Báo cáo hóa học: "EIGENVALUE COMPARISONS FOR BOUNDARY VALUE PROBLEMS OF THE DISCRETE BEAM EQUATION" ppt

... generalized to eigenvalue problems of boundary value problems of linear beam equations which include the discrete form of any of the above boundary conditions, (2.30)through(2.34). For example, comparison results ... some comparison results for the smallest eigenvalues of two eigenvalue problems for boundary value problems of 2nth-order linear diff...

Ngày tải lên: 22/06/2014, 22:20

... shown that the ordering of these factors within Γ i is of no consequence for either the integrability of the system or the existence of a well-defined evolution in the ultradiscrete limit.) The invertibility ... to describe the constraints on the system. In Section 4 the ultradiscrete version of this system is derived, and some of the rich phe- nomenology of...

Ngày tải lên: 22/06/2014, 19:20

... p-Laplacian boundary value problems have been widely studied owing to its importance in theory and application of mathematics and physics, see for example, [29–33] and the references therein. Especially, ... ≤ L q−1 (Γ(β + 1)) q−1 E. That is, the set AB is uniformly bounded. On the other hand, the uniform continuity of G(t, s) on I ×I implies that for arbitrary ε > 0,...

Ngày tải lên: 21/06/2014, 17:20

... a solution. For the uniqueness, if u·,v· are two solutions of E2.2,setwt ut − vt, then w  tAwt,andwt−wt  T,fort ∈ R. Following the obvious Boundary Value Problems 7 Note ... 5011–5016, 2008. 4 Boundary Value Problems strategy above see the clear adjustment of 2.8 gives |w·| ∞  0. Thus the solution of E2.2 is unique. From Theorem 2....

Ngày tải lên: 21/06/2014, 20:20

... rational numbers, the complex number field, and the completion of the algebraic closure of Q p , respectively. Let N be the set of natural numbers and Z   N ∪{0}.Letv p be the normalized exponential ... obtain the following identities. Journal of Inequalities and Applications 3 Various kinds of the q-analogue of the Genocchi numbers and polynomials, recently, have...

Ngày tải lên: 21/06/2014, 18:20

... equations of fractional order play an important role in theory and applications, see the references 15–21 and references therein. However, as pointed out in 15, 16, the theory of boundary value problems ... boundary value problem of impulsive fractional differential equations. By means of a fixed point theorem due to O’Regan, we establish sufficient conditions for the...

Ngày tải lên: 21/06/2014, 07:20

... priori. The state of the arts at the time 1993-1994, concerning the dependence of the shape and size of the free surface of the meniscus on the pressure difference p across the free surface for small ... minimum of the free energy of the melt column. For the growth of a single crystal rod of radius r 1 ;0<r 1 <r 0 ,thedifferential equation for...

Ngày tải lên: 22/06/2014, 02:20

... C ± Γ f  C Γ | ± f is a solution of the jump problem 1.11. Summarizing, we have the following. 6 Boundary Value Problems On the other hand, if g satisfies 3.6,thenforG  ∂ x| F,wehave G  ν |∂ ν F ... us now formulate some important properties of these integral operators. For their proofs, we refer the reader to 16, 17. a S Γ f, S Γ |f ∈ C 0,α Γ. b Sokhotski-Pl...

Ngày tải lên: 22/06/2014, 06:20

... (H 2 )hold.ThenBVP(1.6) has at least three positive solutions if the conditions (H 3 )–(H 6 )hold. 3. Proofs of the theorems Proof of Theorem 2.3. Assume that (H 3 )and(H 4 )hold. For every y ∈ ... Manasevich The existence of positive solutions for boundary value problems of nonlinear functional difference equations with p-Laplacian operator is investigated. Sufficient co...

Ngày tải lên: 22/06/2014, 19:20

... drafted the manuscript. VSC participated in the performance of the in vivo viral infections and the isolation of CNS cells. MM participated in the preparation of viral stocks and determination of ... and replicate within them, generating genomic DNA within the cytoplasm of each cell type. These viral DNA motifs are then recognized by DAI, leading to the activa- tion o...

Ngày tải lên: 19/06/2014, 22:20