Bruce D. Calvert

Personal Home Page

http://www.math.auckland.ac.nz/~calvert/

Articles in Scholarly Journals [Incomplete List]

  1. Performance analysis for a K-winners-take-all analog neural network: Basic theory
    IEEE Transactions on Neural Networks, vol. 14, no. 4, pp. 766–780, 2003
  2. Neural networks with an infinite number of cells
    Journal of Differential Equations, vol. 186, no. 1, pp. 31–51, 2002
  3. Multiple solutions for a super-linear three-point boundary value problem
    Nonlinear Analysis, vol. 50, no. 1, pp. 115–128, 2002
  4. Potential Analysis, vol. 14, no. 4, pp. 331–340, 2001
  5. Neural nets modelled by an o.d.e. on a cube
    Nonlinear Analysis, vol. 47, no. 5, pp. 2929–2937, 2001
  6. Transactions of the American Mathematical Society, vol. 352, no. 02, pp. 753–781, 2000
  7. Another K-winners-take-all analog neural network
    IEEE Transactions on Neural Networks, vol. 11, no. 4, pp. 829–838, 2000
  8. Global asymptotic stability for a linear system in a saturated mode
    Systems & Control Letters, vol. 40, no. 1, pp. 9–14, 2000
  9. Erratum: Math.Z. 189, 555-560 (1985)
    Mathematische Zeitschrift, vol. 235, no. 3, pp. 627–627, 2000
  10. Linear systems in a saturated mode and convergence as gain becomes large of asymptotically stable equilibrium points of neural nets
    Circuits, Systems, and Signal Processing, vol. 18, no. 3, pp. 241–267, 1999
  11. Unicursal resistive networks
    Circuits Systems and Signal Processing, vol. 16, no. 3, pp. 307–324, 1997
  12. Braess's Paradox in a Queueing Network with State-Dependent Routing
    Journal of Applied Probability, vol. 34, no. 1, p. 134, 1997
  13. Infinite nonlinear resistive networks, after Minty
    Circuits Systems and Signal Processing, vol. 15, no. 6, pp. 727–733, 1996
  14. On the convexity of the interior of the domain of an m-accretive operator in a Banach space
    Nonlinear Analysis, vol. 12, no. 7, pp. 727–732, 1988
  15. On the Compactness of the Nonlinear Evolution Operator in a Banach Space
    Bulletin of the London Mathematical Society, vol. 19, no. 6, pp. 551–558, 1987
  16. In a nonreflexive space the subdifferential is not onto
    Mathematische Zeitschrift, vol. 189, no. 4, pp. 555–560, 1985
  17. A comment on ?minimization of functions of a positive simidefinite matrix A subject to AX = 0?
    Journal of Multivariate Analysis, vol. 10, no. 1, pp. 135–139, 1980
  18. Nonlinear elliptic boundary value problems in Lp-spaces and sums of ranges of accretive operators
    Nonlinear Analysis, vol. 2, no. 1, pp. 1–26, 1978
  19. Minimisation of functions of a positive semidefinite matrix A subject to AX = 0
    Journal of Multivariate Analysis, vol. 8, no. 2, pp. 274–281, 1978
  20. Functions excessive with respect to a nonlinear resolvent
    Journal of Mathematical Analysis and Applications, vol. 50, no. 2, pp. 303–313, 1975
  21. Convergence Sets in Reflexive Banach Spaces
    Proceedings of the American Mathematical Society, vol. 47, no. 2, p. 423, 1975
  22. Cones of Potentials
    Proceedings of the American Mathematical Society, vol. 49, no. 2, p. 325, 1975
  23. Sets that Remain Maximal Monotone Under all Monotone Perturbations
    Proceedings of the American Mathematical Society, vol. 44, no. 2, p. 318, 1974
  24. OnT-accretive operators
    Annali di Matematica Pura ed Applicata, Series 4, vol. 94, no. 1, pp. 291–314, 1972
  25. The local fixed point index for multivalued transformations in a Banach space
    Mathematische Annalen, vol. 190, no. 2, pp. 119–128, 1970
  26. Nonlinear evolution equations in Banach lattices
    Bulletin of the American Mathematical Society, vol. 76, no. 4, pp. 845–851, 1970