Báo cáo hóa học: " Research Article Multiple Positive Solutions in the Sense of Distributions of Singular BVPs on Time Scales and an Application to Emden-Fowler Equations" docx

... pages doi:10.1155/2008/796851 Research Article Multiple Positive Solutions in the Sense of Distributions of Singular BVPs on Time Scales and an Application to Emden-Fowler Equations Ravi P. Agarwal, 1 Victoria Otero-Espinar, 2 Kanishka ... devoted to using perturbation and variational techniques to derive some sufficient conditions for the exist...

Ngày tải lên: 22/06/2014, 11:20

... by the condition bx ≥ b ∞ and the existence of ground state solutions of limit equation −Δu  u  b ∞ u p−1 in Ω, u> 0in , u  0on Ω. E b ∞  In order to get the second positive solution of ... domain in N , ax, bx satisfy suitable conditions, and ax maybe change sign in Ω. 1. Introduction and Main Results In this paper, we deal with the existen...

Ngày tải lên: 21/06/2014, 11:20

... bounded and O 2 is unbounded and we get the conclusion of this theorem for Γ, O 1 , and O 2 . 4. Multiplicity In this section, we study existence of the second positive solution for two point boundary value ... Preliminary In this section, we introduce two types of fundamental theorems of upper and lower solutions method for a singular system with no impulse effec...

Ngày tải lên: 21/06/2014, 11:20

... Vivre, Multiple positive solutions in the sense of distributions of singular BAPS on time scales and an application to Eden-Fowler equations,” Advances in Difference Equations, vol. 2008, Article ... Equations and Applications, vol. 6, no. 4, pp. 417–429, 2000. 4 D. Anderson, R. Avery, and J. Henderson, “Existence of solutions for a one dimensiona...

Ngày tải lên: 21/06/2014, 20:20

... types of intervals are defined similarly. Some definitions concerning time scales can be found in 1–5. In this paper, we are concerned with the existence of positive solutions for the following nonlinear ... y  1   0. 1.3 They proved the existence of one solution to the problem 1.3 by applying Schaefer’s fixed point theorem and the nonlinear alternative...

Ngày tải lên: 21/06/2014, 20:20

... positive solutions associated with the BVP 1.1 by applying the fixed point theorems of cone expansion and compression of norm type if m ≥ 2 and the existence of at least three positive solutions ... see 1–8. The rest of the paper is organized as follows. In Section 2, we present several lemmas. In Section 3, we give some preliminaries and the fixed po...

Ngày tải lên: 21/06/2014, 16:20

... about the general theory of integral equations and their relation with boundary- value problems, we refer to the book of Corduneanu 22 and Agarwal and O’Regan 23. On the other hand, boundary-value ... point index theory in cone for strict set contraction operator. In 44, Kang et al. have improved and generalized the work of 34 by applying the fixed point...

Ngày tải lên: 21/06/2014, 16:20

... corresponding to the vertical and horizontal polarizations are collected. In baseband processing, the output is the linear combination of the received inphase and quadrature signals processed by the ... directions are −44 and 0 dB. Constraint minimization requires the single MVDR beamformer to keep unit-gain at the direction of the satellite, permitting the G...

Ngày tải lên: 21/06/2014, 22:20

... ker(I −K) is isomorphic to the space of solutions to (1.3).  To get more information on the index functions, in the following we will compute the index and the nullity of the diagonal positive definite ... distinct noncon- stant Z p -orbits of critical points of F H and the proof is complete.  Remark 4.6. In addition to the assumptions in Theor...

Ngày tải lên: 22/06/2014, 19:20

... method (CGM) is used to solve the matrix equation and to obtain the weighting solution. It has a good convergence characteristic and converges to the minimum norm solution, even for the singular problem ... out all the signals and only noise and interferers are left. The first row of the matrix in (5) is the constraint to the desired signal which produce...

Ngày tải lên: 21/06/2014, 05:20