R. Nussbaum

发表

Hilbert's Projective Metric and Iterated Nonlinear Maps

R. Nussbaum, 1988 .

Convexity and log convexity for the spectral radius

R. Nussbaum, 1986 .

Extension of order-preserving maps on a cone

C. Sparrow, R. Nussbaum, A. Burbanks, 2003, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Some remarks on a conjecture in parameter adaptive control

R. Nussbaum, 1983 .

A Collatz-Wielandt characterization of the spectral radius of order-preserving homogeneous maps on cones

S. Gaubert, M. Akian, R. Nussbaum, 2011, 1112.5968.

Uniqueness and nonuniqueness for positive radial solutions of Δu+f(u,r)=0

R. Nussbaum, W. Ni, 1985 .

Iterated nonlinear maps and Hilbert's projective metric: a summary

R. Nussbaum, 1987 .

Boundary layer phenomena for differential-delay equations with state-dependent time lags, I.

J. Mallet-Paret, R. Nussbaum, 1992 .

A BIFURCATION GAP FOR A SINGULARLY PERTURBED DELAY EQUATION

J. Mallet-Paret, R. Nussbaum, 1986 .

Periodic solutions of nonlinear autonomous functional differential equations

R. Nussbaum, 1979 .

Nonexpansive Periodic Operators in l1 with Application to Superhigh-Frequency Oscillations in a Discontinuous Dynamical System with Time Delay

R. Nussbaum, E. Shustin, 2001 .

A differential-delay equation arising in optics and physiology

John Mallet-Paret, Roger D. Nussbaum, J. Mallet-Paret, 1989 .

$C^m$ Eigenfunctions of Perron–Frobenius operators and a new approach to numerical computation of Hausdorff dimension: applications in $\mathbb R^1$

R. Nussbaum, R. S. Falk, 2016, Journal of Fractal Geometry.

Iterated nonlinear maps and Hilbert’s projective metric. II

R. Nussbaum, 1989 .

Birkhoff's version of Hilbert's metric and its applications in analysis

R. Nussbaum, Bas Lemmens, 2013, 1304.7921.

Uniqueness of the fixed point of nonexpansive semidifferentiable maps

S. Gaubert, M. Akian, R. Nussbaum, 2012, 1201.1536.

Omega limit sets of nonexpansive maps: finiteness and cardinality estimates

Roger D. Nussbaum, R. Nussbaum, 1990, Differential and Integral Equations.

Iteration of order preserving subhomogeneous maps on a cone

Marianne Akian, Bas Lemmens, Stephane Gaubert, 2004, Mathematical Proceedings of the Cambridge Philosophical Society.

Estimates of the periods of periodic points for nonexpansive operators

Roger D. Nussbaum, R. Nussbaum, 1991 .

A limit set trichotomy for self-mappings of normal cones in banach spaces

Roger D. Nussbaum, Ulrich Krause, U. Krause, 1993 .

Lower and upper bounds for ω-limit sets of nonexpansive maps

S. M. Verduyn Lunel, Roger D. Nussbaum, Bas Lemmens, 2001 .

Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation

John Mallet-Paret, Roger D. Nussbaum, J. Mallet-Paret, 1986 .

A Hopf global bifurcation theorem for retarded functional differential equations

R. Nussbaum, 1978 .

John Mallet-Paret 60

S. Chow, H. Walther, R. Nussbaum, 2016 .

A global bifurcation theorem with applications to functional differential equations

Roger D. Nussbaum, R. Nussbaum, 1975 .

The range of periods of periodic solutions of x′(t) = − αf(x(t − 1))

Roger D. Nussbaum, R. Nussbaum, 1977 .

Periodic solutions of some nonlinear, autonomous functional differential equations. II

Roger D. Nussbaum, R. Nussbaum, 1973 .

Periodic solutions of some nonlinear autonomous functional differential equations

Roger D. Nussbaum, R. Nussbaum, 1974 .

Iterated linear maps on a cone and Denjoy–Wolff theorems

Roger D. Nussbaum, Brian Lins, R. Nussbaum, 2006 .

Finsler structures for the part metric and Hilbert's projective metric and applications to ordinary differential equations

Roger D. Nussbaum, R. Nussbaum, 1994, Differential and Integral Equations.

Entropy minimization, DAD problems, and doubly stochastic kernels

Jonathan M. Borwein, Adrian S. Lewis, Roger D. Nussbaum, 1994 .

Intricate Structure of the Analyticity Set for Solutions of a Class of Integral Equations

J. Mallet-Paret, R. Nussbaum, 2019, Journal of Dynamics and Differential Equations.

Asymptotic estimates for the periods of periodic solutions of a differential-delay equation.

