breakaway point on the real axis 4

... 2an)2 = b2 − 4anbn + 4a2 n−1 n n = b2 − 4an(an+1 + an − an−1) + 4a2 n n = b2 − 4anan+1 − 4a2 + 4anan−1 + 4a2 n n n = b2 − 4anan+1 + 4anan−1 n Subtracting 4anan−1 , we obtain + 4anan+1 = b2 , ... flow from one another The volume illustrates the richness of elementary mathematical analysis as one of the most classical fields in mathematics The topic is revisited from the higher viewpoint of ... }) the set of nonzero integer real numbers (Z∗ = Z \ {0}) the set of rational real numbers Q = m ; m ∈ Z, n ∈ N∗ , m and n are relatively prime n the set of real numbers the set of nonzero real...

Ngày tải lên: 25/05/2014, 21:51

... (see condition (8)) But, on the other hand, taking g > one can lose the summability of the function KC required in assumption (7) of [11] In fact, in the following example the present Theorems ... which were used only in the proof of Step Hence, as in the proof of the previous Theorem 2 .4, we now provide only the proof of Step 1, the rest being the same ν At the beginning of the proof, without ... ≥ Const +∞ t − μm hk dt = +∞ by the lower bound on the exponent μ So, the assertion follows from Theorem 2.6 □ The following results are immediate consequences of Theorems 3.1, 3.2, and 3 .4 Corollary...

Ngày tải lên: 20/06/2014, 22:20

... and only if the fixed point class represented by fπ β is reducible Suppose that X is a connected compact polyhedron and f is a self-map of X 4 Fixed Point Theory and Applications Definition 2.7 The ... by f Then, for any k, 4. 1 → π1 RP2 be the If fπ is trivial, then the periodic point class p Fix f k is essential If fπ is the identity, then the periodic point class p Fix f k is essential; the ... use the following proposition to examine the reducibility of the periodic point classes of f Proposition 4. 1 The two periodic point classes p Fix f n and p Fix τ f n of f with period n are the...

Ngày tải lên: 21/06/2014, 11:20

... a1≠a2≠a3≠a4≠a5≠0 In equation (4) , the null hypothesis of no cointegration amongst the variables in model (4) is H0: b1=b2=b3=b4=b5=0 against the alternative hypothesis of H1: b1≠b2≠b3≠b4≠b5≠0 Before the ... produced upon request9 Seasonal dummy variables were included in the initial round of the estimation procedure In the process of estimating the consumption function, the F-test on the joint significance ... whether property prices and the real economy are fractionally or seasonally cointegrated Meanwhile, the findings on short-run relationships between property and the economy could be further confirmed...

Ngày tải lên: 13/07/2014, 21:13

... hexagon (see Section 3) We use the fact that there is a bijection between rhombus tilings of the hexagon and perfect matchings of the hexagon’s ‘dual’ graph G (see Figure for the construction of the ... evaluations, the latter constituting the most difficult part of the proof An outline of the proof is given in the next section The details are filled in in the subsequent sections Outline of the proofs ... triangles on the left is the hexagon on the right Step 1: It suffices to compute the number of rhombus tilings of two regions R+ and R− which are roughly the upper and the lower half of the original...

Ngày tải lên: 07/08/2014, 06:20

... In this case, the system has only trivial solution bounded on R If condition 11 is satisfied, then the nonhomogeneous impulsive system possesses a unique solution bounded on R in the form x t G ... action for t Δx|t τ1 γ1 , 23 τ1 ∈ R as follows: γ1 ∈ Rn , 24 and we consider the existence of solution of the impulsive problem 22 - 24 from the space BC1 R \ {τ1 }I bounded on the entire real axis ... Equations Thus, the necessary and sufficient condition for the existence of the solution of problem has the form ∞ ∞ −∞ Hd t f t dt Hd τi γi 11 i −∞ and consists of d linearly independent conditions...

Ngày tải lên: 21/06/2014, 16:20

... along a conic If there are THE K OF DEGENERATIONS OF SURFACES 361 other components, then there is a component X meeting all the rest along a line Thus, the hyperplane section contains a rational ... quantities: • the contribution of (KX + Γ)2 ; • the contribution to K of E, as if E had only global normal crossings; • the contributions of the points xi which are known by induction Let us compute these ... − On the other hand, if we assume that p is an Sn -point, then p is an ordinary (n − 1)-tuple point for only one of the curves concurring at p, say Ci ⊂ Xi , and a simple point for all the other...

Ngày tải lên: 16/02/2014, 06:20

... embed Ω into the space of point configurations on the real line without two points This turns the spectral measure into a stochastic point process on the real line The main result of the paper is ... in a convex set X consisting of certain positive definite functions on the group In our concrete situation, the elements of the set X are positive definite functions on U(∞), constant on conjugacy ... through the correlation kernel of the original process Thus, one way to obtain the correlation functions for the two-component log-gas is to apply the complementation principle to the (one-component)...

Ngày tải lên: 06/03/2014, 08:21

Ngày tải lên: 04/04/2014, 00:20

... for the nuclear weapons responsibilities of the Department of Energy The Pentagon,” then, is the main claim on your household’s contributions to the national defense Pentagon expenses are themselves ... nonmilitary components, and failed to mobi4 lize the country behind it These truths should be self-evident: The nation is at war The war is expensive Someone has to pay for it The sooner we honestly ... against the U.S homeland The trouble is, there’s zero—meaning the danger is gone, we have removed the threat—and then there’s zero meaning it hasn’t happened yet We cannot be content with the second...

