共查询到20条相似文献,搜索用时 15 毫秒
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《Stochastic Processes and their Applications》2005,115(9):1503-1517
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Iz-iddine EL-Fassi 《Journal of Mathematical Analysis and Applications》2018,457(1):322-335
Let be the set of real numbers. In this paper, we first introduce the notions of non-Archimedean -normed spaces and we will reformulate the fixed point theorem [10, Theorem 1] in this space, after it, we introduce and solve the radical quintic functional equation Also, under some weak natural assumptions on the function , we show that this theorem is a very efficient and convenient tool for proving the hyperstability results when satisfy the following radical quintic inequality with . 相似文献
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In part 1, given n different ways of averaging n positive numbers, we iterate the resulting map in . We prove convergence toward the diagonal, with rate estimates under smoothness assumptions. In part 2, we consider the elementary symmetric means of order p applied to the values , of a given continuous positive function a on the normalized interval and we let . When , we prove that it admits a limit as , called the f-mean of a, which moreover coincides with whenever . We record similar, quite immediate, results on the geometric side . 相似文献
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Taras Banakh Andrzej Kucharski Marta Martynenko 《Topology and its Applications》2012,159(10-11):2679-2693
A map between topological spaces is skeletal if the preimage of each nowhere dense subset is nowhere dense in X. We prove that a normal functor is skeletal (which means that F preserves skeletal epimorphisms) if and only if for any open surjective map between metrizable zero-dimensional compacta with two-element non-degeneracy set the map is skeletal. This characterization implies that each open normal functor is skeletal. The converse is not true even for normal functors of finite degree. The other main result of the paper says that each normal functor preserves the class of skeletally generated compacta. This contrasts with the known ??epin?s result saying that a normal functor is open if and only if it preserves the class of openly generated compacta. 相似文献
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M. Carozza F. Giannetti A. Passarelli di Napoli C. Sbordone R. Schiattarella 《Journal of Mathematical Analysis and Applications》2018,457(2):1232-1246
In this paper we introduce the class of the inner p-quasiconformal mappings, that are homeomorphisms , , where is the unit disk, such that there exists a constant for which the following distortion inequalityis satisfied. The study of such mappings is motivated by the fact that their inverses satisfy the distortion inequality introduced in [11]. Here we give a characterization of them so that their components solve a suitable uniformly elliptic p-harmonic system. Moreover, for mappings satisfying the previous distortion inequality with not necessarily constant, we identify the homeomorphism f whose p-distortion function is minimal in norm. 相似文献
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Qi Han 《Bulletin des Sciences Mathématiques》2017,141(1):46-71
In this paper, we study mainly the existence of multiple positive solutions for a quasilinear elliptic equation of the following form on , when ,
(0.1)
Here, is a suitable potential function, , is a continuous function of N-superlinear and subcritical exponential growth without having the Ambrosetti–Rabinowitz condition, while is a constant. A suitable Moser–Trudinger inequality and the compact embedding are proved to study problem (0.1). Moreover, the compact embedding is also analyzed to investigate the existence of a positive ground state to the following nonlinear Schrödinger equation(0.2)
with potentials vanishing at infinity in a measure-theoretic sense when . 相似文献
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《Discrete Mathematics》2007,307(11-12):1347-1355
A k-ranking of a graph G is a mapping such that any path with endvertices x and y satisfying and contains a vertex z with . The ranking number of G is the minimum k admitting a k-ranking of G. The on-line ranking number of G is the corresponding on-line invariant; in that case vertices of G are coming one by one so that a partial ranking has to be chosen by considering only the structure of the subgraph of G induced by the present vertices. It is known that . In this paper it is proved that . 相似文献
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Majoration of the dimension of the space of concatenated solutions to a specific pantograph equation
Jean-François Bertazzon 《Comptes Rendus Mathematique》2018,356(3):235-242
For each , we consider the integral equation: where f is the concatenation of two continuous functions along a word such that , where σ is a λ-uniform substitution satisfying some combinatorial conditions.There exists some non-trivial solutions ([1]). We show in this work that the dimension of the set of solutions is at most two. 相似文献
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Risong Li 《Chaos, solitons, and fractals》2012,45(6):753-758
Let (X,d) be a compact metric space and (κ(X),dH) be the space of all non-empty compact subsets of X equipped with the Hausdorff metric dH. The dynamical system (X,f) induces another dynamical system , where f:X → X is a continuous map and is defined by for any A ∈ κ(X). In this paper, we introduce the notion of ergodic sensitivity which is a stronger form of sensitivity, and present some sufficient conditions for a dynamical system (X,f) to be ergodically sensitive. Also, it is shown that is syndetically sensitive (resp. multi-sensitive) if and only if f is syndetically sensitive (resp. multi-sensitive). As applications of our results, several examples are given. In particular, it is shown that if a continuous map of a compact metric space is chaotic in the sense of Devaney, then it is ergodically sensitive. Our results improve and extend some existing ones. 相似文献
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《Stochastic Processes and their Applications》2005,115(2):275-298
In this paper, we consider a uniformly ergodic Markov process valued in a measurable subset E of with the unique invariant measure , where the density f is unknown. We establish the large deviation estimations for the nonparametric kernel density estimator in and for , and the asymptotic optimality in the Bahadur sense. These generalize the known results in the i.i.d. case. 相似文献
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