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Remarks on Surjectivity of Gradient Operators [PDF]
Let X be a real Banach space with dual X∗ and suppose that F:X→X∗. We give a characterisation of the property that F is locally proper and establish its stability under compact perturbation.
Raffaele Chiappinelli, David E. Edmunds
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Some Results on Non-Archimedean Operators Theory [PDF]
In this paper, we define the notions of semi-regular operator, analytical core, surjectivity modulus and the injectivity modulus of bounded linear operators on non-Archimedean Banach spaces over $\mathbb{K}.$ We give a necessary and sufficient condition ...
Jawad Ettayb
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Linearization of discrete-time control system by state transformation [PDF]
This paper presents necessary and sufficient linearizability conditions by state transformation for discrete-time multi-input nonlinear control system under the mild assumption on the surjectivity property and describes how to find the state ...
Tanel Mullari, Ülle Kotta
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Properties of Finitely Supported Self - Mappings on the Finite Powerset of Atoms [PDF]
The theory of finitely supported algebraic structures represents a reformulation of Zermelo-Fraenkel set theory in which every classical structure is replaced by a finitely supported structure according to the action of a group of permutations of ...
Andrei Alexandru
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Topological properties of cellular automata on trees [PDF]
We prove that there do not exist positively expansive cellular automata defined on the full k-ary tree shift (for k>=2). Moreover, we investigate some topological properties of these automata and their relationships, namely permutivity, surjectivity ...
Gabriele Fici, Francesca Fiorenzi
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Solutions for Some Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 1
This paper brings together methods to solve and/or characterize solutions of some problems of mathematical physics equations involving p-Laplacian and p-pseudo-Laplacian.
Irina Meghea
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A hierarchy in the family of real surjective functions
This expository paper focuses on the study of extreme surjective functions in ℝℝ. We present several different types of extreme surjectivity by providing examples and crucial properties.
Fenoy-Muñoz Mar +3 more
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Finite subgroups of automorphisms of K3 surfaces
We give a complete classification of finite subgroups of automorphisms of K3 surfaces up to deformation. The classification is in terms of Hodge theoretic data associated to certain conjugacy classes of finite subgroups of the orthogonal group of the K3 ...
Simon Brandhorst, Tommy Hofmann
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Nonlocal elliptic hemivariational inequalities
This paper is devoted to the existence of solutions for the hemivariational inequalities involving fractional Laplace operator by means of the well-known surjectivity result for pseudomonotone mappings.
Zhenhai Liu, Jinggang Tan
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Subpullbacks and Po-flatness Properties of S-posets [PDF]
In (Golchin A. and Rezaei P., Subpullbacks and flatness properties of S-posets. Comm. Algebra. 37: 1995-2007 (2009)) study was initiated of flatness properties of right -posets over a pomonoid that can be described by surjectivity of corresponding to ...
A. Golchin, L. Nouri
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