Báo cáo hóa học: " Research Article Existence and Localization Results for p x -Laplacian via Topological Methods" doc

...   Ω        | u | r x    | u | r x    p x        p x dx   Ω      | u |  u  r x p x      r x p x  u  r x p x r  x  p  x     | u | r x    p x p  x  dx ≤  Ω      | u |  u  r x p x      r x p x max   u  r 1 p x r  x  p  x  ,  u  r 2 p x r  x  p  x      | u | r x    p x p ...

Ngày tải lên: 21/06/2014, 17:20

... different from previous ones in literature and the results obtained in this paper are new. 3. Examples To illustrate how our main results can be used in practice we present two examples. Example 3.1. ... ordered Banach spaces and applications,” Computers & Mathematics with Applications, vol. 56, no. 12, pp. 3150–3156, 2008. Boundary Value Problems 5 Hence Ah ∈ P h . For any u ∈...

Ngày tải lên: 21/06/2014, 11:20

... Claim 2 we get d  x, x n  ≤ d  x, x ∗ n  + d  x ∗ n , x n  <  δ n + d  x ∗ n , x n  ≤ d  x n ,x ∗ n  + d  x ∗ n , x n  = d  x n , x n  ≤ ε. (2.21) So, x ∈ B( x n ,ε). Let λ ... strong maximum principle for some quasilinear elliptic equations,” Applied Mathematics and Optimization, vol. 12, no. 3, pp. 191–202, 1984. L. Iturriaga and S. Lorca 3 2....

Ngày tải lên: 22/06/2014, 19:20

... 2008, Article ID 586020, 16 pages doi:10.1155/2008/586020 Research Article Existence and Multiple Solutions for Nonlinear Second-Order Discrete Problems with Minimum and Maximum Ruyun Ma and Chenghua ... 292, no. 1, pp. 49–59, 2004. 7 A. Cabada, “Extremal solutions for the difference -Laplacian problem with nonlinear functional boundary conditions,” Computers & Mathe...

Ngày tải lên: 22/06/2014, 11:20

... 2.11 and N : X → Y, by Nx  t    ϕ q  x 2  t  −f  x 1  t  ϕ q  x 2  t  − g  x 1  t   e  t   . 2.12 Define the operator P : X → X and Q : Y → Y by Px  P  x 1 x 2    x 1 x 2  ,Qy ... 2005. 5 F. X. Zhang and Y. Li, Existence and uniqueness of periodic solutions for a kind of Duffing type p- Laplacian equation,” Nonlinear Ana...

Ngày tải lên: 21/06/2014, 20:20

... and x n x 1 n, x 2 n, ,x k n T ∈ R k . If for some n 0 ≥ 0, x n 0  x 0 1.2 is specified, then 1.1 is called an initial value problem IVP. The solution of this IVP is given by x  n, ... 2.8 hold. Below, we give an example for Corollary 2.2 in the special case k  2. To obtain the matrix Hn, we choose a suitable form of the matrix Sn. Example 2.3. Consider t...

Ngày tải lên: 22/06/2014, 11:20

... kind of problems, for example, 1–15. In this paper, we consider the p x -Laplacian equations with exponential nonlinearities −Δ p x u  e f x, u  0inΩ, u x −→  ∞ as d x, ∂Ω −→ 0, P where ... P . Throughout the paper, we assume that p x and f x, u satisfy that H 1  p x ∈ C 1 Ω is radial and satisfies 1 < ;p − ≤ p  < ∞, where p −  inf Ω p x ,p   sup Ω...

Ngày tải lên: 22/06/2014, 06:20

... of p- Laplacian equations (see [7– 10]). On the typical p- Laplacian problem − p u = λ t p |u| p 2 u, t>0, (1.3) when λ>( (p − 1) /p) p , then all the solutions oscillation, but when λ ≤ ( (p ... [2]), but the fact that λ p > 0 is very important in the study of p- Laplacian problems. It is well known that, there exists Picone-type identity for p- Laplacian equations...

Ngày tải lên: 22/06/2014, 18:20

... constant, P is the well-known p- Laplacian problem see 16–18. Because of the nonhomogeneity of p x -Laplacian, p x -Laplacian problems are more complicated than those of p- Laplacian ones ... L p x Ω  , 2.3 and it can be equipped with the norm u  |u| p x    ∇u   p x , ∀u ∈ W 1 ,p x Ω. 2.4 W 1 ,p x 0 Ω is the closure of C ∞ 0 Ω in W 1 ,p x Ω. W 1...

Ngày tải lên: 22/06/2014, 18:20

... there are few papers published on the existence of anti-periodic solutions to neural networks with impulse. The main purpose of this paper is to study the existence and global exponential stability ... stability and existence of periodic solutions of discrete delayed cellular neural networks,” Physics Letters. A, vol. 333, no. 1-2, pp. 51–61, 2004. 5 Y. K. Li and Z. Xing, Existe...

Ngày tải lên: 21/06/2014, 07:20