Báo cáo hóa học: " Research Article Boundary Blow-Up Solutions to p x -Laplacian Equations with Exponential Nonlinearities Qihu Zhang" pptx

... 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 −Δ p x u  −div|∇u| p x −2 ∇u, ... 2008, Article ID 279306, 8 pages doi:10.1155/2008/279306 Research Article Boundary Blow-Up Solutions to p x -Laplacian Equations with Exponen...

Ngày tải lên: 22/06/2014, 18:20

... Applications Volume 2008, Article ID 279306, 8 pages doi:10.1155/2008/279306 Research Article Boundary Blow-Up Solutions to p x -Laplacian Equations with Exponential Nonlinearities Qihu Zhang Department of ... 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 −...

Ngày tải lên: 22/06/2014, 06:20

... difference equation Δ 2 y k  p k y k1  0 1.1 on N, where p is an arbitrary sequence. The principal aim of this paper is to study asymptotic behavior of positive solutions to 1.1 in the framework ...  1 ,andk x k /x k →  2 ,itresults kΔz k z k  c 1 kΔy k  c 2 k x k c 1 y k  c 2 x k  c 1  kΔy k /y k  y k /x k   c 2 k x k /x k c 1 y k /x k  c 2 ∼ k x k...

Ngày tải lên: 21/06/2014, 11:20

... compact set K in R n , p, P ∈ Hf, B, q, Q ∈ Hf, B, we define π p, q and π P, Q by π p, qsup    p n, x − qn, x   : n ∈ Z ,x K  , π P, Q ∞  N1 π N P, Q 2 N  1  π N P, ... For the asymptotic properties of discrete Volterra equations, see 5. In this paper, in order to obtain an existence theorem for an almost periodic solution of a discrete Volterra equations...

Ngày tải lên: 22/06/2014, 11:20

... holds:  b a   f  x  g  x    dx ≤   b a   f  x    p dx  1 /p   b a |g  x  | q dx  1/q . 2.12 3. Main Result In this section, our aim is to discuss the existence and uniqueness of solutions ... of Applied Mathematics and Computing, vol. 34, no. 1-2, pp. 385–391, 2010. 3 B. Ahmad and V. Otero-Espinar, “Existence of solutions for fractional differential...

Ngày tải lên: 21/06/2014, 05:20

... 2006.  10 J. J. Nieto and R. Rodr ´ ıguez-L ´ opez, Boundary value problems for a class of impulsive functional equations, ” Computers & Mathematics with Applications, vol. 55, no. 12, pp. 2715–2731, ... equations with impulses. This paper studies the existence of solutions of antiperiodic boundary value problem for fractional differential equations with impulses. The org...

Ngày tải lên: 21/06/2014, 05:20

... w p u p 1 ,B 11 u p 1 , ,B 1s 1 u p 1 , ,u p m ,B m1 u p m , ,B ms m u p m  ,p 1, 2, Advances in Difference Equations 9 2. Abstract Model of Initial Boundary Value Problem with Non Stationary Boundary ... “Hyperbolic differential-operator equations on a whole axis,” Abstract and Applied Analysis, no. 2, pp. 99–113, 2004. 2 P. Lancaster, A. Shkalikov, and Q. Ye, “S...

Ngày tải lên: 21/06/2014, 11:20

...   Nx  1 . 3.29 Again for x ∈ Ω 1 , x ∈ dom L \ Ker L,thenI − P x ∈ dom L ∩ Ker P, LP x  0thusfrom Lemma 3.1,weknow  I − P  x    K P L  I − P  x  ≤  LI − P x  1   Lx  1 ≤  Nx  1 . ... Krasnosel’skii’s fixed point theorem to show that the operator equation x  Ax has at least one fixed point, where operator A is de fined by  Ax  t   t 1 − g  1...

Ngày tải lên: 21/06/2014, 11:20

... rotation number approach to eigenvalues of the one-dimensional p- Laplacian with periodic potentials,” Journal of the London Mathematical Society, vol. 64, no. 1, pp. 125–143, 2001. 9 R. P. Agarwal, ... Analysis and Applications, vol. 239, no. 2, pp. 195–212, 1999. 3 R . P. A g a r w a l a n d P. J . Y. Wo n g , Advanced Topics in Difference Equations, vol. 404 of Mathematics and...

Ngày tải lên: 21/06/2014, 20:20

... almost periodic Lotka-Volterra difference equations which are a prey-predator system x 1 n1 x 1 n exp{b 1 n−a 1 n x 1 n−c 2 n  n s−∞ K 2 n−s x 2 s} ,x 2 n1 x 2 n exp{−b 2 n− a 2 n x 2 nc 1 n  n s−∞ K 1 n ... s     ≤−a 1  n    exp { v 1  n  } − exp  y 1  n      c 1  s  n    exp { v 1  n  } − exp  y 1  n     ≤−a 2  n   ...

Ngày tải lên: 21/06/2014, 20:20