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111.
Nikolai A. Kudryashov Dmitry I. SinelshchikovMaria V. Demina 《Physics letters. A》2011,375(7):1074-1079
The generalized Bretherton equation is studied. The Bäcklund transformations between traveling wave solutions of the generalized Bretherton equation and solutions of polynomial ordinary differential equation are constructed. The classification problem for meromorphic solutions of the latter equation is discussed. Several new families of exact solutions for the generalized Brethenton equation are given. 相似文献
112.
Nikolai Nikolov 《Annali di Matematica Pura ed Applicata》2014,193(6):1595-1605
Estimates for invariant distances of convexifiable, \(\mathbb{C }\) -convexifiable and planar domains are given. 相似文献
113.
Andrey E. Kovtanyuk Alexander Yu. Chebotarev Nikolai D. Botkin Karl-Heinz Hoffmann 《Journal of Mathematical Analysis and Applications》2014
The problem of optimal heat removal from a three-dimensional domain is considered. The specific of the study consist in accounting for the radiative heat transfer. The so-called P1 approximation of the radiative heat transfer equation is used, which reduces the model to a nonlinear elliptic system. A problem of optimal boundary control of this system is considered. The solvability of the control problem is proved, and necessary optimality conditions of first order are derived. Examples of non-singularity of these conditions are given. 相似文献
114.
Let V be a linear space over a field K of dimension n > 1, and let \({G \leq {\rm GL}(V)}\) be an irreducible linear group. In this paper we prove that the group G contains an element g such that rank \({(g - \alpha E_{n}) \geq \frac{n}{2}}\) for every \({\alpha \in K}\) , where E n is the identity operator on V. This estimate is sharp for any \({n = 2^{m}}\) . The existence of such an element implies that the conjugacy class of G in GL(V) intersects the big Bruhat cell \({B\dot{w}_{0}B}\) of GL(V) non-trivially (here B is a fixed Borel subgroup of G). The latter fact is equivalent to the existence of a complete flag \({\mathfrak{F}}\) such that the flags \({g(\mathfrak{F}), \mathfrak{F}}\) are in general position for some g ∈ G. 相似文献
115.
Irena Akhrem Dzhul’etta Avetisyan Lyudmila Afanas’eva Nikolai Kagramanov Pavel Petrovskii Alexander Orlinkov 《Tetrahedron letters》2010,51(6):907-911
A novel ‘alkane-like’ methodology for the direct and very simple one-pot functionalization of amides and an ester of 1-adamantanecarboxylic acid provides access to new and synthetically challenging 1,3-dicarbonyl-containing adamantanoid compounds with the same or different functional groups. 相似文献
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The synthesis of a series of 3-desoxyanthocyanidins via a BF3·Et2O-mediated aldol condensation between a substituted acetophenone and salicylaldehyde derivatives is described. Using this new synthetic methodology the synthesis of tricetanidin, a natural pigment isolated from black tea, was accomplished. 相似文献
120.
Michail I. Alymov Nikolai M. Rubtsov Boris S. Seplyarskii Victor A. Zelensky Alexey B. Ankudinov Georgii I. Tsvetkov Victor I. Chernysh 《Mendeleev Communications》2018,28(4):447-449
It was shown that the synthesis of Cu nanopowder by thermal decomposition afforded chemically purer (without oxides) and finer (specific surface value ~45 m2 g?1) product than the synthesis by chemical reduction. The latter method leads to pyrophoric nanopowders containing detectable amounts of copper oxides. 相似文献