Abstract
A slightly modified version of the celebrated Nirenberg problem concerning expanding maps is considered. A positive answer is given for a type of lattice-expansive operators in discrete Hilbert lattices. Our approach is motivated by the study of the infinite systems of nonlinear equations.
Received: 2008-04-28
Revised: 2009-07-24
Published Online: 2010-07-30
Published in Print: 2010-December
© de Gruyter 2010
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Articles in the same Issue
- On multiobjective nonlinear programming with support functions
- Nirenberg-type problems in Banach lattices
- Semiinfinite multiobjective fractional programming, Part I: Sufficient efficiency conditions
- Some properties of certain meromorphically multivalent functions associated with the extended multiplier transformation
- BVP for Carathéodory inclusions in Hilbert spaces: sharp existence conditions and applications
- Remarks on the spectrum of a compact convex set of compact operators
- Harmonic sums and integral representations
- On a nonlinear dynamic integrodifferential equation on time scales
- An oscillation criteria for third order neutral delay differential equations
- On univalent functions defined by a generalized differential operator
Keywords for this article
Topological degree;
surjection theorem;
Banach lattice;
expanding map;
Nirenberg problem
Articles in the same Issue
- On multiobjective nonlinear programming with support functions
- Nirenberg-type problems in Banach lattices
- Semiinfinite multiobjective fractional programming, Part I: Sufficient efficiency conditions
- Some properties of certain meromorphically multivalent functions associated with the extended multiplier transformation
- BVP for Carathéodory inclusions in Hilbert spaces: sharp existence conditions and applications
- Remarks on the spectrum of a compact convex set of compact operators
- Harmonic sums and integral representations
- On a nonlinear dynamic integrodifferential equation on time scales
- An oscillation criteria for third order neutral delay differential equations
- On univalent functions defined by a generalized differential operator