investor preferences for higher order moments

... the stability of higher- order adjacent derivative for weak perturbation maps in vector optimization problems Motivated by the work reported in 3–9 , in this paper, by higher- order adjacent derivative ... relationships between higher- order adjacent derivative of a setvalued map and its profile map Then, by virtue of the relationships, we investigate the stability of higher- order adjacent derivative ... In Section 3, after recalling the concept of higher- order adjacent derivative of setvalued maps, we provide some relationships between the higher- order adjacent derivative of a set-valued map...

Ngày tải lên: 21/06/2014, 07:20

... Suppose that one of the two conditions i Ax ≤ x , for all x ∈ P ∩ ∂Ω1 and Ax ≥ x , for all x ∈ P ∩ ∂Ω2 ii Ax ≥ x , for all x ∈ P ∩ ∂Ω1 , and Ax ≤ x , for all x ∈ P ∩ ∂Ω2 or is satisfied Then A has ... x 4.8 Case The Condition C2 satisfies For x ∈ K, from 3.1 we obtain that mint∈Jθ x t ≥ γ ∗ x Therefore, for x ∈ ∂Kr2 , we have x t ≥ γ ∗ x have γ ∗ r2 for t ∈ Jθ , this together with C2 , we ... improve many known results for fractional order cases, for example, see 12–15, 19 The methodology which we employed in studying the boundary value problems of integer -order differential equation...

Ngày tải lên: 21/06/2014, 16:20

... singular at y and possibly at x 0, y ∞ Anderson et al gave a detailed presentation for the following higher- order selfadjoint boundary value problem on time scales: n −1 Ly t pi y Δ n−i n−i−1 ... Leray-Schauder fixed point theorem In this paper, we consider the existence of positive solutions for the following higherorder four-point singular boundary value problem BVP on time scales uΔ t n g t f u t ... numbers R For t < sup T and r > inf T, define the forward jump operator σ and backward jump operator ρ, respectively, by σ t inf{τ ∈ T : τ > t} ∈ T, ρ r sup{τ ∈ T : τ < r} ∈ T, 2.1 for all t,...

Ngày tải lên: 21/06/2014, 20:20

... solutions for non-positive higher- order BVPs,” Journal of Computational and Applied Mathematics, vol 88, no 1, pp 3–14, 1998 R P Agarwal, S R Grace, and D O’Regan, “Semipositone higher- order differential ... uniqueness theorems for three-point boundary value problems,” SIAM Journal on Mathematical Analysis, vol 20, no 3, pp 716–726, 1989 R P Agarwal, Boundary Value Problems for Higher Order Differential ... lower solutions for higher order boundary value ´ problems,” Nonlinear Studies, vol 12, no 2, pp 165–176, 2005 11 M R Grossinho, F M Minhos, and A I Santos, “Solvability of some third -order boundary...

Ngày tải lên: 21/06/2014, 20:20

... investigated higher- order derivatives of multivalent functions, see, for example, 1–10 Recently, by the use of the well-known Jack’s lemma 11, 12 , Irmak and Cho obtained interesting results for certain ... condition for univalence of analytic functions, while the second subordination implication gives conditions for convexity of functions If q and p 1, the second subordination gives conditions for starlikeness ... obtained in this paper give important information on the geometric properties of functions satisfying differential subordination conditions involving higher- order derivatives Rosihan M Ali et al...

Ngày tải lên: 22/06/2014, 03:20

... second order linear differential equations,” Proceedings of the Edinburgh Mathematical Society, vol 33, no 1, pp 143–158, 1990 [3] S B Bank and J K Langley, “Oscillation theorems for higher order ... Weierstrass product formed by the zeros of G(ξ) in < |ξ | < ∞, h(ξ) is an entire function, hence (2.8) holds Firstly, we prove that u(ξ) is of finite order of growth By the transformation ξ = ez/q ... satisfy ki > ji ≥ for i = 1, , q Also let ε > be a given constant Then there exists a set E1 ⊂ (1, ∞) with finite logarithmic measure such that for all z satisfying |z| ∈ [0,1] ∪ E and for / all (k,...

