Paul Eloe

Personal Home Page

http://academic.udayton.edu/PaulEloe/

Articles in Scholarly Journals [Incomplete List]

  1. Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for nth order differential equations
    Journal of Mathematical Analysis and Applications, vol. 331, no. 1, pp. 240–247, 2007
  2. Fractional q-Calculus on a time scale
    Journal of Non-linear Mathematical Physics, vol. 14, no. 3, Article ID 1518, 2007
  3. A Qualitative Analysis on Nonconstant Graininess of the Adaptive Grids via Time Scales
    Rocky Mountain Journal of Mathematics, vol. 36, no. 1, pp. 115–133, 2006
  4. Positive solutions of a nonlinear th order boundary value problem with nonlocal conditions
    Applied Mathematics Letters, vol. 18, no. 5, pp. 521–527, 2005
  5. Approximating crossed symmetric solutions of nonlinear dynamic equations via quasilinearization
    Nonlinear Analysis, vol. 56, no. 2, pp. 253–272, 2004
  6. Maximum principles for a family of nonlocal boundary value problems
    Advances in Difference Equations, vol. 2004, no. 3, pp. 201–210, 2004
  7. Notes on Crossed Symmetry Solutions of the Two-point Boundary Value Problems on Time Scales
    The Journal of Difference Equations and Applications, vol. 9, no. 1, pp. 29–48, 2003
  8. Proceedings of the American Mathematical Society, vol. 131, no. 05, pp. 1481–1489, 2003
  9. Uniform asymptotic stability in nonlinear volterra discrete systems
    Computers & Mathematics with Applications, vol. 45, no. 6-9, pp. 1033–1039, 2003
  10. Sign properties of Green's functions for disconjugate dynamic equations on time scales
    Journal of Mathematical Analysis and Applications, vol. 287, no. 2, pp. 444–454, 2003
  11. Pair differentiation
    Journal of Mathematical Analysis and Applications, vol. 287, no. 2, pp. 504–515, 2003
  12. The quasilinearization method for boundary value problems on time scales
    Journal of Mathematical Analysis and Applications, vol. 276, no. 1, pp. 357–372, 2002
  13. The method of quasilinearization and dynamic equations on compact measure chains
    Journal of Computational and Applied Mathematics, vol. 141, no. 1-2, pp. 159–167, 2002
  14. Upper and Lower Solution Methods for Fully Nonlinear Boundary Value Problems
    Journal of Differential Equations, vol. 180, no. 1, pp. 51–64, 2002
  15. The fast Fourier transform method and ill-conditioned matrices
    Applied Mathematics and Computation, vol. 117, no. 2-3, pp. 117–129, 2001
  16. Positive solutions of nonlinear functional difference equations
    Computers & Mathematics with Applications, vol. 42, no. 3-5, pp. 639–646, 2001
  17. Discrete kiguradze type inequalities
    Journal of Difference Equations and Applications, vol. 6, no. 4, pp. 431–441, 2000
  18. Extremal points for impulsive Lidstone boundary value problems
    Mathematical and Computer Modelling, vol. 32, no. 5-6, pp. 687–698, 2000
  19. Comparison of Green's Functions for a Family of Multipoint Boundary Value Problems
    Journal of Mathematical Analysis and Applications, vol. 246, no. 1, pp. 296–307, 2000
  20. Higher Order Dynamic Equations on Measure Chains: Wronskians, Disconjugacy, and Interpolating Families of Functions?
    Journal of Mathematical Analysis and Applications, vol. 246, no. 2, pp. 639–656, 2000
  21. Triple Positive Solutions and Dependence on Higher Order Derivatives
    Journal of Mathematical Analysis and Applications, vol. 237, no. 2, pp. 710–720, 1999
  22. Georgian Mathematical Journal, vol. 6, no. 5, pp. 415–420, 1999
  23. Multiple positive solutions for difference equations
    Journal of Difference Equations and Applications, vol. 3, no. 3, pp. 219–229, 1998
  24. A generalization of concavity for finite differences
    Computers & Mathematics with Applications, vol. 36, no. 10-12, pp. 109–113, 1998
  25. Positive solutions of boundary-value problems for disfocal ordinary differential equations
    Journal of Computational and Applied Mathematics, vol. 88, no. 1, pp. 71–78, 1998
  26. A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations
    Nonlinear Analysis, vol. 33, no. 5, pp. 443–453, 1998
  27. Positive solutions for ( - 1, 1) conjugate boundary value problems