R. Nussbaum, S. Chapin, 1984 .

Asymptotic homogenization for delay-differential equations and a question of analyticity

J. Mallet-Paret, R. Nussbaum, 2020, Discrete & Continuous Dynamical Systems - A.

Iteration of order preserving subhomogeneous maps on a cone

S. Gaubert, M. Akian, R. Nussbaum, 2004, Mathematical Proceedings of the Cambridge Philosophical Society.

Detecting fixed points of nonexpansive maps by illuminating the unit ball

R. Nussbaum, Bas Lemmens, Brian Lins, 2016, 1607.01602.

Denjoy-Wolff theorems for Hilbert’s and Thompson’s metric spaces

R. Nussbaum, Bas Lemmens, Brian Lins, 2014, Journal d'Analyse Mathématique.

A metric inequality for the Thompson and Hilbert geometries

R. Nussbaum, C. Walsh, 2004, math/0405130.

Differential-delay equations with two time lags

Roger D. Nussbaum, R. Nussbaum, 1978 .

Idempotency: Periodic points of nonexpansive maps

R. Nussbaum, 1998 .

Cranberry proanthocyanidins are cytotoxic to human cancer cells and sensitize platinum‐resistant ovarian cancer cells to paraplatin

R. Nussbaum, Ajay P. Singh, N. Vorsa, 2009, Phytotherapy Research.

A metric inequality for the Thompson and Hilbert geometries

Roger D. Nussbaum, Cormac Walsh, R. Nussbaum, 2004, math/0405130.

Approximation by polynomials with nonnegative coefficients and the spectral theory of positive operators

Roger D. Nussbaum, R. Nussbaum, Bertram Walsh, 1998 .

Eigenvectors of nonlinear positive operators and the linear Krein-Rutman theorem

Roger D. Nussbaum, R. Nussbaum, 1981 .

Quasinormal cones in Banach spaces

E. N. Dancer, R. Nussbaum, C. Stuart, 1983 .

Applications to matrix scaling problems

Roger D. Nussbaum, Bas Lemmens, R. Nussbaum, 2012 .

I Integral Equations and Operator Theory Periodic Points of Positive Linear Operators and Perron-frobenius Operators

Roger D. Nussbaum, R. Nussbaum, 2022 .

Spectral mapping theorems and perturbation theorems for Browder’s essential spectrum

R. Nussbaum, 1970 .

An elementary proof of the Birkhoff-Hopf theorem

Roger D. Nussbaum, S. P. Eveson, R. Nussbaum, 1995, Mathematical Proceedings of the Cambridge Philosophical Society.

Notes on the Second Eigenvalue of the Google Matrix

R. Nussbaum, 2003, math/0307056.

Bifurcation Theory and Periodic Solutions of Some Autonomous Functional Differential Equations

R. Nussbaum, 1976 .

Analyticity and Nonanalyticity of Solutions of Delay-Differential Equations

J. Mallet-Paret, R. Nussbaum, 2013, SIAM J. Math. Anal..

Continuous extension of order-preserving homogeneous maps

Roger D. Nussbaum, Colin Sparrow, Andrew D. Burbanks, 2001, Kybernetika.

Dynamics of a Quadratic Map in Two Complex Variables

Roger D. Nussbaum, R. Nussbaum, Stephen J. Greenfield, 2001 .

Applications of the Birkhoff–Hopf theorem to the spectral theory of positive linear operators

Roger D. Nussbaum, S. P. Eveson, R. Nussbaum, 1995, Mathematical Proceedings of the Cambridge Philosophical Society.

Tensor Products, Positive Linear Operators, and Delay-Differential Equations

J. Mallet-Paret, R. Nussbaum, John Mallet-Paret, 2012, Journal of Dynamics and Differential Equations.

Nonlinear Perron-Frobenius Theory

Bas Lemmens, Roger D. Nussbaum, R. Nussbaum, 2012 .

Quantitative GC determination of water in small samples

R. Nussbaum, B. Wolf, D. Lischke, 2000 .

A NONLINEAR INTEGRAL EQUATION

R. Nussbaum, N. Baxter, 1981 .

A basis theorem for a class of max-plus eigenproblems

J. Mallet-Paret, R. Nussbaum, 2003 .

Some fixed point theorems

R. Nussbaum, 1971 .

Multiple transition layers in a singularly perturbed differential-delay equation

John Mallet-Paret, Roger D. Nussbaum, J. Mallet-Paret, 1993, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Chapter 10 Functional differential equations

R. Nussbaum, 2002 .

Global bifurcation of periodic solutions of some autonomous functional differential equations

R. Nussbaum, 1976 .

Periodic solutions of autonomous functional differential equations

R. Nussbaum, 1973 .

The radius of the essential spectrum

R. Nussbaum, 1970 .

Periodic solutions for functional differential equations with multiple state-depend time lags

John Mallet-Paret, Roger D. Nussbaum, J. Mallet-Paret, 1994 .

