Báo cáo hóa học: "HILLE-KNESER-TYPE CRITERIA FOR SECOND-ORDER DYNAMIC EQUATIONS ON TIME SCALES" pot

... Applications [7] M. Bohner and A. Peterson, Dynamic Equations on Time Scales. An Introduction with Applica- tions,Birkh ¨ auser, Boston, Mass, USA, 2001. [8] M. Bohner and A. Peterson, Eds., ... f : T → R be a function on time scales. Then for t ∈ T κ ,wedefine f Δ (t)tobethe number, if one exists, such that for all ε>0, there is a neighborhood U of t such that for all s ∈...

Ngày tải lên: 22/06/2014, 18:20

... result for a multi-point boundary value problem on a time scale, to appear in Advances in Difference Equations. [9] D.S.Naidu,Singular perturbations and time scales in control theory and applications: ... Perturbation method for difference equations [6] M. S. Krishnarayalu, Singular perturbation methods for one-point two-point and multi-point boundary value problems in multi-par...

Ngày tải lên: 22/06/2014, 22:20

... Peterson, Dynamic Equations on Time Scales, Birkh ¨ auser, Boston, Mass, USA, 2001. 16 M. Bohner and A. Peterson, Eds., Advances in Dynamic Equations on Time Scales, Birkh ¨ auser, Boston, Mass, ... 2. Particular cases i Let gt > 0on a, b T and ftt β on 0, ∞. One can see that f is convex on 0, ∞ for β<0orβ>1, and f is concave on 0, ∞ for β...

Ngày tải lên: 22/06/2014, 03:20

... Peterson, Dynamic Equations on Time Scales: An Introduction with Applica- tions,Birkh ¨ auser, Boston, Mass, USA, 2001. [5] M. Bohner and A. Peterson, Advances in Dynamic Equations on Time Scales,Birkh ¨ auser, ... Corollary 3.6 to obtain the ex- plicit estimates on the solutions of a dynamic equation on time scales. Consider the following initial value problem on t...

Ngày tải lên: 22/06/2014, 06:20

... and A. Peterson (eds.), Advances in Dynamic Equations on Time Scales,Birkh ¨ auser Boston, Massachusetts, 2003. [2] H. Brezis, Analyse Fonctionnelle: Th ` eorie et Applications, Masson, Paris, ... Vivero, Criterions for absolute continuity on time scales,JournalofDifference Equations and Applications 11 (2005), no. 11, 1013–1028. [4] , Expression of the Lebesgue Δ−integ ral on...

Ngày tải lên: 22/06/2014, 22:20

... Difference Equations. [9] M. Bohner and A. Peterson, Dynamic Equations on Time Scales. An Introduction with Applica- tions,Birkh ¨ auser Boston, Massachusetts, 2001. [10] M. Bohner and A. Peterson (eds.), ... Advances in Dynamic Equations on Time Scales,Birkh ¨ auser Boston, Massachusetts, 2003. [11] C. J. Chyan and J. Henderson, Eigenvalue problems for nonlinear differentia...

Ngày tải lên: 22/06/2014, 22:20

... − η  . Therefore, Q is a contraction mapping with contraction constant a <1. By the contrac- tion mapping principle, Q has a unique fixed point z in S which is a solution of (8) with z (t)=ψ (t )on[ m(s), ... 11 function p(t) on t he contraction condition, we get new criteria for asymptotic stability ofthezerosolutionbyusingthefixedpoint method and the differential inequality techni...

Ngày tải lên: 20/06/2014, 22:20

... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Oscillation criteria for second-order nonlinear ... 2 Oscillation results In this section, we obtain sufficient conditions for the oscillation of all solu- tions of Equation (E ± ). First we consider the Equation (E − ), viz, ∆ 2 (x n...

Ngày tải lên: 21/06/2014, 17:20

... solutions of second-order forced nonlinear dynamic equations, to appear in The Rocky Mountain Journal of Mathematics. [30] , New oscillation criteria for second-order nonlinear dynamic equations on ... Oscillation of nonlinear dynamic equations on time scales, Applied Mathematics and Computation 148 (2004), no. 1, 81–91. [27] , Oscillation criteria of second-order...

Ngày tải lên: 22/06/2014, 22:20