John Graef

Personal Home Page

http://www.utc.edu/Faculty/John-Graef/WebPageCV.html

Articles in Scholarly Journals [Incomplete List]

  1. Extremal solutions for nonresonance impulsive functional dynamic equations on time scales?
    Applied Mathematics and Computation, vol. 196, no. 1, pp. 333–339, 2008
  2. A periodic boundary value problem with vanishing Green’s function
    Applied Mathematics Letters, vol. 21, no. 2, pp. 176–180, 2008
  3. Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
    Journal of Differential Equations, vol. 245, no. 5, pp. 1185–1197, 2008
  4. Existence results for functional semilinear differential inclusions in Fréchet spaces
    Mathematical and Computer Modelling, 2008
  5. Asymptotic results for a class of fourth order quasilinear difference equations
    Journal of Difference Equations and Applications, vol. 13, no. 12, pp. 1085–1103, 2007
  6. Necessary and sufficient conditions for the existence of symmetric positive solutions of singular boundary value problems
    Journal of Mathematical Analysis and Applications, vol. 331, no. 2, pp. 1467–1484, 2007
  7. First order functional differential equations with periodic boundary conditions
    Applicable Analysis, vol. 86, no. 2, pp. 205–221, 2007
  8. Symmetric positive solutions of nonlinear boundary value problems
    Journal of Mathematical Analysis and Applications, vol. 326, no. 2, pp. 1310–1327, 2007
  9. A necessary and sufficient condition for existence of positive solutions of nonlinear boundary value problems
    Nonlinear Analysis: Theory, Methods & Applications, vol. 66, no. 11, pp. 2389–2412, 2007
  10. Necessary and sufficient conditions for the existence of symmetric positive solutions of multi-point boundary value problems
    Nonlinear Analysis: Theory, Methods & Applications, 2007
  11. Positive solutions to a multi-point higher order boundary value problem
    Journal of Mathematical Analysis and Applications, vol. 316, no. 2, pp. 409–421, 2006
  12. Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces
    International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 31256, 16 pages, 2006
  13. Oscillatory and nonoscillatory solutions of multivalued differential inclusions
    Computers & Mathematics with Applications, vol. 49, no. 9-10, pp. 1347–1354, 2005
  14. Nonlinear functional differential equations with Properties A and B
    Journal of Mathematical Analysis and Applications, vol. 306, no. 1, pp. 136–160, 2005
  15. Classifying non-oscillatory solutions and oscillation of a neutral difference equation
    Journal of Difference Equations and Applications, vol. 11, no. 7, pp. 605–618, 2005
  16. On boundary-value problems for second order perturbed differential inclusions
    Applicable Analysis, vol. 84, no. 9, pp. 953–970, 2005
  17. Behavior of Solutions of Second-Order Differential Equations with Sublinear Damping
    Nonlinear Oscillations, vol. 8, no. 2, pp. 184–197, 2005
  18. Nonresonance impulsive functional differential inclusions with variable times
    Computers & Mathematics with Applications, vol. 47, no. 10-11, pp. 1725–1737, 2004
  19. Some Limit-point and Limit-circle Results for Second Order Emden-Fowler Equations
    Applicable Analysis, vol. 83, no. 5, pp. 461–476, 2004
  20. Proceedings of the American Mathematical Society, vol. 131, no. 09, pp. 2859–2868, 2003
  21. Proceedings of the American Mathematical Society, vol. 131, no. 02, pp. 577–586, 2003
  22. Mathematische Nachrichten, vol. 256, no. 1, pp. 17–28, 2003
  23. A three point boundary value problem for nonlinear fourth order differential equations
    Journal of Mathematical Analysis and Applications, vol. 287, no. 1, pp. 217–233, 2003
  24. Double solutions of boundary value problems for 2mth-order differential equations and difference equations
    Computers & Mathematics with Applications, vol. 45, no. 6-9, pp. 873–885, 2003
  25. Asymptotic behavior of nonoscillatory solutions of neutral difference equations
    Computers & Mathematics with Applications, vol. 45, no. 6-9, pp. 1461–1468, 2003
  26. Oscillation of Impulsive Neutral Delay Differential Equations
    Journal of Mathematical Analysis and Applications, vol. 268, no. 1, pp. 310–333, 2002
  27. A General Comparison Result for Higher Order Nonlinear Difference Equations With Deviating Arguments
    The Journal of Difference Equations and Applications, vol. 8, no. 11, pp. 1033–1052, 2002
  28. Global Attractivity of the Equilibrium of a Nonlinear Difference Equation
    Czechoslovak Mathematical Journal, vol. 52, no. 4, pp. 757–769, 2002
  29. Oscillation theorems for general quasilinear second-order difference equations
    Computers & Mathematics with Applications, vol. 42, no. 3-5, pp. 687–694, 2001