Ngày tải lên: 03/06/2014, 01:18

... New York (1 940 ) Hyers, DH: On the stability of the linear functional equation Proc Nat Acad Sci USA 27, 222–2 24 (1 941 ) doi:10.1073/ pnas.27 .4. 222 Rassias, ThM: On the stability of the linear mapping ... of a fixed point theorem to a functional inequality Fixed Point Theory 10, 141 – 149 (2009) 14 Najati, A, Park, C: Fixed points and stability of a generalized quadratic functional equation J Inequal ... doi:10.1007/ BF029 248 90 Cholewa, PW: Remarks on the stability of functional equations Aequationes Math 27, 76–86 (19 84) doi:10.1007/ BF02192660 Czerwik, S: On the stability of the quadratic mapping...

Ngày tải lên: 20/06/2014, 22:20

... 1) Therefore, there exists a constant Mk such that (15) holds for s = k under the condi1 tion n > k(α − 1) − If n > σ (α − 1) − , then the first integral on the right-hand side of ( 14) converges ... ≡ because of the continuity of the function qn1j on (0, R) In such a case, the ˜ n satisfy the equation ln (qn2j ) = For the same ˜ elements of the second row of matrix Q ˜ reason as above, we ... |m|≤n The terms r R n (k) m anm Hn (ω) |m|≤n of the series on the right-hand side of (29) are harmonic functions in ∑R Since these series converge uniformly on the sphere SR, they also converge...

Ngày tải lên: 21/06/2014, 00:20

... Krasnoselskii’s fixed point theorem and stability Nonlinear Anal 49 , 44 5 45 4 (2002) doi:10.1016/S0362- 546 X(01)00111-0 Fucik, S: Fixed point theorems for sum of nonlinear mappings Commentationes Mathematicae ... point theorems fora sum of nonlinear operators Rend Accad Naz Lincei 54, 1 4 (1973) 19 Taoudi, MA: Integrable solutions of a nonlinear functional integral equation on an unbounded interval Nonlinear ... applications Nonlinear Anal 60, 625–650 (2005) doi:10.1016/j.na.20 04. 09. 040 Ben Amar, A, Jeribi, A, Mnif, M: On a generalization of the Schauder and Krasnosel’skii fixed point theorems on Dunford-Pettis...

Ngày tải lên: 21/06/2014, 01:20

... 2 Fixed Point Theory and Applications The special issue contains 38 papers accepted Most of the papers touched on all applications of Kirk’s fixed point theorem Mohamed A Khamsi...

Ngày tải lên: 21/06/2014, 05:20

... solution to the functional equation is near to a true solution of that functional equation, and is super superstable if every approximately solution is an exact solution of it see 14 Recently, the ... John Wiley & Sons, New York, NY, USA, Science edition, 1 940 D H Hyers, On the stability of the linear functional equation,” Proceedings of the National Academy of Sciences of the United States ... pages, 2008 14 J A Baker, The stability of the cosine equation,” Proceedings of the American Mathematical Society, vol 80, no 3, pp 41 1 41 6, 1980 15 M Eshaghi Gordji and A Bodaghi, On the stability...

Ngày tải lên: 21/06/2014, 05:20

... infinite dimensional, then CR X fails to have the fixed -point property In the case F C, they obtained the following result Theorem 1 .4 see 4, Theorem 4. 3 Let A be an infinite dimensional unital commutative ... involution on X We denote by C X, τ the set of all f ∈ C X for which f ◦ τ f Then C X, τ is a unital uniformly closed real subalgebra of C X which separates the points of X, does not contain the constant ... fails to have the fixed -point property Dhompongsa et al studied the fixed -point property of complex C∗ -algebras in and obtained the following result Theorem 1.6 see 8, Theorem 1 .4 The following...

Ngày tải lên: 21/06/2014, 07:20

... scheme where the network members themselves are responsible for sharing the communication channel and due to the decentralized network topology, the synchronization among the nodes is done through ... within one frame duration are selected, the station will enter the continuous operation phase, using the NTSs decided during the first frame phase for transmission During the first frame phase, the ... before it ends up in the continuous operation The phases are described in Section 4. 2, and in Figure 2(b) the continuous operation phase is depicted The vehicle stays in the continuous phase after...

Ngày tải lên: 21/06/2014, 22:20

... computation of the fixed point index that is valid for any nondegenerate pair Therefore, Lemma 4. 1, the excision, and the homotopy invariance properties imply the existence of at most one real function ... ) and connected, they are actually path connected Consequently, given A ∈ N(Rm ), the homotopy invariance implies that ind(A, Rm ) depends only on the component of N(Rm ) containing A Therefore, ... the following property Solution If ind( f ,U) = 0, then the fixed point equation f (x) = x has a solution in U The fixed point index for linear maps In this section, we will prove that, as a consequence...

Ngày tải lên: 23/06/2014, 00:20

Ngày tải lên: 05/08/2014, 10:20

... degradation of the edatope; nevertheless, the sequence of revitalization measures supported by the point application of fertilizers to forest plantations contributes to stabilization of the cycling ... 0. 044 7 + 0.0387x (r = 0.89)) 1.0 0.9 Nt (%) 0.8 0.7 0.6 0.5 0 .4 0.3 10 12 14 COX (%) 16 the windrow spreading, without further fertilization measures, from the trophic aspect they belong to the ... mg∙kg–1) The values of K are at a very good ratio to the content of magnesium bound in the sorption complex (Table 10) On control untreated and only prepared plots they are optimum at the total content...

Ngày tải lên: 07/08/2014, 03:22