    Nonlinear Analysis, vol. 28, no. 10, pp. 1669–1680, 1997
  28. Singular Nonlinear (k, n-k) Conjugate Boundary Value Problems
    Journal of Differential Equations, vol. 133, no. 1, pp. 136–151, 1997
  29. Georgian Mathematical Journal, vol. 4, no. 5, pp. 401–412, 1997
  30. Development of a Low RCS Reflector Antenna
    Electromagnetics, vol. 17, no. 5, pp. 467–481, 1997
  31. Proceedings of the American Mathematical Society, vol. 125, no. 07, pp. 2103–2108, 1997
  32. Discretized amplitudemodulated phase-only filter
    Optics & Laser Technology, vol. 28, no. 2, pp. 93–100, 1996
  33. Bifurcation from Infinity and Higher Order Ordinary Differential Equations
    Journal of Mathematical Analysis and Applications, vol. 195, no. 1, pp. 32–43, 1995
  34. The convergence of iterative solutions to the Electric Field Integral Equation
    Applied Mathematics Letters, vol. 8, no. 6, pp. 43–49, 1995
  35. Singular boundary value problems for quasi-differential equations
    International Journal of Mathematics and Mathematical Sciences, vol. 18, no. 3, pp. 571–578, 1995
  36. Stability properties and integrability of the resolvent of linear Volterra equations
    Tohoku Mathematical Journal, vol. 47, no. 2, pp. 263–269, 1995
  37. Sign Properties of Green's Functions for a Family of Two-Point Boundary Value Problems
    Proceedings of the American Mathematical Society, vol. 120, no. 2, p. 443, 1994
  38. A unique limiting Green's function for a class of singular boundary value problems
    Computers & Mathematics with Applications, vol. 28, no. 1-3, pp. 93–99, 1994
  39. Focal Point Characterizations and Comparisons for Right Focal Differential Operators
    Journal of Mathematical Analysis and Applications, vol. 181, no. 1, pp. 22–34, 1994
  40. Multipoint Boundary Value Problems for Ordinary Differential Systems
    Journal of Differential Equations, vol. 114, no. 1, pp. 232–242, 1994
  41. Focal Points and Comparison Theorems for a Class of Two Point Boundary Value Problems
    Journal of Differential Equations, vol. 103, no. 2, pp. 375–386, 1993
  42. Nonlinear integrodifferential equations anda priori bounds on periodic solutions
    Annali di Matematica Pura ed Applicata, vol. 161, no. 1, pp. 271–283, 1992
  43. Positive solutions and conjugate points for multipoint boundary value problems
    Journal of Differential Equations, vol. 95, no. 1, pp. 20–32, 1992
  44. Singular nonlinear boundary value problems for higher order ordinary differential equations
    Nonlinear Analysis, vol. 17, no. 1, pp. 1–10, 1991
  45. Analogues of Fekete and Descartes systems of solutions for difference equations
    Journal of Approximation Theory, vol. 59, no. 1, pp. 38–52, 1989
  46. Integral conditions for right disfocality of a linear differential equation
    Journal of Mathematical Analysis and Applications, vol. 131, no. 2, pp. 441–450, 1988
  47. Periodic solutions of nonlinear integral equations with infinite memory
    Applicable Analysis, vol. 28, no. 2, pp. 79–93, 1988
  48. A Comparison Theorem for Linear Difference Equations
    Proceedings of the American Mathematical Society, vol. 103, no. 2, p. 451, 1988
  49. Some Analogues of Markov and Descartes Systems for Right Disfocality
    Proceedings of the American Mathematical Society, vol. 99, no. 3, p. 543, 1987
  50. Criteria for right disfocality of linear difference equations
    Journal of Mathematical Analysis and Applications, vol. 120, no. 2, pp. 610–621, 1986
  51. Families of boundary conditions for nonlinear ordinary differential equations
    Nonlinear Analysis, vol. 9, no. 6, pp. 631–638, 1985
  52. SIAM Journal on Mathematical Analysis, vol. 15, no. 4, Article ID 0515049, 1984
  53. A boundary value problem for a system of difference equations
    Nonlinear Analysis, vol. 7, no. 8, pp. 813–820, 1983
  54. Difference Equations and Multipoint Boundary Value Problems
    Proceedings of the American Mathematical Society, vol. 86, no. 2, p. 253, 1982
  55. Monotone Iteration and Green's Functions for Boundary Value Problems
    Proceedings of the American Mathematical Society, vol. 78, no. 4, p. 533, 1980