Ngày tải lên: 22/06/2014, 18:20

... trivial solution x(n) = identically for n ∈ Z+ Indeed, if x : Z+ → C is a nontrivial solution of (2.1) such that x(n) = for all large n and m is the greatest integer for which x(m) = 0, then (2.1) ... the form (2.9), where p is a polynomial of order less than mλ (2.17) R P Agarwal and M Pituk We now give the proof of Theorem 2.3 Proof of Theorem 2.3 Suppose that x is a solution of (2.1) for ... the z-transform of x given by ∞ x(n)z−n ˜ x(z) = (2.20) n =0 ˜ defines a holomorphic function in the region |z| > μ with μ as in (2.5) Similarly, c, the z-transform of c, is holomorphic for |z| >...

Ngày tải lên: 22/06/2014, 19:20

... behavior of monotone difference equations of higher order, Comput Math Appl 42 (2001), no 3–5, 647–654 U Krause and M Pituk, Boundedness and stability for higher order difference equations, J Difference ... solutions of the above higher- order difference equations and inequalities are given in Section Monotonicity Recall the definition of the discrete exponential ordering from [7] For every µ ≥ 0, the ... Then, for all n ≥ 0, In particular, y n ≤ xn , n ≥ −k (3.4) Proof We will prove (3.3) by induction on n By assumption (3.2), (3.3) holds for n = Suppose for induction that (3.3) holds for some...

Ngày tải lên: 23/06/2014, 00:20

... problems for functional differential equations of higher order, Georgian Mathematical Journal (2001), no 4, 791–814 [11] I T Kiguradze and B L Shekhter, Singular boundary value problems for second -order ... −1) (t) = u(i−1) (t) L2 ≤ r0 , (i = 1, ,n) uniformly in ]a,b[ (2.52) (2.53) (That is, uniformly on [a + δ,b − δ] for an arbitrarily small δ > 0) Proof For an arbitrary (m − 1)-times continuously ... t) m−i+1/2 for a < t < b, for a < t < b (i = 1, ,m), (2.67) n− u ∈ Cloc (]a,b[), and (i lim uk −1) (t) = u(i−1) (t) →+∞ (i = 1, ,n − 1) uniformly in ]a,b[ (2.68) On the other hand, for any t0...

Ngày tải lên: 23/06/2014, 00:20

... and convergence for a higher order flow in conformal geometry By Simon Brendle Introduction An important problem in conformal geometry is the construction of conformal metrics for which a certain ... Using the Sobolev inequality, we obtain |w| ≤ C ≤ t ≤ T for all Boundedness of w in H 2k for ≤ t ≤ T We now establish bounds for the higher order derivatives: d dt M |(−∆0 )k w|2 dV0 ≤ − e−nw |(−∆0 ... − w 2k + C H C for all ≤ t ≤ T Thus, we conclude that ≤ − w H 2k ≤C for all ≤ t ≤ T Therefore, the evolution equation has a solution which is defined for all time Convergence For the sake of...

Ngày tải lên: 28/03/2014, 22:20

... about existence of periodic solutions for first -order functional difference equations [8–12] Only a few article have been published on the same problem for higher- order functional difference equations ... Periodic solutions for a class of higher- order difference equations Huantao Zhu1 and Weibing Wang∗2 Hunan College of Information, Changsha, Hunan 410200, P.R China Department ... obtained existence theorem for single and multiple positive periodic solutions of (1.3) Our aim of this article is to study the existence of periodic solutions for the higherorder difference equations...

Ngày tải lên: 18/06/2014, 22:20

... periodic solutions for 1.2 have been presented In general, most of the existing results are concentrated on lower -order neutral functional differential equations, while studies on higher- order neutral ... rather infrequent, especially on higher- order p-Laplacian neutral functional differential equations In this paper, we consider the following generalized higher- order neutral functional differential ... we consider 1.3 for the case |c| / So throughout this paper, we always assume that |c| / 1, and the paper is organized as follows We first transform 1.3 into a system of first -order differential...

Ngày tải lên: 21/06/2014, 16:20

... detector Higher- Order Cyclostationarity The higher- order cyclostationarity (HOCS) theory is a generalization of the second -order cyclostationarity theory, which only deals with second -order moments, ... called an impure nthorder sine-wave This is so because the CTMF may contain products of lower -order sine-waves whose various orders sum to n In order to extract the pure nth -order sine-wave from ... signals for α = have shown that the two detectors exhibit similar performances From now on, we will focus on the fourthorder feature detection for baseband signals and let aside the fourth-order...

