Alberto Cabada

Personal Home Page

http://web.usc.es/~cabada/

Articles in Scholarly Journals [Incomplete List]

  1. Fully nonlinear fourth-order equations with functional boundary conditions
    Journal of Mathematical Analysis and Applications, vol. 340, no. 1, pp. 239–251, 2008
  2. Extremal solutions for nonlinear functional ??-Laplacian impulsive equations
    Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 3, pp. 827–841, 2007
  3. Positivity and lower and upper solutions for fourth order boundary value problems?
    Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 5, pp. 1599–1612, 2007
  4. Existence results for discontinuous functional differential systems
    Applied Mathematics and Computation, vol. 188, no. 2, pp. 1251–1259, 2007
  5. Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions
    Journal of Mathematical Analysis and Applications, vol. 328, no. 2, pp. 1013–1025, 2007
  6. EXISTENCE OF A SOLUTION FOR A SINGULAR DIFFERENTIAL EQUATION WITH NONLINEAR FUNCTIONAL BOUNDARY CONDITIONS
    Glasgow Mathematical Journal, vol. 49, no. 02, p. 213, 2007
  7. First order difference equations with maxima and nonlinear functional boundary value conditions
    The Journal of Difference Equations and Applications, vol. 12, no. 6, pp. 565–576, 2006
  8. Third-order right-focal multi-point problems on time scales
    The Journal of Difference Equations and Applications, vol. 12, no. 9, pp. 919–935, 2006
  9. Existence results for f-Laplacian boundary value problems on time scales
    Advances in Difference Equations, vol. 2006, Article ID 21819, 11 pages, 2006
  10. Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions
    Journal of Mathematical Analysis and Applications, vol. 322, no. 2, pp. 735–748, 2006
  11. Expression of the Lebesgue ?-integral on time scales as a usual Lebesgue integral; application to the calculus of ?-antiderivatives
    Mathematical and Computer Modelling, vol. 43, no. 1-2, pp. 194–207, 2006
  12. Nagumo type existence results for second-order nonlinear dynamic BVPS
    Nonlinear Analysis, vol. 60, no. 2, pp. 209–220, 2005
  13. Extremal solutions of -Laplacian–diffusion scalar problems with nonlinear functional boundary conditions in a unified way
    Nonlinear Analysis, vol. 63, no. 5-7, pp. e2515–e2524, 2005
  14. Existence of solutions of first-order dynamic equations with nonlinear functional boundary value conditions?
    Nonlinear Analysis, vol. 63, no. 5-7, pp. e697–e706, 2005
  15. Extremal solutions for third-order nonlinear problems with upper and lower solutions in reversed order
    Nonlinear Analysis, vol. 62, no. 6, pp. 1109–1121, 2005
  16. Optimal conditions to ensure the stability of periodic solutions of first order difference equations lying between lower and upper solutions
    Journal of Computational and Applied Mathematics, vol. 176, no. 1, pp. 45–57, 2005
  17. Criterions for absolute continuity on time scales†
    The Journal of Difference Equations and Applications, vol. 11, no. 11, pp. 1013–1028, 2005
  18. Stability of periodic solutions of first-order difference equations lying between lower and upper solutions
    Advances in Difference Equations, vol. 2005, no. 3, pp. 333–343, 2005
  19. Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations
    Advances in Difference Equations, vol. 2004, no. 4, pp. 291–310, 2004
  20. A note on fixed-points theorems for T-monotone operators*1
    Computers & Mathematics with Applications, vol. 47, no. 6-7, pp. 853–857, 2004
  21. Extremal solutions and Green's functions of higher order periodic boundary value problems in time scales
    Journal of Mathematical Analysis and Applications, vol. 290, no. 1, pp. 35–54, 2004
  22. Green's function and comparison principles for first order periodic differential equations with piecewise constant arguments1
    Journal of Mathematical Analysis and Applications, vol. 291, no. 2, pp. 690–697, 2004
  23. On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
    Journal of Mathematical Analysis and Applications, vol. 285, no. 1, pp. 174–190, 2003
