solution of second order coupled differential equations

... 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 ... which guarantees the uniqueness of solution of 1.1 and cannot be omitted. To study the spectrum of almost periodic solution of 1.1, we firstly study the solution of 1.1.Let f 1 n   n1 n  s n f  σ  dσ ... Dosly The spectrum containment of almost periodic solution of second- order neutral delay differential equations with piecewise constant of argument EPCA, for short of the form xtpxt − 1   qx2t...

Ngày tải lên: 21/06/2014, 20:20

... 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 ... open. The purpose of this and the next paper Error bounds for asymptotic solutions of second- order linear difference equations II: the second case is to estimate error bounds for solutions to 1.2. ... 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

... nonnegative solutions for second order impulsive differential equations, ” Applied Mathematics and Computation, vol. 114, no. 1, pp. 51–59, 2000. 13 B. Liu and J. Yu, “Existence of solution of m-point ... introduction of the basic theory of impulsive differential equations, see Lakshmikantham et al. 1; for an overview of existing results and of recent research areas of impulsive differential equations, ... fourth -order beam equations, ” Journal of Mathematical Analysis and Applications, vol. 270, no. 2, pp. 357–368, 2002. 42 R. Ma and H. Wang, “On the existence of positive solutions of fourth-order...

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... 18 Advances in Difference Equations 4 Y. Wang and Y. Shi, “Eigenvalues of second- order difference equations with periodic and antiperiodic boundary conditions,” Journal of Mathematical Analysis ... Difference Equations Volume 2009, Article ID 347291, 18 pages doi:10.1155/2009/347291 Research Article Inequalities among Eigenvalues of Second- Order Difference Equations with General Coupled Boundary ... Johnny Henderson This paper studies general coupled boundary value problems for second- order difference equations. Existence of eigenvalues is proved, numbers of their eigenvalues are calculated, and...

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... the proof of an a priori estimate of the Hdlder norm IIulIc^(u) for solutions of uniformly elliptic equations. V. The estimate of maxnl vul for equations with structure described in terms of the ... Ilullc, t°cal in terms of IlullcI(n> for solutions of arbitrary elliptic equations of the form (1), at the end of Chapter 1 theorems on the existence of classical solutions of the Dirichlet problem ... with this, one of the first questions of the general theory of boundary value problems for quasilinear elliptic equations of the form (1)is the question of distinguishing classes of equations for...

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... ∪NRV 2 . Proof . First we show the last part of the statement. Let {x, y}be a fundamental set of solutions of 1.1,withy ∈NRV 1 , x ∈NRV 2 ,andletz be an arbitrary solution of 1.1,with z k > ... possible values of the limits of y and of Δy. Solutions in M  ∞,B , M  ∞,0 , M  B,0 are sometimes called, respectively, dominant solutions, intermediate solutions, and subdominant solutions, since, ... positive solutions is particularly meaningful in the study of dominant and recessive solutions. Let Advances in Difference Equations 13 R denote the set of all positive recessive solutions of 1.1...

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... pages doi:10.1155/2010/973731 Research Article Solutions and Green’s Functions for Boundary Value Problems of Second- Order Four-Point Functional Difference Equations Yang Shujie and Shi Bao Institute of Systems Science ... holds. Then the second- order four-point BVP 2.13 has a unique solution which is given in 2.29. Proof. We need only to show the uniqueness. Obviously, wt in 2.29 is a solution of BVP 2.13. ... existence of positive solutions for a second- order functional difference equation with four-point boundary conditions. 1. Introduction In recent years, boundary value problems BVPs of differential...

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... Article Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second- Order Impulsive Differential Systems Eun Kyoung Lee and Yong-Hoon Lee Department of Mathematics, Pusan National ... existence, and multiplicity of positive solutions of a singular boundary value problem for second- order differential systems with impulse effects. By using the upper and lower solutions method and fixed ... vol. 40, no. 3-4, pp. 307– 328, 2004. 4 B. Liu and J. Yu, “Existence of solution of m-point boundary value problems of second- order differential systems with impulses,” Applied Mathematics and Computation,...

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... periodic solutions of second- order neutral functional differential equations, ” Journal of Mathematical Analysis and Applications, vol. 329, no. 1, pp. 677–689, 2007. 10 M. R. Zhang, “Periodic solutions ... study the Lyapunov stability of the periodic solutions of 3.32. Theorem 3.5. Assume that H 4  holds. Then every T-periodic solution of 3.32 is Lyapunov stable. Proof. Let z 1  t   x  t  ,z 2  t   ... and Lyapunov Stability of Periodic Solutions for Generalized Higher -Order Neutral Differential Equations Jingli Ren, 1 Wing-Sum Cheung, 2 and Zhibo Cheng 1 1 Department of Mathematics, Zhengzhou...

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... nonoscillation of forced second order dynamic equations, ” Pacific Journal of Mathematics, vol. 230, no. 1, pp. 59–71, 2007. 12  M. Bohner and S. H. Saker, “Oscillation of second order nonlinear dynamic equations ... for second- order forced dynamic equations with mixed nonlinearities,” Advances in Difference Equations, vol. 2009, Article ID 938706, 20 pages, 2009. 8 D. R. Anderson, “Oscillation of second- order ... second- order nonlinear dynamic equations on time scales,” Electronic Journal of Differential Equations, no. 145, pp. 1–8, 2006. 17 Q. Kong, “Interval criteria for oscillation of second- order...

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... equations of second order, ” Annals of Mathematics, vol. 65, pp. 197–202, 1957. 6 R. Zhuang, “Sturm comparison theorem of solution for second order nonlinear differential equations, ” Annals of ... theorem of second- order differential equations see Section 1. Remark 3.6. In the discrete case: μt ≡ 1. This result is the same as Sturm comparison theorem of second- order difference equations ... differential equations of second order, ” Proceedings of the American Mathematical Society, vol. 13, pp. 603–610, 1962. 4 W. Leighton, “Some elementary Sturm theory,” Journal of Differential Equations, ...

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... pages doi:10.1155/2009/685040 Research Article Existence of Positive Solution to Second- Order Three-Point BVPs on Time Scales Jian-Ping Sun Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu ... on time scales,” Journal of Difference Equations and Applications, vol. 14, no. 7, pp. 723–736, 2008. 9 H. Luo and Q. Ma, “Positive solutions to a generalized second- order three-point boundary-value problem ... scale,” Electronic Journal of Differential Equations, vol. 2003, no. 82, 11 pages, 2003. 8 R. A. Khan, J. J. Nieto, and V. Otero-Espinar, “Existence and approximation of solution of three-point boundary...

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