MAXIMAL REGULAR BOUNDARY VALUE PROBLEMS IN BANACH-VALUED WEIGHTED SPACE RAVI P AGARWAL, MARTIN ppt

... a bounded inverse operator from the space L p (0,b;E) to the space W m p (0,b;E(A m ),E), and MAXIMAL REGULAR BOUNDARY VALUE PROBLEMS IN BANACH-VALUED WEIGHTED SPACE RAVI P. AGARWAL, MARTIN BOHNER, AND ... dif- ferential operators generated by the corresponding boundary value problems in Banach- valued weighted L p spaces. These results are applied...

Ngày tải lên: 23/06/2014, 00:20

... Boundary Value Problems go to http://www.boundaryvalueproblems.com/authors/instructions/ For information about other SpringerOpen publications go to http://www.springeropen.com Boundary Value Problems © ... solve some special boundary value problems. According to our method, which is presented in this paper, some repro- ducing kernel Hilbert spaces have been presented in...

Ngày tải lên: 20/06/2014, 20:20

... C. Enache and G. A. Philippin, Some maximum principles for a class of elliptic boundary value problems, to appear in Mathematical Inequalities & Applications. [3] E. Hopf, Elementare bemerkung ¨ uber ... principles, some maximum principles for the appropriate combina- tions of u(x)and |∇u| 2 , and we list a few examples of problems to which these maximum principles may be applied...

Ngày tải lên: 22/06/2014, 22:20

... onlinear Ordinary Differential Equations , Shandong Science and Technology Press, Jinan, China, 1995. Boundary Value Problems 3 In this paper, we consider the following second-order four-point ... “Existence of positive solutions for boundary value problems of nonlinear functional difference equation with p- Laplacian operator,” Boundary Value Problems, vol. 2007, Article ID...

Ngày tải lên: 21/06/2014, 11:20

... for p- Laplacian problems are invalid for p x-Laplacian problems. For example, 1 if Ω ⊂ R n is an open bounded domain, then the Rayleigh quotient λ p x  inf u∈W 1 ,p x 0 Ω\{0}  Ω  1 /p x  |∇u| p x dx  Ω  1 /p x  |u| p x dx 1.7 is ... nonlinear singular boundary value problems, ” Nonlinear Analysis: Theory, Methods & Applications, vol. 29, no. 12, pp. 1365–...

Ngày tải lên: 22/06/2014, 03:20

... “Existence of multiple positive solutions for multipoint boundary value problems with a one-dimensional p- Laplacian,” Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 2, pp. 476–485, ... and W. Ge, “Positive solutions for multipoint boundary value problems with a one- dimensional p- Laplacian,” Nonlinear Analysis: Theory, Methods & Applications, vol. 66,...

Ngày tải lên: 22/06/2014, 03:20

... (7.13) 50 Boundary value problems for analytic functions Now we apply the Riesz-type interpolation theorem known for the spaces L p( ·) (see [25, Theorem 14.16]) in the following form: if a linear operator ... and BVPs the weighted boundedness of singular operators is required. The weighted estimates in L p( ·) -spaces with power weight were proved for the maximal operator o...

Ngày tải lên: 23/06/2014, 00:20

... at endpoints, others at interior (usually singular) points. The crucial distinction between initial value problems (Chapter 16) and two point boundary value problems (this chapter) is that in the ... wreak havoc on the initial value integrations required by shooting. The typical case is that of trying to maintain a dying exponential in the presence of growing exponentials. Goo...

Ngày tải lên: 24/12/2013, 12:16

... n 2 +1 integrations. This illustrates the enormous extra effort involved in solving two point boundary value problems compared with intial value problems. If the differential equations are linear, ... (Washington: Mathe- matical Association of America). Keller, H.B. 1968, Numerical Methods for Two-Point Boundary- Value Problems (Waltham, MA: Blaisdell). 758 Chapter 17. Two Po...

Ngày tải lên: 24/12/2013, 12:16