  24. Maximum and anti-maximum principles for the general operator of second order with variable coefficients
    Applied Mathematics and Computation, vol. 134, no. 1, pp. 173–184, 2003
  25. Positive solutions for a class of implicit and discontinuous second order functional differential equations with singularities
    Applied Mathematics and Computation, vol. 137, no. 1, pp. 89–99, 2003
  26. Extremality and comparison results for discontinuous implicit third order functional initial-boundary value problems
    Applied Mathematics and Computation, vol. 140, no. 2-3, pp. 391–407, 2003
  27. Existence theory for functional -Laplacian equations with variable exponents
    Nonlinear Analysis, vol. 52, no. 2, pp. 557–572, 2003
  28. Fixed sign solutions of second-order difference equations with Neumann boundary conditions
    Computers & Mathematics with Applications, vol. 45, no. 6-9, pp. 1125–1136, 2003
  29. Existence and uniqueness results for discrete second-order periodic boundary value problems
    Computers & Mathematics with Applications, vol. 45, no. 6-9, pp. 1417–1427, 2003
  30. An Exact Formula for the Number of Alignments Between Two DNA Sequences
    DNA Sequence - The Journal of Sequencing and Mapping, vol. 14, no. 6, pp. 427–430, 2003
  31. Proceedings of the American Mathematical Society, vol. 131, no. 07, pp. 2137–2145, 2003
  32. Criteria for Existence and Nonexistence of Positive Solutions to a Discrete Periodic Boundary Value Problem
    The Journal of Difference Equations and Applications, vol. 9, no. 9, pp. 765–775, 2003
  33. Existence results and approximation methods for functional ordinary differential equations with singular diffusion-type differential operators
    Computers & Mathematics with Applications, vol. 44, no. 1-2, pp. 111–124, 2002
  34. Existence and Comparison Results for First Order Periodic Implicit Difference Equations with Maxima
    The Journal of Difference Equations and Applications, vol. 8, no. 4, pp. 357–370, 2002
  35. Extremality results for discontinuous explicit and implicit diffusion problems
    Journal of Computational and Applied Mathematics, vol. 143, no. 1, pp. 69–80, 2002
  36. Implicit nonlinear discontinuous functional boundary value ?-Laplacian problems: extremality results
    Applied Mathematics and Computation, vol. 129, no. 2-3, pp. 537–549, 2002
  37. Existence and Comparison Results for Difference f-Laplacian Boundary Value Problems with Lower and Upper Solutions in Reverse Order
    Journal of Mathematical Analysis and Applications, vol. 267, no. 2, pp. 501–521, 2002
  38. Extremality and Comparison Results for Discontinuous Third Order Functional Initial-Boundary Value Problems
    Journal of Mathematical Analysis and Applications, vol. 255, no. 1, pp. 195–212, 2001
  39. Monotone method for the Neumann problem with lower and upper solutions in the reverse order
    Applied Mathematics and Computation, vol. 117, no. 1, pp. 1–14, 2001
  40. Comparison results for n-th order periodic difference equations
    Nonlinear Analysis, vol. 47, no. 4, pp. 2395–2406, 2001
  41. Uniqueness, comparison, and existence results for third-order initial boundary value problems
    Computers & Mathematics with Applications, vol. 41, no. 5-6, pp. 607–618, 2001
  42. Extremal solutions for the difference f-Laplacian problem with nonlinear functional boundary conditions
    Computers & Mathematics with Applications, vol. 42, no. 3-5, pp. 593–601, 2001
  43. Journal of Optimization Theory and Applications, vol. 108, no. 1, pp. 97–107, 2001
  44. Green's Function and Maximum Principle for Higher Order Ordinary Differential Equations with Impulses
    Rocky Mountain Journal of Mathematics, vol. 30, no. 2, pp. 435–446, 2000
  45. Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions
    Nonlinear Analysis, vol. 42, no. 8, pp. 1377–1396, 2000
  46. Fixed points and approximate solutions for nonlinear operator equations
    Journal of Computational and Applied Mathematics, vol. 113, no. 1-2, pp. 17–25, 2000
