báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot

... still open. The purpose of this and the next paper Error bounds for asymptotic solutions of second-order linear difference equations II: the second case is to estimate error bounds for solutions ... given in their papers. The estimations of error bounds for these asymptotic solutions to 1.1 were given in 5 by Zhang et al. But the problem...

Ngày tải lên: 21/06/2014, 11:20

... 0,T. The results of the following two lemmas we use in the proofs of the existence of positive and dead-core solutions to problem 1.1, 1.2. Lemma 2.8. Let (H 1 )–(H 3 ) hold. Then there ...  A is the unique solution of problem 1.12, 1.2 for λ  0. The following lemma gives a priori bounds for solutions of problem 1.12, 1.2. Lemma 2.3. Let (H 1 )–...

Ngày tải lên: 21/06/2014, 18:20

... x 4 (n), (3.10) and the proof of the proposition is complete.  2AdvancesinDifference Equations In [6–8], the authors studied the behavior of the p ositive solutions of the system of two Lyness difference equations x n+1 = by n + ... nd the references cited therein). In [11], Koci ´ c and Ladas investigated the existence of invariants, the boundedness, the pe...

Ngày tải lên: 22/06/2014, 19:20

... Rockafellar, “On the maximal monotonicity of subdifferential mappings,” Pacific Journal of Mathematics, vol. 33, pp. 209–216, 1970. [14] R. T. Rockafellar, “On the maximality of sums of nonlinear monotone ... operator of C into H .For xedu ∈ H,letthesequence{x n } be generated by y n ≈ VI  C,F r n ,x n  , x n+1 = α n u + β n x n + δ n y n . (4.7) Here the criterion for the...

Ngày tải lên: 22/06/2014, 22:20

... some instances the right-hand side of 2.1 is smaller than that of 2.11 and vice versa. Now, utilizing the inequality 2.11 and making use of the same argument from the proof of Theorem 2.1, ... Ront ´ a The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an n-tuple of bounded linear operators...

Ngày tải lên: 22/06/2014, 03:20

... presents, the performance of the proposed scheme is also solid and outperforms other schemes. Notably, the performance of the proposed scheme with N c = 1 still outperforms the two other schemes ... with CIR. (c) The received waveform for one symbol. (d) The discrete form of ECIR. (e) Rec eived waveforms are interfered by each other. received signal is constructed. There...

Ngày tải lên: 21/06/2014, 05:20

... introduced another modification iterative method of 1.8 for finding a common element of the fixed points set of a nonexpansive mapping and the solutions set of a generalized equilibrium problem in the framework ... x ∗ as n →∞. By using the same argument as in the proof of Theorem 3.1 of 25, we can show that x t → x ∗ ∈ F as t → 0. This completes the proof. 4. Str...

Ngày tải lên: 21/06/2014, 07:20

... convergence theorem for sequence of martingale differences. Then, Qiu 14 extended the result of Wang and Yang in 2008. The purpose of this paper is to discuss f urther the strong limit theorems for ... convergence theorem, and Petrov’s strong law of large numbers for sequences of independent random variables are the particular cases of this paper. In addition, the...

Ngày tải lên: 21/06/2014, 07:20

... v   { 0 } , 4.10 then x is a local efficient solution of problem 2.1. Proof. The proof is similar to Theorem 4 .7. Remark 4.9. If fS is convex, then the condition ii of Theorem 4.7 is equivalent to the following ... properly efficient solutions of vector optimization pro blems with the help of several kinds of cones. Engau and Wiecek 3 derived the cone character...

Ngày tải lên: 21/06/2014, 07:20

... optimal solution of the original problem 1.1 such that there is less violation of constraints. It is more robust in the sense of less degree of constraint violation taking account of the satisfaction ... optimal solution by the hybrid method has no violation of the constraints for all the 48 samples with 0.95 probability level, while there are 19 times of violati...

Ngày tải lên: 21/06/2014, 07:20