Báo cáo hóa học: " Research Article Lyapunov Stability of Quasilinear Implicit Dynamic Equations on Time Scales" docx

... the stability of the solution x ≡ 0 for a class of quasilinear implicit dynamic equationsontimescalesoftheformA t x Δ  ft, x. We deal with an index concept to study the solvability and use Lyapunov ... solvability of Cauchy problem for quasilinear implicit dynamic equations A t x Δ  B t x  f  t, x  , 1.4 with small perturbation ft, x and for quasilinear i...

Ngày tải lên: 21/06/2014, 05:20

... properties of certain partial dynamic equations on time scales. 1. Introduction The theory of dynamic equations on time scales unifies existing results in differential and finite difference equations and ... differential equations on time scales,” Journal of Computational and Applied Mathematics, vol. 141, no. 1-2, pp. 35–55, 2002. 13 J. Hoffacker, “Basic partial dy...

Ngày tải lên: 21/06/2014, 05:20

... and D. F. M. Torres, “Strong minimizers of the calculus of variations on time scales and the Weierstrass condition,” to appear in Proceedings of the Estonian Academy of Sciences. 12 Z. Bartosiewicz ... presence of delay is of great importance in applications. For example, its appearance in dynamic equations, variational problems, and optimal control problems may affect the...

Ngày tải lên: 21/06/2014, 20:20

... Problems 5 This equation takes as an integrable part of 1.9. We will use its solutions to construct a pair of action-angle variables. One of solutions for 2.5 is the function sin p as defined ... solutions and the boundedness of all solutions. Then the result is generalized to a class of p-Laplacian differential equation.Yang 10 considered the following nonlinear differential equ...

Ngày tải lên: 21/06/2014, 07:20

... applied to concrete partial differential equations. 1. Introduction Of concern is the exponential stability of two coupled second-order evolution equations one is an integro-differential equation in ... that the energy of a system of two coupled second order evolution equations one is an integro-differential equation decays exponentially if the convolution kernel k decays exp...

Ngày tải lên: 21/06/2014, 11:20

... Introduction The aim of this article is to extend the applications of the fixed point alternative method to provide a fuzzy version of Hyers-Ulam-Rassias stability for the functional equation: f  x ... have been considered by some mathematicians 6–12. Recently, considerable attention has been increasing to the problem of fuzzy stability of functional equations. Several vari...

Ngày tải lên: 21/06/2014, 20:20

... T-stable. Definition 5 of this paper is actually Definition 24 of 2. Therefore, many contractive conditions are special cases of 5, and, for each of these, Picard’s iteration is T-stable. ... Rhoades, “A comparison of various definitions of contractive mappings,” Transactions of the Amer- ican Mathematical Society, vol. 226, pp. 257–290, 1977. 3 M. O. Osilike, Stability...

Ngày tải lên: 21/06/2014, 22:20

... {x n } is of monotone type(A) and monotone type(B) with respect to F. Moreover, {x n } converges strongly to a common fixed point of the maps {T i : i ∈ I} if and only if lim inf n →∞ dx n ,F0. Proof. ... is of monotone type(A) and monotone type(B) with respect to F. Moreover, {x n } converges strongly to a common fixed point of the maps {T i : i ∈ I} if and only if lim inf n →∞ dx...

Ngày tải lên: 21/06/2014, 07:20

... location or microphone positions, and as such it is robust against microphone gain and phase mismatch, as well as deviations in microphone positions and variation of speaker position [11]. It only relies ... effect of multi-channel wide dynamic range compression, noise reduction, and the directional microphone on horizontal localization performance in hearing aid wearers,” Internationa...

Ngày tải lên: 21/06/2014, 08:20

... Corporation Advances in Difference Equations Volume 2009, Article ID 982681, 10 pages doi:10.1155/2009/982681 Research Article Meromorphic Solutions of Some Complex Difference Equations Zhi-Bo ... basic notations of Nevanlinna’s value distribution theory; see 1–3. Recent interest in the problem of integrability of difference equations is a consequence of the enormous act...

Ngày tải lên: 21/06/2014, 20:20