Circulant matrices and differential-delay equations

Roger D. Nussbaum, R. Nussbaum, 1985 .

The arithmetic-geometric mean and its generalizations for noncommuting linear operators

Roger D. Nussbaum, Joel E. Cohen, R. Nussbaum, 1988 .

Degree theory for local condensing maps

Roger D. Nussbaum, R. Nussbaum, 1972 .

The fixed point index for local condensing maps

R. Nussbaum, 1971 .

Estimates for the Number of Solutions of Operator Equations

R. Nussbaum, 1971 .

The topological degree for noncompact nonlinear mappings in Banach spaces

Roger D. Nussbaum, Felix E. Browder, F. Browder, 1968 .

Eigenvectors of Order‐Preserving Linear Operators

Roger D. Nussbaum, R. Nussbaum, 1998 .

Inequivalent measures of noncompactness and the radius of the essential spectrum

J. Mallet-Paret, R. Nussbaum, 2011 .

Topological Methods for Ordinary Differential Equations

M. Martelli, R. Nussbaum, J. Mawhin, 1993 .

Inequivalent measures of noncompactness

J. Mallet-Paret, R. Nussbaum, 2011 .

Periodic solutions of special differential equations: an example in non-linear functional analysis

R. Nussbaum, 1978, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Positive operators and elliptic eigenvalue problems

R. Nussbaum, 1984 .

PERIODIC SOLUTIONS OF SOME NONLINEAR INTEGRAL EQUATIONS

R. Nussbaum, 1977 .

Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations

John Mallet-Paret, Roger D. Nussbaum, J. Mallet-Paret, 2011 .

Boundary layer phenomena for differential-delay equations with state-dependent time lags: III

John Mallet-Paret, Roger D. Nussbaum, J. Mallet-Paret, 2003 .

Uniqueness and nonuniqueness for periodic solutions of x′(t) = −g(x(t − 1))

Roger D. Nussbaum, R. Nussbaum, 1979 .

A folk theorem in the spectral theory of $C_{0}$-semigroups.

R. Nussbaum, 1984 .

Boundary layer phenomena for differential-delay equations with state dependent time lags: II.

John Mallet-Paret, Roger D. Nussbaum, J. Mallet-Paret, 1996 .

Convergence of iterates of a nonlinear operator arising in statistical mechanics

Roger D. Nussbaum, R. Nussbaum, 1991 .

Eigenvalues for a class of homogeneous cone maps arising from max-plus operators

John Mallet-Paret, Roger D. Nussbaum, J. Mallet-Paret, 2002 .

Limiting Profiles for Solutions of Differential-Delay Equations

R. Nussbaum, 2003 .

Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps

S. M. Verduyn Lunel, Roger D. Nussbaum, S. Lunel, 1999 .

Continuity of the cone spectral radius

Bas Lemmens, R. Nussbaum, Bas Lemmens, 2011, 1107.4532.

Tensor Products, Positive Linear Operators, and Delay-Differential Equations

J. Mallet-Paret, R. Nussbaum, 2012, Journal of Dynamics and Differential Equations.

Asymptotic fixed point theory and the beer barrel theorem

J. Mallet-Paret, R. Nussbaum, 2008 .

I Integral Equations and Operator Theory Existence, Uniqueness and Analyticity for Periodic Solutions of a Non-linear Convolution Equation. 2 Notations and Results

R. Nussbaum, A. Asselah, 2022 .

Positive operators and Hausdorff dimension of invariant sets

S. Lunel, R. Nussbaum, A. Priyadarshi, 2012 .

Some nonlinear weak ergodic theorems

R. Nussbaum, 1990 .

Some asymptotic fixed point theorems

R. Nussbaum, 1972 .

The fixed point index and fixed point theorems

R. Nussbaum, 1993 .

The Fixed Point Index And Some Applications

Roger D. Nussbaum, R. Nussbaum, 1985 .

On variational principles for the generalized principal eigenvalue of second order elliptic operators and some applications

R. Nussbaum, Y. Pinchover, 1992 .

A geometric approach to the fixed point index.

R. Nussbaum, 1971 .

A New Approach to Numerical Computation of Hausdorff Dimension of Iterated Function Systems: Applications to Complex Continued Fractions

R. Nussbaum, R. S. Falk, 2016, Integral Equations and Operator Theory.

$${{C^m}}$$Cm Positive Eigenvectors for Linear Operators Arising in the Computation of Hausdorff Dimension

R. Nussbaum, 2016 .

Generalizing the Krein–Rutman theorem, measures of noncompactness and the fixed point index

John Mallet-Paret, Roger D. Nussbaum, J. Mallet-Paret, 2010 .

Fixed point theorems and Denjoy-Wolff theorems for Hilbert's projective metric in infinite dimensions

Roger D. Nussbaum, R. Nussbaum, 2007 .

