On the completeness of the system $$\{ {t^{{\lambda _n}}}{\log ^{{m_n}}}t\} $$ in C 0(E)

Yang, Xiaoyan

doi:10.1007/s10587-012-0035-4

Cited by 3 publications

(3 citation statements)

References 17 publications

(25 reference statements)

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“…In Fig. 4b, it is obvious that compared with GO samples, the D-band of SBR/GO nanocomposites has little change, while the G-band shifts to a higher peak position, which suggests that p-p conjugation interaction exists between matrix and fillers [22].…”

Section: Raman Analysismentioning

confidence: 97%

Impact of various oxidation degrees of graphene oxide on the performance of styrene–butadiene rubber nanocomposites

Yang

Yin

Zhang

et al. 2017

Polymer Engineering & Sci

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In this work, graphene oxide (GO) with various oxidation degrees were synthesized by adjusting the dosage of oxidation agent based on a modified Hummers' method, and were then used for the fabrication of the styrene–butadiene rubber (SBR)/GO nanocomposites through latex coagulation method, followed by a high‐temperature cure process. The vulcanization characteristics, thermal stability, mechanical properties, thermal conductivity as well as solvent resistance of SBR/GO nanocomposites were investigated. The results indicated that various surface structures of GO due to oxidation degrees may lead to different dispersion states of GO in the rubber matrix, and thus greatly influenced the cure rate, mechanical properties as well as thermal conductivity of SBR/GO nanocomposites. The optimal (moderate) oxidation degree of GO was achieved at the oxidation agent (KMnO4)/graphite weight ratio 9/5, for which case the tensile strength, tear strength, and thermal conductivity of SBR/GO nanocomposites increased by 271.3%, 112.3%, and 28.6%, respectively, compared with those of neat SBR. In addition, the mentioned nanocomposites also showed the best solvent resistance in toluene. POLYM. ENG. SCI., 58:1409–1418, 2018. © 2017 Society of Plastics Engineers

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Section: Raman Analysismentioning

confidence: 97%

Impact of various oxidation degrees of graphene oxide on the performance of styrene–butadiene rubber nanocomposites

Yang

Yin

Zhang

et al. 2017

Polymer Engineering & Sci

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“…The completeness of the eigenmodes of a grounded parallel plate waveguide is given in [10], whose proof is based on a general theorem governing the completeness of sets of complex exponentials, which is similar to the complex-analytic approach to [18,20] and [19].…”

Section: Introduction and Notationsmentioning

confidence: 99%

“…Inspired by [2], in this paper, we will investigate the completeness of root vector systems associated to Schrödinger operators by spectral conditions rather than boundary conditions. Our proof is based on the complex-analytic approach which is similar to [10,18,20] and [19]. More accurately, we will consider PDE of the form…”

Section: Introduction and Notationsmentioning

confidence: 99%

On completeness of root vectors of Schrodinger operators: a spectral approach

Yang¹

2017

J. Nonlinear Sci. Appl.

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We study complete properties of root vectors of Schrödinger operators. More accurately, denote by B(r 0 ) be the ball centered at the origin with radius r 0 and L 1 (B(r 0 )) the space which consists of real functions f(x) satisfying B(r 0 ) |f(x)|dx < ∞, then the complete properties of eigenvectors for Schrödinger equation are characterized. Our characterization depends on the sum of eigenvalues. Our proof is based on a complex-analytic conjugate approach which is widely used in the investigation of completeness of function systems in Banach spaces.

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The Multivariate Müntz-Szasz Problem in Weighted Banach Space onRn

Yang

2014

Abstract and Applied Analysis

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The purpose of this paper is to give an extension of Müntz-Szasz theorems to multivariable weighted Banach space. Denote by{λk=(λk1,λk2,...,λkn)}k=1∞a sequence of real numbers inR+n. The completeness of monomials{tλk}inCαis investigated, whereCαis the weighted Banach spaces which consist of complex continuous functionsfdefined onRnwithf(t)exp(-α(t))vanishing at infinity in the uniform norm.

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On the completeness of the system $$\{ {t^{{\lambda _n}}}{\log ^{{m_n}}}t\} $$ in C 0(E)

Cited by 3 publications

References 17 publications

Impact of various oxidation degrees of graphene oxide on the performance of styrene–butadiene rubber nanocomposites

Impact of various oxidation degrees of graphene oxide on the performance of styrene–butadiene rubber nanocomposites

On completeness of root vectors of Schrodinger operators: a spectral approach

The Multivariate Müntz-Szasz Problem in Weighted Banach Space onRn

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