... Spectrum of Almost Periodic Solution of Second- Order Neutral Delay Differential Equations with Piecewise Constant of ArgumentLi Wang and Chuanyi ZhangDepartment of Mathematics, Harbin Institute of ... DoslyThe spectrum containment of almost periodic solution of second- order neutral delay differential equations with piecewise constant of argument EPCA, for short of the form xtpxt − 1qx2t ... contradiction. The claim follows. 14 Advances in Difference Equations 12 R. Yuan, “On the spectrum of almost periodic solution of second- order differential equations withpiecewise constant argument,” Nonlinear...
... BVPs of singular differential equations, ” Proceedings of the Royal Society of Edinburgh. Section A, vol. 128, no. 5, pp. 1099–1114, 1998.10 M. Zhang, “Periodic solutions of damped differential systems ... Torres, “Existence and stability of periodic solutions for second- order semilinear differential equations with a singular nonlinearity,” Proceedings of the Royal Society of Edinburgh. Section A, vol.137, ... “Existence of one-signed periodic solutions of some second- order differential equations via a Krasnoselskii fixed point theorem,” Journal of Differential Equations, vol. 190, no. 2, pp. 643–662,2003.38...
... Difference Equations 2011, 2011:14http://www.advancesindifferenceequations.com/content/2011/1/14Page 14 of 17 RESEARCH Open AccessSome new results for BVPs of first -order nonlinearintegro -differential ... the existence of solutions forfirst -order nonlinear integro -differential equations with boundary value conditions.Our methods to prove the existence of solutions involve new differential inequalitiesand ... first order impulsive integro -differential equationsof mixed type.J Math Anal Appl. 296,8–20 (2004). doi:10.1016/j.jmaa.2003.12.0478. Jankowski, T, Jankowski, R: On integro -differential equations...
... asymptotic properties of solutions of even order neutral difference equations. J. Diff. Equ. Appl. 15 , 1077–1084(2009)[5] Agarwal, RP, Grace, SR: The oscillation of certain difference equations. Math. ... Grace, SR: Oscillation of certain difference equationsof mixed type. J.Math. Anal. Appl. 224, 241–254 (1998)[7] Gyori, I, Laddas, G: Oscillation Theory of Delay Differential Equations. Clarendon ... will be made available soon.Oscillation criteria for second- order nonlinear neutral difference equations of mixed typeAdvances in Difference Equations 2012, 2012:4 doi:10.1186/1687-1847-2012-4Ethiraju...
... 2009. 10 Advances in Difference Equations 22 T. Li, Z. Han, and S. Sun, “Oscillation of one kind of second- order delay dynamic equations on timescales,” Journal of Jishou University, vol. 30, ... for second- order delay dynamic equations on timescales,” Advances in Difference Equations, vol. 2007, Article ID 70730, 16 pages, 2007.14 Z. Han, B. Shi, and S R. Sun, “Oscillation of second- order ... Journal of University of Jinan,vol. 23, no. 3, pp. 299–301, 2009.20 T. Li and Z. Han, “Oscillation of certain second- order neutral difference equation with oscillatingcoefficient,” Journal of University...
... equalto I. The proof of uniqueness is complete.To prove the existence we note, first of all, that it suffices to provide aproof if one of the κi’s is equal to ±1 and one of the δj’s is equal ... for all k ∈ Z. The proof of the first part of Theorem 4.9 is complete.In order to prove Theorem 4.9(ii), we need to compare the first and thethird factors of the two sides of (4.7). The first factors ... solutions of isomonodromy problems for such systemsof difference equations. In the case of one-interval gap probability this has been done (in a different language) in[Bor], [BB]. One example of the...
... properties of the channel capacity C(t). Again, by applyingthe concept of transformation of random variables, the PDF pC(r) of the channel capacity8 On the first- and second- order statistics of thecapacity ... process. The second- order statistical properties of multihop Rayleigh fading channels have been studied in [15], while for dualhopNakagami-m channels, the second- order statistics of the received ... LCR NC(r) of the capacity C(t) of N∗Nakagami-m channels. It canbe observed that at lower levels r , the LCR NC(r) of the capacity of N∗Nakagami-mchannels with lower values of the fading...
... polynomial solutions of a class of linear differentialequationsof the second order. Bull A M S. 36,77–84 (1930). doi:10.1090/S0002-9904-1930-04888-0Azad et al. Advances in Difference Equations 2011, ... which is aneigenfunction of L.Specializing to second- orderequations because of their importance in applications–and leaving in this article the higher -order case because of its technical complexity–thecanonical ... Advances in Difference Equations 2011, 2011:58http://www.advancesindifferenceequations.com/content/2011/1/58Page 6 of 12 3 Canonical forms of self-adjoint second- orderequations with polynomialcoefficientsLet...
... 2011:151http://jwcn.eurasipjournals.com/content/2011/1/151Page 6 of 7 about the second- order st atist ics of var ious diversity sys-tems can be easily found in the literature [13-15]. Second- order statistics analysis of macro-diversity ... the order of Gamma distribution, the measure of the shadowing pre-sent in the channels. Ω01and Ω02are related to the aver-age powers of the Gamma long-term fading distributions.3 Second- order ... Karagiannidis, On the secondorder statistics of the multihop Rayleigh fading channel. IEEE Trans Commun. 57(6),1815–1823 (2009)16. D Stefanovic, SR Panic, P Spalevic, Second- order statistics of SCmacrodiversity...
... second example, we will obtain thebound of the solutions of an integral equation.For the sake of proving the global existence of solutions ofdifferential equations, wefirst recall some basic ... in order to illustrate the validity of theabove results. In the first example, we will try to prove the global existence of the solu-tions of a delay differential equation, while in the second ... integral equation, differential equa-tion, bounded1 IntroductionDuring the past decades, with the development of the theory ofdifferential and integral equations, a lot of integral inequalities,...
... forced second- order mixedtype quasilinear delay differential equations, ” Electronic Journal of Differential Equations, p. No. 73, 9,2010.13 Y. G. Sun and F. W. Meng, “Oscillation of second- order ... for second- order forced dynamic equations withmixed nonlinearities,” Advances in Difference Equations, vol. 2009, Article ID 938706, 20 pages, 2009.11 C. Li and S. Chen, “Oscillation of second- order ... Difference Equations 8 J. Shao and F. Meng, “Oscillation theorems for second- order forced neutral nonlinear differential equations with delayed argument,” International Journal of Differential Equations, ...
... properties of the third -order differential equations see 1–20.Various techniques appeared for the investigation of such equations. Some of them 1, 19make use of the methods developed for the second- order ... properties of E with the help of EC. Without loss of generality, we can deal only with the positive solutions of E. Since every solution of Eis also a solution of EC, we are in view of ... behavior of the above-mentioned equation fromthe oscillation of a couple of the first -order differential equations. Obtained comparison principlesessentially simplify the examination of the studied equations. 1....