Báo cáo hóa học: " Infinitely many solutions to superlinear second order m-point boundary value problems" potx

... RESEARCH Open Access Infinitely many solutions to superlinear second order m-point boundary value problems Ruyun Ma 1* , Chenghua Gao 1 and Xiaoqiang Chen 2 * ... et al. Boundary Value Problems 2011, 2011:14 http://www.boundaryvalueproblems.com/content/2011/1/14 Page 9 of 11 16. Ma, R, O’Regan, D: Nodal solutions for second- order m-point boundary value ......

Ngày tải lên: 21/06/2014, 01:20

... infinite interval boundary value problem, Annali di Matematica Pura ed Applicata. Serie Quarta 176 (1999), 379–394. [12] R. Ma, Existence of positive solutions for second- order boundary value problems ... Accepted 4 September 2006 We deal with the existence of positive solutions to impulsive second- order differential equations subject to some boundary conditions on the...

Ngày tải lên: 22/06/2014, 22:20

... p-Laplacian operator,” Boundary Value Problems, vol. 2007, Article ID 38230, 12 pages, 2007. 10 Z. Zhao, Solutions and Green’s functions for some linear second- order three-point boundary value problems,” ... existence and multiplicity of the boundary value problems to a class of second- order functional difference equations Lu n  f  n, u n1 ,u n ,u n−1  1.1 with...

Ngày tải lên: 21/06/2014, 11:20

... (PS) condition. Next, we just use the mountain pass theorem to prove Theorem 1.3. EXISTENCE OF SOLUTIONS FOR A NONLINEAR ELLIPTIC DIRICHLET BOUNDARY VALUE PROBLEM WITH AN INVERSE SQUARE POTENTIAL SHENGHUA ... <λ<λ 1 ,whereλ 1 denotes the first eigenvalue of the operator − − μ/|x| 2 . This paper is organized as follows. In Section 2,wegivesomepreliminaries.Section 3 is devoted t...

Ngày tải lên: 22/06/2014, 22:20

... − 1 2  . 6 Second Order Boundary Value Problems This section is devoted to the study of the second order boundary value problem (BVP) Heikkilä Boundary Value Problems 2011, 2011:24 http://www.boundaryvalueproblems.com/content/2011/1/24 Page ... smallest and greatest solutions of the second order initial and boundary value problems, and dependence of these sol...

Ngày tải lên: 20/06/2014, 22:20

... been proposed and used to find solu- tions to most nonlinear equations. These methods include the Adomian Motsa et al. Boundary Value Problems 2011, 2011:3 http://www.boundaryvalueproblems.com/content/2011/1/3 © ... r i−1 , (2:15) subject to the boundary conditions: f i,0 (0) = f  i , 0 (0) = f  i , 0 (∞)=0 . (2:16) Motsa et al. Boundary Value Problems 2011, 2011:3 http://ww...

Ngày tải lên: 21/06/2014, 02:20

... operator R being given by Rvx : vqx for any function v ∈L 2 R q ,x ∈ R q  to 2.13 now leads to the fact that we can construct all eigenfunctions of the operator Y belonging to q k ,k ... ψ 1  x  ψ 2  y  ψ 3  z  e −iλ 1 t−iλ 2 t−iλ 3 t 1.5 is a solution to Schr ¨ odinger’s equation 1.1, revealing a completely separated structure of the variables. A fascinating to...

Ngày tải lên: 21/06/2014, 20:20

... 536 boundary points belonging to the intervals connecting the centers of the boundary layer cells with the origin. To con- struct the boundary layer of the cylinder Ω + ×[0, T], we put M = 10. To ... can one define boundary conditions for an arbitrary domain Ω in order to obtain an explicitly solvable initial boundary value problem? An answer is obtained not just for the...

Ngày tải lên: 22/06/2014, 22:20

... Zhang et al.: Infinitely many periodic solutions for some second- order differential systems with p(t)-Laplacian. Boundary Value Problems 2011 2011:33. Submit your manuscript to a journal and benefi ... China Abstract In this article, we investigate the existence of infinitely many periodic solutions for some nonautonomous second- order differential systems with p (t )...

Ngày tải lên: 20/06/2014, 22:20