Roger D. Nussbaum

Personal Home Page

http://www.math.rutgers.edu/~nussbaum/

Articles in Scholarly Journals [Incomplete List]

  1. Global stability, two conjectures and Maple
    Nonlinear Analysis, vol. 66, no. 5, pp. 1064–1090, 2007
  2. Iteration of order preserving subhomogeneous maps on a cone
    Mathematical Proceedings of the Cambridge Philosophical Society, vol. 140, no. 01, p. 157, 2006
  3. Iterated linear maps on a cone and Denjoy–Wolff theorems
    Linear Algebra and its Applications, vol. 416, no. 2-3, pp. 615–626, 2006
  4. Extension of order-preserving maps on a cone
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 133, no. 01, p. 35, 2003
  5. A basis theorem for a class of max-plus eigenproblems
    Journal of Differential Equations, vol. 189, no. 2, pp. 616–639, 2003
  6. Boundary layer phenomena for differential-delay equations with state-dependent time lags: III
    Journal of Differential Equations, vol. 189, no. 2, pp. 640–692, 2003
  7. Asymptotic estimates for the periods of periodic points of non-expansive maps
    Ergodic Theory and Dynamical Systems, vol. 23, no. 4, pp. 1199–1226, 2003
  8. Existence, uniqueness and analyticity for periodic solutions of a non-linear convolution equation
    Integral Equations and Operator Theory, vol. 42, no. 4, pp. 385–424, 2002
  9. Dynamics of a Quadratic Map in Two Complex Variables
    Journal of Differential Equations, vol. 169, no. 1, pp. 57–141, 2001
  10. Periodic points of positive linear operators and Perron-Frobenius operators
    Integral Equations and Operator Theory, vol. 39, no. 1, pp. 41–97, 2001
  11. Lower and upper bounds for ?-limit sets of nonexpansive maps
    Indagationes Mathematicae, vol. 12, no. 2, pp. 191–211, 2001
  12. Journal of Dynamics and Differential Equations, vol. 13, no. 2, pp. 381–424, 2001
  13. Transactions of the American Mathematical Society, vol. 350, no. 06, pp. 2367–2392, 1998
  14. EIGENVECTORS OF ORDER-PRESERVING LINEAR OPERATORS
    Journal of the London Mathematical Society, vol. 58, no. 2, pp. 480–496, 1998
  15. Admissible Arrays and a Nonlinear Generalization of Perron-Frobenius Theory
    Journal of the London Mathematical Society, vol. 58, no. 3, pp. 526–544, 1998
  16. Periodic points of nonexpansive maps and nonlinear generalizations of the Perron-Frobenius theory
    Selecta Mathematica, New Series, vol. 4, no. 1, pp. 141–181, 1998
  17. Entropy Minimization, DAD Problems, and Doubly Stochastic Kernels
    Journal of Functional Analysis, vol. 123, no. 2, pp. 264–307, 1994
  18. Lattice isomorphisms and iterates of nonexpansive maps
    Nonlinear Analysis, vol. 22, no. 8, pp. 945–970, 1994
  19. A limit set trichotomy for self-mappings of normal cones in banach spaces
    Nonlinear Analysis, vol. 20, no. 7, pp. 855–870, 1993
  20. Entropy Minimization, Hilbert's Projective Metric, and Scaling Integral Kernels
    Journal of Functional Analysis, vol. 115, no. 1, pp. 45–99, 1993
  21. Boundary layer phenomena for differential-delay equations with state-dependent time lags, I.
    Archive for Rational Mechanics and Analysis, vol. 120, no. 2, pp. 99–146, 1992
  22. Some remarks on differential equations of quadratic type
    Journal of Dynamics and Differential Equations, vol. 3, no. 3, pp. 457–490, 1991
  23. Estimates of the periods of periodic points for nonexpansive operators
    Israel Journal of Mathematics, vol. 76, no. 3, pp. 345–380, 1991
  24. Convexity properties of generalizations of the arithmetic-geometric mean
    Numerical Functional Analysis and Optimization, vol. 11, no. 1, pp. 33–44, 1990
  25. SIAM Journal on Mathematical Analysis, vol. 21, no. 2, Article ID 0521024, 1990
  26. A Differential-Delay Equation Arising in Optics and Physiology
    SIAM Journal on Mathematical Analysis, vol. 20, no. 2, p. 249, 1989
  27. Convexity and log convexity for the spectral radius
    Linear Algebra and its Applications, vol. 73, no. 1, pp. 59–122, 1986
  28. Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
    Annali di Matematica Pura ed Applicata, vol. 145, no. 1, pp. 33–128, 1986
  29. Uniqueness and nonuniqueness for positive radial solutions of ?u + f(u, r) = 0
    Communications on Pure and Applied Mathematics, vol. 38, no. 1, pp. 67–108, 1985
  30. Circulant matrices and differential-delay equations
    Journal of Differential Equations, vol. 60, no. 2, pp. 201–217, 1985
  31. Positive operators and elliptic eigenvalue problems
    Mathematische Zeitschrift, vol. 186, no. 2, pp. 247–264, 1984
