Báo cáo hóa học: " Research Article The Existence of Periodic Solutions for Non-Autonomous Differential Delay Equations via Minimax Methods" potx

... Difference Equations Volume 2009, Article ID 137084, 15 pages doi:10.1155/2009/137084 Research Article The Existence of Periodic Solutions for Non-Autonomous Differential Delay Equations via Minimax ... the existence of periodic solutions of 1.2. Under the superlinear conditions 1.5, there is no twist condition for f, which brings di fficulty t...

Ngày tải lên: 21/06/2014, 20:20

... Difference Equations author studied the existence of solutions for the nonlinear boundary value problem by using Krasnoselskii’s fixed point theorem and Leggett and Williams fixed point theorem, respectively. In ... difficult to find positive solutions of the p- Laplacian equation when the nonlinearity changes sign. In particular, little work has been done on the existence...

Ngày tải lên: 21/06/2014, 20:20

... control theory, bioscience, physics, etc. This class of equations play an important role in modeling phenomena of the real world. So it is valuable to discuss the properties of the solutions of these ... Difference Equations Proof. The approach of the proof is very similar to those in 17, 19, 20. Here, we omit it. Theorem 3.2. Provided that conditions (H 1 )–(H 4 )...

Ngày tải lên: 21/06/2014, 11:20

... contradiction to the definition of t 0 ,sout ≤ βt, for any t ∈ T 1 ,T 2 . 3. Proofs of main results In this section, we will deal with the proofs of main results. Proof of Theorem 1.1. From ... bounded. By virtue of Schauder fixed point theorem, Φ  f u has at least one fixed point u in C 1 c,d . Then, u is a solution of SBVP with 1.1. This completes the proof. Proo...

Ngày tải lên: 22/06/2014, 03:20

... Difference Equations 13 6. Conclusions In this paper, by using the fixed point theorem of cone, we have investigated the existence of positive solutions for a class of nonlinear fractional differential equations ... results on the existence of positive solutions by using fixed point theorem in cones. The proofs are based upon the reduction of problem considered t...

Ngày tải lên: 21/06/2014, 05:20

... is the monotonicity of the half-eigenvalues on the weights a, b. The other is the infimum H F m,γ r can be attained by some weights for any γ ∈ 1, ∞.As consequence of these two facts, for ... 7–10. As an elementary application of such a stronger continuity, the proof of the first step, that is, the existence of minimizers or maximizers, of the extrem...

Ngày tải lên: 21/06/2014, 11:20

... Σ ν k denote the closure of set of those solutions of 1.1, 1.2 which belong to Φ ν k . The main results of this paper are the following. Theorem 1.5. Let (A1)–(A4) hold. a If f ∞  0, then there ... best of our knowledge, there is no paper to discuss the global structure of nodal solutions of 1.1, 1.2 with f 0  ∞. In this paper, we obtain a complete descri...

Ngày tải lên: 21/06/2014, 11:20

... solution of P, and the periodic of u n x,v n x is 4nT. This completes the proof. 2 Journal of Inequalities and Applications In 19 , the authors consider the existence of positive weak solutions ... nonhomogeneity of px-Laplacian, the first eigenfunction cannot be used to construct the subsolution of px-Laplacian problems. There are many papers on th...

Ngày tải lên: 21/06/2014, 20:20

... terms of Lehmer means,” Journal of Mathematical Inequalities, vol. 4, no. 4, pp. 581–586, 2010. 11 S. Wang and Y. Chu, The best bounds of the combination of arithmetic and harmonic means for the Seiffert’s ... b  1.5 holds for all a, b > 0witha /  b. For more results, see 9–23. The purpose of the present paper is to find the greatest values α 1 ,α 2 and th...

Ngày tải lên: 21/06/2014, 05:20

... be considered for two reasons: (1) the SNRs often found in the environment span the range of −10 to 5 dB and should therefore be included in the evaluation of algorithms for hearing aids [17]and(2)theSRTpoint,atwhichthereis highest ... section, the speech and noise classification performance of the envelope- based VAD for the three settings of β is presented. The...

Ngày tải lên: 21/06/2014, 08:20