Báo cáo hóa học: " Research Article Hierarchies of Difference Boundary Value Problems" pptx

... boundary value problem. Hindawi Publishing Corporation Boundary Value Problems Volume 2011, Article ID 743135, 27 pages doi:10.1155/2011/743135 Research Article Hierarchies of Difference Boundary Value ... original boundary value problems 1–9 to eigenfunctions of the corresponding transformed boundary value problems. In particular, if λ 1 , ,λ slm1 are...

Ngày tải lên: 21/06/2014, 07:20

... problems, systems of variational equations, and systems of generalized quasiequilibrium problems in LΓ-spaces. Applications of the existence theorem of solutions for systems of generalized quasiequilibrium ... the product of a family of LΓ-spaces is also an LΓ-space. Then, by using a Himmelberg type fixed point theorem in LΓ-spaces, we establish existence theorems of solutions...

Ngày tải lên: 21/06/2014, 11:20

... 2   b  m − 2  . 3.30 Proof. Without loss of generality, we may shift the spectrum of 2.2 with boundary conditions 3.2, 3.13, such that the least eigenvalue of 2.2 with boundary conditions ... shows that the boundary value problem given by vn obeying 2.2 together with any one of the four types of boundary conditions in the above theorem has m − 1 eigenval...

Ngày tải lên: 21/06/2014, 11:20

... eigenvalue of the given boundary value problem. We can then transform the given boundary value problem to one consisting of an equation of the same type but with specified non-Dirichlet boundary ... times, it is possible to keep track of how the eigenvalues of the various transformed boundary value problems relate to the eigenvalues of the original boundary value...

Ngày tải lên: 21/06/2014, 11:20

... supported by NSFC 10771085,byKey Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education, and by the 985 Program of Jilin University. 8 Boundary Value Problems Therefore, F λ satisfies ... the theory of ODE boundary value problems: classical and recent results,” in Non-Linear Analysis and Boundary Value Pr oblems for Ordinary Differential Equations...

Ngày tải lên: 21/06/2014, 05:20

... Hindawi Publishing Corporation Boundary Value Problems Volume 2011, Article ID 570493, 9 pages doi:10.1155/2011/570493 Research Article Nonlocal Four-Point Boundary Value Problem for the Singularly ... then there exists solution y  of 1.1, 1.2 with α  ≤ y  ≤ β  . Proof of uniqueness of solution for 1.1, 1.2 will be based on the following lemmas. Boundary Val...

Ngày tải lên: 21/06/2014, 11:20

... notations A T and A −1 mean the transpose of A and the inverse of a square matrix. λ max A or λ min A denote the maximum eigenvalue or the minimum eigenvalue of matrix A.Idenotes the identity matrix ... have collective computational properties like those of two-state neurons,” Proceedings of the National Academy of Sciences of the United States of America, vol. 81, no. 10...

Ngày tải lên: 21/06/2014, 05:20

... inequality with the use of Gronwall inequality. Then, v ≤ u in D T , and the proof of part i of the lemma is completed. The similar argument gives the proof of part ii of the lemma. Advances ... comments. The work was supported by the research fund of Department of Education of Sichuan Province 10ZC127 and the research fund of Sichuan College of Education CJYKT0...

Ngày tải lên: 21/06/2014, 05:20

... the remainder of the division of x n by the characteristic polynomial of A. Further, by elementary techniques of linear algebra one can also compute them in terms of the eigenvalues of A an approach ... of 2.2. For the proof of the first part of 2.2, let us recall that if x ∗ ,y ∗  is a fixed point of 1.2 associated to the real eigenvalue λ, then X ∗ x ∗ ,y ∗ , 1...

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... Publishing Corporation Boundary Value Problems Volume 2011, Article ID 475126, 17 pages doi:10.1155/2011/475126 Research Article Existence of Positive Solutions to a Boundary Value Problem for a ... boundary value problems of N-dimension nonlinear fractional differential system,” Boundary Value Problems, vol. 2008, Article ID 437453, 15 pages, 2008. 21 S. Zhang, “...

Ngày tải lên: 21/06/2014, 05:20