Results 51 to 60 of about 30,121 (246)
Fredholm Modules for Quantum Euclidean Spheres
, 2002 The quantum Euclidean spheres, $S_q^{N-1}$, are (noncommutative) homogeneous spaces of quantum orthogonal groups, $\SO_q(N)$. The *-algebra $A(S^{N-1}_q)$ of polynomial functions on each of these is given by generators and relations which can be ...
Connes +8 more
core +3 more sources
Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type
International Journal of Mathematics and Mathematical Sciences, 2010 We establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point theorems.
K. Balachandran, J.-H. Kim
doaj +1 more source
Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations
Advanced Nonlinear Studies, 2020 By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator.
Benevieri Pierluigi, Iannizzotto Antonio
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Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage
Mathematical Methods in the Applied Sciences, Volume 48, Issue 18, Page 16433-16444, December 2025.ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
wiley +1 more source
Sc-Smoothness, Retractions and New Models for Smooth Spaces
, 2010 We survey a (nonlinear) Fredholm theory for a new class of ambient spaces called polyfolds, and develop the analytical foundations for some of the applications of the theory.
Hofer, Helmut +2 more
core +1 more source
Floer theory for the variation operator of an isolated singularity
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae +3 more
wiley +1 more source
Orientability of Fredholm families and topological degree [PDF]
, 1994 We construct a degree theory for oriented Fredholm mappings of index zero between open subsets of Banach spaces and between Banach manifolds. Our approach is based on the orientation of Fredholm mappings: it does not use Fredholm structures on the domain
Fitzpatrick, P. +2 more
core
Integral operators with the generalized sine-kernel on the real axis
, 2010 The asymptotic properties of integral operators with the generalized sine kernel acting on the real axis are studied. The formulas for the resolvent and the Fredholm determinant are obtained in the large x limit. Some applications of the results obtained
A. G. Izergin +32 more
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A Fredholm alternative for quasilinear elliptic equations with right-hand side measure
Advances in Nonlinear Analysis, 2016 We consider a quasilinear elliptic equation with right-hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative. For this purpose we develop a variant of degree theory
Colturato Michele, Degiovanni Marco
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Gradient Crystal Plasticity Modeling of Laminate Microstructures
GAMM-Mitteilungen, Volume 48, Issue 4, November 2025.Abstract Metallic materials may show an ultra‐fine lamellar morphology leading to desirable macroscopic mechanical properties. In this paper, an analytical method for modeling the size‐dependent mechanical behavior of material systems with lamellar microstructure is proposed.
Claudius Klein, Thomas Böhlke
wiley +1 more source