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and Proposals
Bruce D. Calvert
University of Auckland, New Zealand
Articles in Scholarly Journals [Incomplete List]
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
Multiple solutions for a super-linear three-point boundary value problem
Nonlinear Analysis, vol. 50, no. 1, pp. 115–128, 2002
Neural networks with an infinite number of cells
Journal of Differential Equations, vol. 186, no. 1, pp. 31–51, 2002
Neural nets modelled by an o.d.e. on a cube
Nonlinear Analysis, vol. 47, no. 5, pp. 2929–2937, 2001
Potential Analysis, vol. 14, no. 4, pp. 331–340, 2001
Another K-winners-take-all analog neural network
IEEE Transactions on Neural Networks, vol. 11, no. 4, pp. 829–838, 2000
Transactions of the American Mathematical Society, vol. 352, no. 02, pp. 753–781, 2000
Global asymptotic stability for a linear system in a saturated mode
Systems & Control Letters, vol. 40, no. 1, pp. 9–14, 2000
Erratum: Math.Z. 189, 555-560 (1985)
Mathematische Zeitschrift, vol. 235, no. 3, pp. 627–627, 2000
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
Unicursal resistive networks
Circuits Systems and Signal Processing, vol. 16, no. 3, pp. 307–324, 1997
Braess's Paradox in a Queueing Network with State-Dependent Routing
Journal of Applied Probability, vol. 34, no. 1, p. 134, 1997
Infinite nonlinear resistive networks, after Minty
Circuits Systems and Signal Processing, vol. 15, no. 6, pp. 727–733, 1996
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
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
In a nonreflexive space the subdifferential is not onto
Mathematische Zeitschrift, vol. 189, no. 4, pp. 555–560, 1985
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
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
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
Cones of Potentials
Proceedings of the American Mathematical Society, vol. 49, no. 2, p. 325, 1975
Convergence Sets in Reflexive Banach Spaces
Proceedings of the American Mathematical Society, vol. 47, no. 2, p. 423, 1975
Functions excessive with respect to a nonlinear resolvent
Journal of Mathematical Analysis and Applications, vol. 50, no. 2, pp. 303–313, 1975
Sets that Remain Maximal Monotone Under all Monotone Perturbations
Proceedings of the American Mathematical Society, vol. 44, no. 2, p. 318, 1974
OnT-accretive operators
Annali di Matematica Pura ed Applicata, Series 4, vol. 94, no. 1, pp. 291–314, 1972
The local fixed point index for multivalued transformations in a Banach space
Mathematische Annalen, vol. 190, no. 2, pp. 119–128, 1970
Nonlinear evolution equations in Banach lattices
Bulletin of the American Mathematical Society, vol. 76, no. 4, pp. 845–851, 1970