47. Oscillation and comparison results in neutral differential equations and their applications to the delay logistic equation*1
    Computers & Mathematics with Applications, vol. 18, no. 10-11, pp. 893–906, 1989
  48. Two approximation techniques for functional differential equations
    Computers & Mathematics with Applications, vol. 16, no. 3, pp. 195–214, 1988
  49. The method of lines for the solutions of some nonlinear partial differential equations
    Computers & Mathematics with Applications, vol. 15, no. 6-8, pp. 635–658, 1988
  50. Global stability in job systems
    Journal of Mathematical Analysis and Applications, vol. 131, no. 1, pp. 85–96, 1988
  51. Time-dependent subpopulation induction in heterogeneous tumors
    Bulletin of Mathematical Biology, vol. 50, no. 6, pp. 681–696, 1988
  52. Modelling thrombopoiesis regulation?I Model description and stimulation results
    Computers & Mathematics with Applications, vol. 14, no. 9-12, pp. 841–848, 1987
  53. Modelling thrombopoiesis regulation?II Mathematical investigation of the model
    Computers & Mathematics with Applications, vol. 14, no. 9-12, pp. 849–859, 1987
  54. Oscillatory behavior in linear retarded functional differential equations
    Journal of Mathematical Analysis and Applications, vol. 128, no. 2, pp. 332–346, 1987
  55. Connections between compartmental systems with pipes and integro-differential equations
    Mathematical Modelling, vol. 7, no. 9-12, pp. 1215–1238, 1986
  56. On the oscillatory behaviour of solutions of certain nonlinear and linear delay differential equations
    Nonlinear Analysis, vol. 8, no. 5, pp. 429–439, 1984
  57. Oscillation criteria in delay equations
    Journal of Differential Equations, vol. 53, no. 1, pp. 115–123, 1984
  58. Compartmental systems with pipes
    Mathematical Biosciences, vol. 53, no. 3-4, pp. 223–247, 1981