Ngày tải lên: 21/06/2014, 17:20

... polynomials of higher order By using our identities of symmetry for the ζ-Euler polynomials of higher order, we can obtain many identities related to the Frobenius-Euler polynomials of higher order On ... symmetry for the multivariate p-adic fermionic integral on Zp From the properties of symmetry for the multivariate p-adic fermionic integral on Zp , we derive some identities of symmetry for the ... identities related to the Frobenius-Euler polynomials of higher order On the Symmetry for the ζ-Euler Polynomials of Higher Order Let w1 , w2 ∈ N with w1 ≡ mod and w2 ≡ mod Then we set R m Zm p w1 , w2...

Ngày tải lên: 21/06/2014, 20:20

... the following i Lu / λNu for every u, λ ∈ dom L \ Ker L ∩ ∂Ω × 0, ii Nu/Im L for u ∈ Ker L ∩ ∂Ω ∈ ii H u, λ ±λJu − λ QNu According to the above argument, we know H u, λ / for every u ∈ Ker L ∩ ... exists M > 0, such that for u ∈ dom L, if |u t | > M for all t ∈ 0, , then m−2 s2 βj j f s1 , u s1 , , u n−1 s1 e s1 ds1 ds2 / 0; ηj 2.71 A7 there exists M∗ > such that for any d ∈ R, if |d| ... solutions for a class of third -order nonlinear boundary value problems,” Journal of Mathematical Analysis and Applications, vol 294, no 1, pp 104–112, 2004 Z Du, X Lin, and W Ge, “On a third-order...

Ngày tải lên: 21/06/2014, 22:20

... positive solutions for higher order difference equations,” Applied Mathematics Letters, vol 10, no 5, pp 67–74, 1997 10 Z Du, C Xue, and W Ge, “Triple solutions for a higher- order difference equation,” ... problems for superlinear higherorder ODEs,” Computers and Mathematics with Applications, vol 40, no 2-3, pp 249–259, 2000 P W Eloe and J Henderson, “Singular nonlinear boundary value problems for higher ... 2t ≤ M, n! x t ≤M for t ∈ 0, , 3.19 then tn−1 n − 2t tn−1 n − 2t ≤ Tx t ≤ M ≤ M, M n! n! for t ∈ 0, 3.20 For any x, y ∈ Qe , we define Aλ x, y t λ G t, s q s g T x s h Ty s for t ∈ 0, ds, 3.21...

Ngày tải lên: 22/06/2014, 00:20

... identities of symmetry for the generalized Bernoulli polynomials attached to χ of higher order Symmetric Properties for the Generalized Bernoulli Polynomials of Higher Order Let χ be the Dirichlet’s ... pp 44–56, 2007 21 T Kim, “Symmetry properties of higher order Bernoulli polynomials,” communicated 22 Z Zhang and H Yang, “Some closed formulas for generalized Bernoulli-Euler numbers and polynomials,” ... Journal of Inequalities and Applications see 15, 25 , and χ y n x y dy Bn,χ x 2.4 X see 1–19, 25 For n ∈ N, we obtain that n−1 f x n dx f x dx X 2.5 f i, i df x /dx |x i Thus, we have where f...

Ngày tải lên: 22/06/2014, 02:20

... positive solutions for higher order difference equations,” Applied Mathematics Letters, vol 10, no 5, pp 67–74, 1997 10 Z Du, C Xue, and W Ge, “Triple solutions for a higher- order difference equation,” ... problems for superlinear higherorder ODEs,” Computers and Mathematics with Applications, vol 40, no 2-3, pp 249–259, 2000 P W Eloe and J Henderson, “Singular nonlinear boundary value problems for higher ... 2t ≤ M, n! x t ≤M for t ∈ 0, , 3.19 then tn−1 n − 2t tn−1 n − 2t ≤ Tx t ≤ M ≤ M, M n! n! for t ∈ 0, 3.20 For any x, y ∈ Qe , we define Aλ x, y t λ G t, s q s g T x s h Ty s for t ∈ 0, ds, 3.21...

Ngày tải lên: 22/06/2014, 06:20

... attractivity of a higher order rational difference equation,” c Journal of Mathematical Analysis and Applications, vol 326, no 2, pp 940–944, 2007 X Li, “Qualitative properties for a fourth -order rational ... solutions of a higher- order rational difference equation,” Matematicheskie c Zametki, vol 84, no 5, pp 772–780, 2008 22 T Sun and H Xi, “Global asymptotic stability of a higher order rational ... Mathematical Analysis and Applications, vol 311, no 1, pp 103–111, 2005 X Li, “Global behavior for a fourth -order rational difference equation,” Journal of Mathematical Analysis and Applications, vol...

Ngày tải lên: 22/06/2014, 11:20