  30. Oscillation and comparison theorems for half-linear second-order difference equations
    Computers & Mathematics with Applications, vol. 42, no. 6-7, pp. 953–960, 2001
  31. Asymptotic decay of nonoscillatory solutions of general nonlinear difference equations
    International Journal of Mathematics and Mathematical Sciences, vol. 27, no. 2, pp. 69–76, 2001
  32. Boundary value problems for 2n-th order nonlinear ordinary differential equation
    Applicable Analysis, vol. 79, no. 3, pp. 503–517, 2001
  33. Asymptotic Behavior of Solutions of Differential Equations with Variable Delays
    Proceedings of the London Mathematical Society, vol. 81, no. 1, pp. 72–92, 2000
  34. Existnence and nonexistence of positive solutions of fourth order nonlinear boundary value problems
    Applicable Analysis, vol. 74, no. 1, pp. 201–214, 2000
  35. Positive solutions to boundary value problems for nonlinear difference equations
    Journal of Difference Equations and Applications, vol. 6, no. 1, pp. 91–104, 2000
  36. Behavior of Solutions of Impulsively Perturbed Non-Halflinear Oscillator Equations
    Journal of Mathematical Analysis and Applications, vol. 244, no. 1, pp. 77–96, 2000
  37. Oscillation of two-dimensional difference systems
    Computers & Mathematics with Applications, vol. 38, no. 7-8, pp. 157–165, 1999
  38. Oscillatory behavior of solutions of Volterra summation equations
    Applied Mathematics Letters, vol. 12, no. 7, pp. 79–84, 1999
  39. On a nonlinear boundary value problem for fourth order equations
    Applicable Analysis, vol. 72, no. 3, pp. 439–448, 1999
  40. Formulas for Liapunov functions for systems of linear difference equations
    Proceedings of the London Mathematical Society, vol. 88, no. 1, pp. 185–203, 1999
  41. Global dynamics of a SEIR model with varying total population size
    Mathematical Biosciences, vol. 160, no. 2, pp. 191–213, 1999
  42. Global stability in a nonlinear difference equation
    Journal of Difference Equations and Applications, vol. 5, no. 3, pp. 251–270, 1999
  43. Oscillation of a higher order neutral difference equation with a forcing term
    International Journal of Mathematics and Mathematical Sciences, vol. 22, no. 1, pp. 147–154, 1999
  44. On oscillatory and asymptotic properties of solutions of certain nonlinear third order differential equations
    Nonlinear Analysis, vol. 32, no. 3, pp. 417–425, 1998
  45. Monotone properties of certain classes of solutions of second-order difference equations*1
    Computers & Mathematics with Applications, vol. 36, no. 10-12, pp. 291–297, 1998
  46. Stability in a population model
    Applied Mathematics and Computation, vol. 89, no. 1-3, pp. 119–132, 1998
  47. Asymptotic Periodicity of Delay Differential Equations
    Journal of Mathematical Analysis and Applications, vol. 226, no. 1, pp. 150–165, 1998
  48. Oscillating nonlinear third order differential equations
    Nonlinear Analysis, vol. 28, no. 10, pp. 1611–1622, 1997
  49. Intermittant and impulsive effects in second order systems
    Nonlinear Analysis, vol. 30, no. 3, pp. 1561–1571, 1997
  50. Limit-point type results for nonlinear fourth-order differential equations
    Nonlinear Analysis, vol. 28, no. 5, pp. 779–792, 1997
  51. A comparison result for nonlinear difference equations
    Nonlinear Analysis, vol. 30, no. 3, pp. 1547–1553, 1997
  52. Nonlinear Limit-Point Type Solutions ofnth Order Differential Equations
    Journal of Mathematical Analysis and Applications, vol. 209, no. 1, pp. 122–139, 1997
  53. On existence of positive solutions and oscillations of neutral difference equations of odd order
    Journal of Difference Equations and Applications, vol. 2, no. 2, pp. 175–183, 1996
  54. On L2 and limit-point type solutions of fourth order differential equations
    Applicable Analysis, vol. 60, no. 1, pp. 175–187, 1996
  55. On the asymptotic behavior of solutions of impulsively damped nonlinear oscillator equations
    Journal of Computational and Applied Mathematics, vol. 71, no. 1, pp. 147–162, 1996
  56. Asymptotic Behavior of a Forced Difference Equation
    Journal of Mathematical Analysis and Applications, vol. 203, no. 2, pp. 388–400, 1996
  57. Stability of Almost Periodic Systems Having a Time Varying Delay
    Journal of Mathematical Analysis and Applications, vol. 196, no. 3, pp. 1117–1130, 1995
  58. On a certain nonautonomous nonlinear third order differential equation
    Applicable Analysis, vol. 58, no. 1, pp. 175–185, 1995
  59. Boundedness and asymptotic behavior of solutions of a forced difference equation
    International Journal of Mathematics and Mathematical Sciences, vol. 17, no. 2, pp. 397–400, 1994
