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1.
本文证明若A =(A1 ,A2 ,… )和B =(B1 ,B2 ,… )是Hilber空间H上的交换的正常算子列 ,满足条件 ∑∞j=1A j Aj=I和 ∑∞j=1B jBj =I.则对H上任何有界线性算子X ,由 ∑∞j=1AjXBj =X 可推得 :等式AjX =XBj和A jX =XB j 对所有的j成立 相似文献
2.
刘继成 《数学物理学报(A辑)》2006,26(4):485-492
该文得到了在(p,r) -容度及 Holder 范数意义下的Schilder 定理. 作为它的一个应用, 作者在此情形下证明了一个更强的Strassen 重对数律. 相似文献
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《数学研究通讯：英文版》2016,(2):97-104
In this note, we prove a concentration theorem of (R, p)-anders. As a simple corollary, one can prove that (X, p)-anders do not admit coarse embeddings into Hadamard manifolds with bounded sectional curvatures. 相似文献
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In this paper, we further investigate the problem of commutativity up to a factor (or λ-commutativity) in the setting of bounded and unbounded linear operators in a complex Hilbert space. The results are based on a new approach to the problem. We finish the paper by a conjecture on the commutativity of self-adjoint operators. 相似文献
6.
Tuncer Acar 《Mathematical Methods in the Applied Sciences》2016,39(10):2685-2695
In this paper, we introduce new modifications of Szász–Mirakyan operators based on (p,q)‐integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4. Some approximation properties of new operators are explored: the uniform convergence over bounded and unbounded intervals is established, direct approximation properties of the operators in terms of the moduli of smoothness is obtained and Voronovskaya theorem is presented. For the particular case p = 1, the previous results for q‐Sz ász–Mirakyan operators are captured. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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In this paper,we consider the existence for periodic solutions of nonautonomous second-order differential systems with (q,p)-Laplacian by using the least action principle and the minimax methods. 相似文献
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令n是一个正整数,[n]={1,2,…,n}.利用集合[叫上的s-子集族((ns))构作了二元(p,r,d)-叠加码,研究了它的容错和析取性质并介绍了它在非适应性群测(Nonadaptive Group Testing)方面的应用. 相似文献
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利用变分不等式解的存在性的结论,研究了一类与(p,q)-Laplace算子相关的非线性Dirichlet椭圆系解的存在性的抽象结论.然后,利用极大单调算子零点的结论,构造了一种迭代格式强收敛到上述椭圆系的解.本文所研究的椭圆系及所用方法是对以往一些工作的推广和补充. 相似文献
10.
Liang Zhao 《Mathematical Methods in the Applied Sciences》2014,37(5):744-751
In this paper, we show the following main results. Let (Mn,g(t)), t ∈ [0,T), be a solution of the unnormalized Hk ? flow on a closed manifold, and λ1,p(t) be the first eigenvalue of the p‐Laplace operator. If there exists a nonnegative constant ε such that in M × [0,T) and in M × [0,T),then λ1,p(t) is increasing and the differentiable almost everywhere along the unnormalized Hk ? flow on [0,T). At last, we discuss some useful monotonic quantities. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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卞秋菊 《数学的实践与认识》2010,40(9)
研究一类广义分数可扩图即分数(n,k,d)-图的性质.图G是分数(n,k,d)-图即删去G的任意n个顶点后的剩余子图G′含有k-对集,且G′的任意k-对集都可扩充成G′的分数亏格-d对集.得到了分数(n,k,d)-图分别添加边和顶点的一系列递推关系. 相似文献
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P. Njionou Sadjang 《Journal of Difference Equations and Applications》2017,23(9):1562-1583
Two (p, q)-Laplace transforms are introduced and their relative properties are stated and proved. Applications are made to solve some (p, q)-linear difference equations. 相似文献
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Ying-Chieh Lin;Kuan-Hsiang Wang;Tsung-fang Wu; 《Mathematical Methods in the Applied Sciences》2024,47(18):14353-14374
In this paper, we study the existence, nonexistence and multiplicity results to a class of quasilinear elliptic system involving (p,q)$$ left(p,qright) $$-Laplacian by exploiting the competition of nonlinearities. We mainly propose a “like” Gagliardo–Nirenberg inequality for a pair of functions, and use it to combine the variational method to prove the existence, nonexistence and multiplicity of nontrivial nonnegative solutions for a quasilinear elliptic system involving (p,q)$$ left(p,qright) $$-Laplacian under different conditions between parameters. 相似文献
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In this paper, we are concerned with the existence of positive solutions for the following nonlocal BVP of fractional DEs with p‐Laplacian operator By using the fixed point theorem in a cone, multiplicity solutions of the BVP are obtained. An example is also given to show the effectiveness of the obtained result. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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《Annals of Differential Equations》2012,(3):269-275
By the Schauder fixed point theory,this paper establishes the existence of positive solutions to a(k,n k) m-point boundary value problem.We show that there exists a positive constant b such that the problem has at least one positive solution when the homogeneous boundary parameter is smaller than b,and no positive solution when this parameter is greater than b. 相似文献
16.
We prove an abstract theorem on the preservation of the absolutely continuous spectrum for block operator matrices. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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In this article, based on the variational approach, the existence of at least one nontrivial solution is studied for (p, q)‐Laplacian type impulsive fractional differential equations involving Riemann‐Liouville derivatives. Without the usual Ambrosetti‐Rabinowitz condition, the nonlinearity f in the paper is considered under some suitable assumptions. 相似文献
18.
Isaac Pesenson 《Mathematische Nachrichten》2009,282(2):253-269
By using Bernstein‐type inequality we define analogs of spaces of entire functions of exponential type in Lp (X), 1 ≤ p ≤ ∞, where X is a symmetric space of non‐compact. We give estimates of Lp ‐norms, 1 ≤ p ≤ ∞, of such functions (the Nikolskii‐type inequalities) and also prove the Lp ‐Plancherel–Polya inequalities which imply that our functions of exponential type are uniquely determined by their inner products with certain countable sets of measures with compact supports and can be reconstructed from such sets of “measurements” in a stable way (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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We consider k‐factorizations of the complete graph that are 1‐rotational under an assigned group G, namely that admit G as an automorphism group acting sharply transitively on all but one vertex. After proving that the k‐factors of such a factorization are pairwise isomorphic, we focus our attention to the special case of k = 2, a case in which we prove that the involutions of G necessarily form a unique conjugacy class. We completely characterize, in particular, the 2‐factorizations that are 1‐rotational under a dihedral group. Finally, we get infinite new classes of previously unknown solutions to the Oberwolfach problem via some direct and recursive constructions. © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 87–100, 2008 相似文献