Asymptotic estimates for the periods of periodic points of non-expansive maps

Roger D. Nussbaum, Sjoerd Verduyn Lunel, S. Lunel, 2003, Ergodic Theory and Dynamical Systems.

Detecting fixed points of nonexpansive maps by illuminating the unit ball

R. Nussbaum, Bas Lemmens, Brian Lins, 2018, Israel Journal of Mathematics.

Stability of periodic solutions of state-dependent delay-differential equations

John Mallet-Paret, Roger D. Nussbaum, J. Mallet-Paret, 2011 .

A quadratic integral equation

R. Nussbaum, 1980 .

Integral Equations and Operator Theory Cm Positive Eigenvectors for Linear Operators Arising in the Computation of Hausdor ff Dimension

R. Nussbaum, 2016 .

Numerical Functional Analysis and Optimization ll ( l-2 ) : 33-44 1990 CONVEXITY PROPERTIES OF GENERALIZATIONS OF THE ARITHMETIC-GEOMETRIC MEAN

R. Nussbaum, Joel E. Cohen, 2005 .

Wright's equation has no solutions of period four

R. Nussbaum, 1989, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Tensor Products, Positive Linear Operators, and Delay-Differential Equations

J. Mallet-Paret, R. Nussbaum, 2012, Journal of Dynamics and Differential Equations.

Positive solutions of nonlinear elliptic boundary value problems

R. Nussbaum, 1975 .

Asymptotic fixed point theorems for local condensing maps

R. Nussbaum, 1971 .

Generalizing the fixed point index

R. Nussbaum, 1977 .

The fixed point index and asymptotic fixed point theorems for $k$-set-contractions

Roger D. Nussbaum, R. Nussbaum, 1969 .

Analytic Solutions of Delay-Differential Equations

John Mallet-Paret, Roger D. Nussbaum, J. Mallet-Paret, 2021, Journal of Dynamics and Differential Equations.

A Periodicity Threshold Theorem for Some Nonlinear Integral Equations

Roger D. Nussbaum, R. Nussbaum, 1978 .

Periodic solutions of analytic functional differential equations are analytic.

Roger D. Nussbaum, R. Nussbaum, 1973 .

Denjoy–Wolff theorems, Hilbert metric nonexpansive maps and reproduction–decimation operators

Roger D. Nussbaum, Brian Lins, R. Nussbaum, 2008 .

Lattice isomorphisms and iterates of nonexpansive maps

Roger D. Nussbaum, R. Nussbaum, 1994 .

Some remarks on differential equations of quadratic type

R. Nussbaum, S. Ishikawa, 1991 .

Arithmetic-geometric means of positive matrices

Roger D. Nussbaum, Joel E. Cohen, R. Nussbaum, 1987, Mathematical Proceedings of the Cambridge Philosophical Society.

Idempotency: Periodic points of nonexpansive maps

R. Nussbaum, 1998 .

Entropy Minimization, Hilbert′s Projective Metric, and Scaling Integral Kernels

Roger D. Nussbaum, R. Nussbaum, 1993 .

Periodic points of nonexpansive maps and nonlinear generalizations of the Perron-Frobenius theory

M. Scheutzow, M. Scheutzow, R. Nussbaum, 1998 .

Existence, uniqueness and analyticity for periodic solutions of a non-linear convolution equation

R. Nussbaum, A. Asselah, 2002 .

Global stability, two conjectures and Maple

R. Nussbaum, 2007 .

A generalization of the Ascoli theorem and an application to functional differential equations

Roger D. Nussbaum, R. Nussbaum, 1971 .

Birkhoff's version of Hilbert's metric and applications

R. Nussbaum, Bas Lemmens, 2014 .

Cyclic differential equations and period three solutions of differential-delay equations

R. Nussbaum, A. Potter, 1982 .

Asymptotic analysis of functional differential equations and solutions of long period

R. Nussbaum, 1983 .

A correction of "periodic solutions of some nonlinear, autonomous functional differential equations. II"

R. Nussbaum, 1974 .

Hidden Positivity and a New Approach to Numerical Computation of Hausdorff Dimension: Higher Order Methods pdf

Richard S. Falk, Roger D. Nussbaum, R. Nussbaum, 2020, Journal of Fractal Geometry.

Admissible Arrays and a Nonlinear Generalization of Perron–Frobenius Theory

Michael Scheutzow, Roger D. Nussbaum, M. Scheutzow, 1998 .

Intricate Structure of the Analyticity Set for Solutions of a Class of Integral Equations

J. Mallet-Paret, R. Nussbaum, 2019, Journal of Dynamics and Differential Equations.

Electronic Journal of Qualitative Theory of Differential Equations Gevrey Class Regularity for Analytic Differential-delay Equations

R. Nussbaum, G. Vas, 2022 .