  47. Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions
    Computers & Mathematics with Applications, vol. 39, no. 1-2, pp. 21–33, 2000
  48. A generalization of the method of upper and lower solutions for discontinuous first order problems with nonlinear boundary conditions
    Applied Mathematics and Computation, vol. 114, no. 2-3, pp. 135–148, 2000
  49. Optimal Existence Results for nth Order Periodic Boundary Value Difference Equations,
    Journal of Mathematical Analysis and Applications, vol. 247, no. 1, pp. 67–86, 2000
  50. Optimal Existence Conditions for f-Laplacian Equations with Upper and Lower Solutions in the Reversed Order
    Journal of Differential Equations, vol. 166, no. 2, pp. 385–401, 2000
  51. Approximate solutions to a new class of nonlinear diffusion problems
    Journal of Computational and Applied Mathematics, vol. 108, no. 1-2, pp. 219–231, 1999
  52. Existence of solution for discontinuous third order boundary value problems
    Journal of Computational and Applied Mathematics, vol. 110, no. 1, pp. 105–114, 1999
  53. Existence results for nonlinear problems with separated boundary conditions
    Nonlinear Analysis, vol. 35, no. 4, pp. 449–456, 1999
  54. Existence results for the problem (f(u'))' = f(t,u,u') with nonlinear boundary conditions
    Nonlinear Analysis, vol. 35, no. 2, pp. 221–231, 1999
  55. Boundary value problems for higher order ordinary differential equations with impulses
    Nonlinear Analysis, vol. 32, no. 6, pp. 775–786, 1998
  56. Rapid convergence of approximate solutions for first order nonlinear boundary value problems
    International Journal of Mathematics and Mathematical Sciences, vol. 21, no. 3, pp. 499–505, 1998
  57. Discontinuous impulsive differential equations with nonlinear boundary conditions
    Nonlinear Analysis, vol. 28, no. 9, pp. 1491–1497, 1997
  58. Maximum principles for fourth and sixth order periodic boundary value problems
    Nonlinear Analysis, vol. 29, no. 10, pp. 1161–1171, 1997
  59. Existence result for the problem ((?))? = (?) with periodic and Neumann boundary conditions
    Nonlinear Analysis, vol. 30, no. 3, pp. 1733–1742, 1997
  60. Rapid convergence of the iterative technique for first order initial value problems
    Applied Mathematics and Computation, vol. 87, no. 2-3, pp. 217–226, 1997
  61. A Positive Operator Approach to the Neumann Problem for a Second Order Ordinary Differential Equation
    Journal of Mathematical Analysis and Applications, vol. 204, no. 3, pp. 774–785, 1996
  62. The Method of Lower and Upper Solutions for Third-Order Periodic Boundary Value Problems
    Journal of Mathematical Analysis and Applications, vol. 195, no. 2, pp. 568–589, 1995
  63. Erratum Remarks on the monotone method for first-order problems with linear and nonlinear boundary conditions
    Applied Mathematics and Computation, vol. 69, no. 2-3, pp. 353–354, 1995
  64. The monotone method for first-order problems with linear and nonlinear boundary conditions
    Applied Mathematics and Computation, vol. 63, no. 2-3, pp. 163–186, 1994
  65. The Method of Lower and Upper Solutions for Second, Third, Fourth, and Higher Order Boundary Value Problems
    Journal of Mathematical Analysis and Applications, vol. 185, no. 2, pp. 302–320, 1994
  66. The method of lower and upper solutions for nth-order periodic boundary value problems
    Journal of Applied Mathematics and Stochastic Analysis, vol. 7, no. 1, pp. 33–47, 1994
  67. A generalized upper and lower solutions method for nonlinear second order ordinary differential equations
    Journal of Applied Mathematics and Stochastic Analysis, vol. 5, no. 2, pp. 157–165, 1992
  68. A generalization of the monotone iterative technique for nonlinear second order periodic boundary value problems
    Journal of Mathematical Analysis and Applications, vol. 151, no. 1, pp. 181–189, 1990
  69. Extremal solutions of second order nonlinear periodic boundary value problems
    Applied Mathematics and Computation, vol. 40, no. 2, pp. 135–145, 1990