báo cáo hóa học:" Research Article Existence and Nonexistence of Global Solutions of the Quasilinear Parabolic Equations with Inhomogeneous Terms" pot

... Difference Equations Volume 2010, Article ID 451619, 11 pages doi:10.1155/2010/451619 Research Article Existence and Nonexistence of Global Solutions of the Quasilinear Parabolic Equations with Inhomogeneous ... obtained. We will prove Theorem 1.1a and b in Sections 3 and 4, respectively. The proof of Theorem 1.2 is included in the proof of The...

Ngày tải lên: 21/06/2014, 11:20

... Journal of Inequalities and Applications Proof of Theorem 2.3. Necessity.ByTheorem 2.1, M ∈ Δ 2 .Ifb is not true, then there exist x ∈ SX, {y n } ∞ n1 ⊂ SX such that 1/2x  y n → 1and 1/2x ... However, because of the complicated structure of Orlicz-Bochner function spaces equipped with the Luxemburg norm, the criteria for nonsquareness and locally uniform n...

Ngày tải lên: 21/06/2014, 05:20

... anti-periodic solutions to neural networks with impulse. The main purpose of this paper is to study the existence and global exponential stability of anti-periodic solutions of system 1.1 by using the ... Conclusions Using the time scales calculus theory, the coincidence degree theory, and the Lyapunov functional method, we obtain sufficient conditions for the...

Ngày tải lên: 21/06/2014, 07:20

... nonlinear alternative of Leray-Schauder and Krasnosel’skii fixed-point theorem on compression and expansion of cones, and obtained the existence of at least two positive solutions under reasonable ... conditions. In 6, the authors established the existence of sign-changing solutions and positive solutions f or fourth-order Neumann boundary value problem by usi...

Ngày tải lên: 21/06/2014, 11:20

... 1.1 to the interval −L, L yields 2L-spatial periodic solutions of 1.2 Gyulov et al. 3 have studied the existence and multiplicity of nontrivial solutions of BVP 1.1. They gained the following ... function and then used the fixed point theorem of cone extension or compression to study the problem. The purpose of this paper is using the idea of 7 to...

Ngày tải lên: 21/06/2014, 11:20

... continuous, and order preserving. Consequently, K is a compact operator. On the other hand, it is clear that the fixed points of K are the solutions of problem P. Now the conclusion follows from Theorem ... the solutions of Dirichlet problems and again on the nonlinear alternative of Leray-Schauder. We start with an existence and localization principle for p...

Ngày tải lên: 21/06/2014, 17:20

... Difference Equations Volume 2010, Article ID 197263, 11 pages doi:10.1155/2010/197263 Research Article Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like ... suggestions and comments, which improved the quality of this paper. The work was supported by the NSF of China, the NSF of Jiangxi Province of Ch...

Ngày tải lên: 21/06/2014, 18:20

... nontrivial solution of the BVP 1.1 and 1.2. Next, we show the uniqueness of solutions of the BVP 1.1 and 1.2. Assume, to the contrary, that there exist two nontrivial solutions y 1 and y 2 of the BVP ... u λ satisfies the properties (i)–(iii) stated in Theorem 1.1. The aim of this work is to relax the assumptions A 1  and B 1  on the nonlinea...

Ngày tải lên: 21/06/2014, 18:20

... 27. Recently, Du and Zhao 7, by constructing lower and upper solutions and together with the maximal principle, proved the existence and uniqueness of positive solutions for the following singular ... completes the proof of the theorem. Hindawi Publishing Corporation Boundary Value Problems Volume 2010, Article ID 254928, 16 pages doi:10.1155/2010/254928 Re...

Ngày tải lên: 21/06/2014, 18:20

... A necessary and sufficient condition for the existence and uniqueness of smooth positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity ft, ... study the existence and uniqueness of smooth positive solutions to the second-order singular m-point boundary value problem 1.1 and 1.2.A necessary an...

Ngày tải lên: 21/06/2014, 20:20