  32. Asymptotic estimates for the periods of periodic solutions of a differential-delay equation.
    The Michigan Mathematical Journal, vol. 31, no. 2, pp. 215–229, 1984
  33. Asymptotic analysis of functional differential equations and solutions of long period
    Archive for Rational Mechanics and Analysis, vol. 81, no. 4, 1983
  34. Some remarks on a conjecture in parameter adaptive control
    Systems & Control Letters, vol. 3, no. 5, pp. 243–246, 1983
  35. Quasinormal cones in Banach spaces
    Nonlinear Analysis, vol. 7, no. 5, pp. 539–553, 1983
  36. Cyclic differential equations and period three solutions of differential-delay equations
    Journal of Differential Equations, vol. 46, no. 3, pp. 379–408, 1982
  37. A nonlinear integral equation
    Nonlinear Analysis, vol. 5, no. 12, pp. 1285–1307, 1981
  38. Indiana University Mathematics Journal, vol. 30, no. 6, Article ID 30065, 1981
  39. Uniqueness and nonuniqueness for periodic solutions of ?() = ?(( ? 1))
    Journal of Differential Equations, vol. 34, no. 1, pp. 25–54, 1979
  40. A Hopf Global Bifurcation Theorem for Retarded Functional Differential Equations
    Transactions of the American Mathematical Society, vol. 238, p. 139, 1978
  41. SIAM Journal on Mathematical Analysis, vol. 9, no. 2, Article ID 0509024, 1978
  42. Some Generalizations of the Borsuk-Ulam Theorem
    Proceedings of the London Mathematical Society, vol. s3-35, no. 1, pp. 136–158, 1977
  43. The range of periods of periodic solutions of x'(t) = - af(x(t - 1))
    Journal of Mathematical Analysis and Applications, vol. 58, no. 2, pp. 280–292, 1977
  44. Generalizing the fixed point index
    Mathematische Annalen, vol. 228, no. 3, pp. 259–278, 1977
  45. Global bifurcation of periodic solutions of some autonomous functional differential equations
    Journal of Mathematical Analysis and Applications, vol. 55, no. 3, pp. 699–725, 1976
  46. A Singular Bifurcation Problem
    Journal of the London Mathematical Society, vol. s2-14, no. 1, pp. 31–38, 1976
  47. Positive solutions of nonlinear elliptic boundary value problems
    Journal of Mathematical Analysis and Applications, vol. 51, no. 2, pp. 461–482, 1975
  48. A correction of ?periodic solutions of some nonlinear, autonomous functional differential equations. II?
    Journal of Differential Equations, vol. 16, no. 3, pp. 548–549, 1974
  49. Periodic solutions of some nonlinear autonomous functional differential equations
    Annali di Matematica Pura ed Applicata, Series 4, vol. 101, no. 1, pp. 263–306, 1974
  50. On the uniqueness of the topological degree fork-set-contractions
    Mathematische Zeitschrift, vol. 137, no. 1, pp. 1–6, 1974
  51. Periodic solutions of some nonlinear, autonomous functional differential equations. II
    Journal of Differential Equations, vol. 14, no. 2, pp. 360–394, 1973
  52. Periodic solutions of autonomous functional differential equations
    Bulletin of the American Mathematical Society, vol. 79, no. 4, pp. 811–815, 1973
  53. Some Asymptotic Fixed Point Theorems
    Transactions of the American Mathematical Society, vol. 171, p. 349, 1972
  54. Degree theory for local condensing maps*1
    Journal of Mathematical Analysis and Applications, vol. 37, no. 3, pp. 741–766, 1972
  55. Existence and uniqueness theorems for some functional differential equations of neutral type
    Journal of Differential Equations, vol. 11, no. 3, pp. 607–623, 1972
  56. Asymptotic fixed point theorems for local condensing maps
    Mathematische Annalen, vol. 191, no. 3, pp. 181–195, 1971
  57. The fixed point index for local condensing maps
    Annali di Matematica Pura ed Applicata, Series 4, vol. 89, no. 1, pp. 217–258, 1971
  58. A generalization of the Ascoli theorem and an application to functional differential equations
    Journal of Mathematical Analysis and Applications, vol. 35, no. 3, pp. 600–610, 1971
  59. Some fixed point theorems
    Bulletin of the American Mathematical Society, vol. 77, no. 3, pp. 360–366, 1971
  60. Spectral Mapping Theorems and Perturbation Theorems for Browder's Essential Spectrum
    Transactions of the American Mathematical Society, vol. 150, no. 2, p. 445, 1970
  61. The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
    Bulletin of the American Mathematical Society, vol. 75, no. 3, pp. 490–496, 1969
  62. The topological degree for noncompact nonlinear mappings in Banach spaces
    Bulletin of the American Mathematical Society, vol. 74, no. 4, pp. 671–677, 1968