Báo cáo hóa học: " Research Article Multiplicity of Positive and Nodal Solutions for Nonhomogeneous Elliptic Problems in Unbounded Cylinder Domains" pdf

... pages doi:10.1155/2009/687385 Research Article Multiplicity of Positive and Nodal Solutions for Nonhomogeneous Elliptic Problems in Unbounded Cylinder Domains Tsing-San Hsu Center for General Education, ... “Multiple solutions for semilinear elliptic equations in unbounded cylinder domains,” Proceedings of the Royal Society of Edinburgh. Section...

Ngày tải lên: 21/06/2014, 20:20

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2007, Article ID 42530, 9 pages doi:10.1155/2007/42530 Research Article Existence of Periodic and Subharmonic Solutions for Second-Order ... ways of establishing the functional in [2–7] are inapplicable to our case. The main purpose of this paper is to give some sufficient conditions for the existence...

Ngày tải lên: 22/06/2014, 19:20

... Value Problems of multiple positive solutions was obtained by using the fixed-point index theory. Recently, instead of Schauder fixed-point theorem and fixed-point index theory, Chu and Zhou 10 ... 1/ √ 3 is a positive constant and ft, u is continuous in t, u and 2π- is periodic in t. We are mainly interested in the case that ft, u may be singular at u  0 and...

Ngày tải lên: 22/06/2014, 00:20

... 0,c 1  min t ct > 0. 3.31 2 Boundary Value Problems of multiple positive solutions was obtained by using the fixed-point index theory. Recently, instead of Schauder fixed-point theorem and fixed-point ... Hindawi Publishing Corporation Boundary Value Problems Volume 2008, Article ID 574842, 9 pages doi:10.1155/2008/574842 Research Article Multiplicity of Positive...

Ngày tải lên: 22/06/2014, 06:20

... gσ,φ 1 σ ∈ K for each σ ∈ R. Now from the uniform continuity of F b on bounded subsets of X, it obviously follows that F b is uniformly continuous on K uniformly for each t ∈ R. Therefore for every ... class of continuous functions from R into Y resp., the class of jointly continuous functions F : R × Y → X. 10 Boundary Value Problems The class of sectorial operators...

Ngày tải lên: 21/06/2014, 20:20

... Methods of Their Solution and Some of Their Applications, vol. 198 of Mathematics in Science and Engineering, Academic Press, San Diego, Calif, USA, 1999. 8 C. Bai, “Triple positive solutions for ... 1.1 includes the usual system of fractional differential equations when τ ij t ≡ t for all i and j. Therefore, the obtained results generalize and include some exis...

Ngày tải lên: 21/06/2014, 05:20

... critical p oint of mountain pass type of J,thenx is a critical point of mountain pass type of J. 3. Proof of Theorem 1.3 In this section, firstly, we obtain a positive solution u  and a negative ... un and obtained the existence of multiple solutions. Ve ry r ecently, Zheng and Zhang 5 obtained the existence of exactly three solutions to 1.1 by making use of...

Ngày tải lên: 21/06/2014, 05:20

... Lakshmikantham, Nonlinear Problems in Abstract Cones, vol. 5 of Notes and Reports in Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1988. 8 Fixed Point Theory and Applications By ... 1  , 3.7 and so H : Y  → Y  ∩ X. Fixed Point Theory and Applications 11 11 Z. Wei and C. Pang, Positive solutions and multiplicity of fourth-order...

Ngày tải lên: 21/06/2014, 07:20

... Corporation Journal of Inequalities and Applications Volume 2010, Article ID 896087, 6 pages doi:10.1155/2010/896087 Research Article Application of the Subordination Principle to the Harmonic Mappings Convex in ... r  5 . 2.18 Proof. Since J f z|h  z| 2 −|g  z| 2  |h  z| 2 1 −|wz| 2 , then using Lemma 2.1 and Theorem 2.2 and after straightforward calcula...

Ngày tải lên: 21/06/2014, 07:20

... iterative process and used it for the weak and strong convergence of fixed points of self-mappings in a uniformly convex Banach space. As remarked earlier, Suantai 7 has established weak and strong ... corresponding results of Suantai 7 and others for nonself- mappings and those of Chidume et al. 12 in the sense that our iterative process contains the one used b...

Ngày tải lên: 21/06/2014, 10:20