  60. Asymptotic and oscillatory behavior of solutions of nonlinear neutral delay equations of arbitrary order
    Applied Mathematics and Computation, vol. 65, no. 1-3, pp. 209–221, 1994
  61. Asymptotic behavior of nonoscillatory solutions of neutral delay differential equations of arbitrary order
    Nonlinear Analysis, vol. 21, no. 1, pp. 23–42, 1993
  62. On the oscillation of an nth-order nonlinear neutral delay differential equation
    Journal of Computational and Applied Mathematics, vol. 41, no. 1-2, pp. 35–40, 1992
  63. On the behavior of solutions of a first order nonlinear neutral delay differential equation
    Applicable Analysis, vol. 40, no. 2, pp. 111–121, 1991
  64. Asymptotic and oscillatory behavior of solutions of first order nonlinear neutral delay differential equations
    Journal of Mathematical Analysis and Applications, vol. 155, no. 2, pp. 562–571, 1991
  65. On the asymptotic behavior of solutions of a second order nonlinear neutral delay differential equation*1
    Journal of Mathematical Analysis and Applications, vol. 156, no. 1, pp. 23–39, 1991
  66. Oscillatory behavior of solutions of nonlinear differential equations of the second order1
    Journal of Mathematical Analysis and Applications, vol. 151, no. 2, pp. 330–343, 1990
  67. On the Nonoscillation, Convergence to Zero, and Integrability of Solutions of a Second Order Nonlinear Differential Equation
    Mathematische Nachrichten, vol. 130, no. 1, pp. 139–149, 1987
  68. New Runge–Kutta–Nyström formula-pairs of order 8(7), 9(8), 10(9) and 11(10) for differential equations of the form y? = f(x, y)
    Journal of Computational and Applied Mathematics, vol. 14, no. 3, pp. 361–370, 1986
  69. On the asymptotic decay of oscillatory solutions of a nonlinear delay equation
    Applicable Analysis, vol. 23, no. 1, pp. 11–21, 1986
  70. An oscillation theorem for nth order linear functional differential equations1
    Journal of Mathematical Analysis and Applications, vol. 99, no. 2, pp. 458–471, 1984
  71. Nonoscillation theorems for functional differential equations of arbitrary order
    International Journal of Mathematics and Mathematical Sciences, vol. 7, no. 2, pp. 249–256, 1984
  72. Nonoscillation of higher order functional differential equations?
    Journal of Mathematical Analysis and Applications, vol. 92, no. 2, pp. 524–532, 1983
  73. On the nonlinear limit-point/limit-circle problem
    Nonlinear Analysis, vol. 7, no. 8, pp. 851–871, 1983
  74. On the positive solutions of a higher order functional differential equation with a discontinuity
    International Journal of Mathematics and Mathematical Sciences, vol. 5, no. 2, pp. 263–273, 1982
  75. Oscillatory and asymptotic properties of solutions of generalized Thomas-Fermi equations with deviating arguments
    Journal of Mathematical Analysis and Applications, vol. 84, no. 2, pp. 519–529, 1981
  76. Limit circle criteria and related properties for nonlinear equations
    Journal of Differential Equations, vol. 35, no. 3, pp. 319–338, 1980
  77. Asymptotic and oscillatory behavior of superlinear differential equations with deviating arguments1, 2
    Journal of Mathematical Analysis and Applications, vol. 75, no. 1, pp. 134–148, 1980
  78. Oscillation theorems for perturbed nonlinear differential equations*1
    Journal of Mathematical Analysis and Applications, vol. 65, no. 2, pp. 375–390, 1978
  79. Boundedness and convergence to zero of solutions of a forced second-order nonlinear differential equation
    Journal of Mathematical Analysis and Applications, vol. 62, no. 2, pp. 295–309, 1978
  80. Comparison and nonoscillation results for perturbed nonlinear differential equations
    Annali di Matematica Pura ed Applicata, Series 4, vol. 116, no. 1, pp. 135–142, 1978
  81. Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order
    Journal of Mathematical Analysis and Applications, vol. 60, no. 2, pp. 398–409, 1977
  82. Asymptotic properties of solutions of functional differential equations of arbitrary order
    Journal of Mathematical Analysis and Applications, vol. 60, no. 2, pp. 339–348, 1977
  83. Asymptotic behavior of solutions of a second order nonlinear differential equation
    Journal of Differential Equations, vol. 17, no. 2, pp. 461–476, 1975
  84. Sufficient Conditions for Nonoscillation of a Second Order Nonlinear Differential Equation
    Proceedings of the American Mathematical Society, vol. 50, no. 1, p. 289, 1975
  85. Continuability, boundness and asymptotic behavior of solutions ofx? +q(t)f(x)=r(t)
    Annali di Matematica Pura ed Applicata, Series 4, vol. 101, no. 1, pp. 307–320, 1974
  86. On the generalized Li?nard equation with negative damping
    Journal of Differential Equations, vol. 12, no. 1, pp. 34–62, 1972