applications of second order differential equations in physics

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 22/06/2014, 22:20

... soon. Lyapunov-type inequalities for a class of even -order differential equations Journal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029-242X-2012-5 Qi-Ming Zhang (zhqm20082008@sina.com) Xiaofei ... below). For information about publishing your research in Journal of Inequalities and Applications go to http://www.journalofinequalitiesandapplications.com/authors/instructions/ For information ... (2.11) Since |x(c)| > 0, divided the last inequality of (2.11) by |x(c)|, we can obtain (2.10).  By a similar method in the proof of Theorem 1.1, applying Lemmas 2.1 and 2.3, we can obtain the...

Ngày tải lên: 20/06/2014, 21:20

... k ≥ a In this case, completely analyzed in 1, any positive solution y is either decreasing or eventually increasing. We say that y is of class M  in the first case, of class M − in the second one. ... difference tending to zero, have two possible asymptotic behaviors, since they can be slowly varying or regularly varying with index 1 in case ii, or regularly varying with two different indices in case ... solutions of 1.1 and D denote the set of all positive dominant solutions of 1.1.FromTheorem 4.1, taking into account Theorem 3.1, the following characterization of recessive and dominant solution...

Ngày tải lên: 21/06/2014, 11:20

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 22/06/2014, 19:20

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 22/06/2014, 22:20

... Spectrum of Almost Periodic Solution of Second- Order Neutral Delay Differential Equations with Piecewise Constant of Argument Li Wang and Chuanyi Zhang Department of Mathematics, Harbin Institute of ... ω. This brings more convenience to study the spectrum containment of almost periodic solution of 1.1. Now, we are in the position to show the Main Theorem. The proof of Main Theorem Since H 1  ... periodic. In this paper, we investigate the existence, uniqueness, and spectrum containment of almost periodic solutions of 1.1. T he main result obtained in this paper is different from that given in...

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 27/03/2014, 11:52

Ngày tải lên: 27/03/2014, 11:52

Ngày tải lên: 27/03/2014, 11:52

Ngày tải lên: 27/03/2014, 11:52

... SCHULENBERGER Library of Congress Cataloging in Publication Data lvanov, A. V. Quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order. (Proceedings of the Steklov Institute of ... satisfying (1.1) in SZ and coinciding with T on 852. While the admissible structure of linear elliptic equations is determined mainly by the condition of sufficient smoothness of the coefficients, in ... priori estimate of maxnivul breaks down into two steps: 1) obtaining maxaalvul in terms of maxsljul, and 2) obtaining an estimate of maxr 1vul in terms of maxanlvul and maxalul. The estimates of maxaulvul...

Ngày tải lên: 31/05/2014, 01:37

... yklie@ynu.edu. cn Department of Mathematics, Yunnan University Kunming, Yunnan 650091, People’s Republic of China Abstract In this paper, by making use of the coincidence degree theory of Mawhin, the existence of the ... problems do in the continuous case. For instance, in BVPs (1.1), let g(s)= k i=1 a i (s t i ), where k 1isaninteger,a i ẻ [0, ∞), i = 1, , k, {t i } k i=1 is a finite increasing sequence of distinct ... Δ?Δ?-integral conditions, resonance, time scales 1 Introduction Hilger [1] introduced the notion of time scales in order to unify the theory of continu- ous and discrete calculus. The field of...

Ngày tải lên: 20/06/2014, 22:20

... inte- ger -order ordinary differential equations. Toidentifyafew,wereferthereaderto [2-13] and the references therein. Fractional differential equations arise in many engineering and scientific disciplines as ... accurate than integer- order models, i.e., there are more degrees of freedom in the fractional -order models. In consequence, the subject of fractional differential equations is gaining much impor- tance ... Three-point boundary value problem, Fractional differ- ential equations, Guo-Krasnoselskii fixed point theorem, Cone 1 Introduction The study of three-point BVPs for nonlinear integer -order ordinary...

Ngày tải lên: 21/06/2014, 03:20

... asymptotic solutions of second- order linear differential equations, the method used in Wong and Li’s papers cannot give us way to obtain error bounds of these asymptotic solutions. Only order estimations ... two cases of 3, respectively. In the rest of this section, we introduce the main results of 3 in the case that k is positive. In the next section, we give two lemmas on estimations of bounds ... completed the estimate of the error bounds for asymptotic solutions to second order linear difference equations in the first case. For the second case, we leave it to the second part of this paper: Error...

Ngày tải lên: 21/06/2014, 11:20

... 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 Hilbert space H u   t   ... and reproduction in any medium, provided the original work is properly cited. By using the multiplier technique, we prove that the energy of a system of two coupled second order evolution equations ... β 2   a   T S    √ Aut    2 dt   T S    √ Avtβut    2 dt. 2.28 Proof. Taking the inner product of both sides of 1.2 with vt and integrating over S, T , we see  T S   v  t   2 dt   T S  v   t  ,v  t    dt...

Ngày tải lên: 21/06/2014, 11:20