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941.
O?uzhan Demirel Emine Soytürk Seyrantepe 《Journal of Mathematical Analysis and Applications》2011,374(2):566-572
In this paper we present a new characterization of Möbius transformations by use of hyperbolic regular polygons. 相似文献
942.
Let F denote a field and let V denote a vector space over F with finite positive dimension. We consider a pair of linear transformations A:V→V and A∗:V→V that satisfy the following conditions: (i) each of A,A∗ is diagonalizable; (ii) there exists an ordering of the eigenspaces of A such that A∗Vi⊆Vi-1+Vi+Vi+1 for 0?i?d, where V-1=0 and Vd+1=0; (iii) there exists an ordering of the eigenspaces of A∗ such that for 0?i?δ, where and ; (iv) there is no subspace W of V such that AW⊆W, A∗W⊆W, W≠0, W≠V. We call such a pair a tridiagonal pair on V. It is known that d=δ and for 0?i?d the dimensions of coincide. The pair A,A∗ is called sharp whenever . It is known that if F is algebraically closed then A,A∗ is sharp. In this paper we classify up to isomorphism the sharp tridiagonal pairs. As a corollary, we classify up to isomorphism the tridiagonal pairs over an algebraically closed field. We obtain these classifications by proving the μ-conjecture. 相似文献
943.
Asset price dynamics is studied by using a system of ordinary differential equations which is derived by utilizing a new excess demand function introduced by Caginalp [4] for a market involving more information on demand and supply for a stock rather than their values at a particular price. Derivation is based on the finiteness of assets (rather than assuming unbounded arbitrage) in addition to investment strategies that are based on not only price momentum (trend) but also valuation considerations. For this new model and the older models which were extracted using the classical excess demand function by Caginalp and Balenovich [2] and [3], time evolutions of asset price are compared through numerical simulations. 相似文献
944.
Ehliman AdigüzelovYonca Sezer 《Applied mathematics and computation》2011,218(5):2113-2121
Let L0 and L be operators which are formed by the differential expressions.
?0(y)=(-1)my(2m)(x)+Ay(x) 相似文献
945.
946.
947.
We consider fourth order quasilinear ordinary differential equations. Firstly, we classify positive solutions into four types
according to their asymptotic properties. Then we derive existence theorems of positive solutions belonging to each type.
Using these results, we can obtain an oscillation criterion, which is our main objective. Moreover, applying such criteria
for ordinary differential equations to binary elliptic systems, we establish nonexistence theorems for positive solutions. 相似文献
948.
In this paper, we consider high-order recurrent neural networks with a class of general activation functions. By using some mathematical analysis techniques, we establish new results to ensure that all solutions of the networks converge exponentially to zero point. 相似文献
949.
950.