solving system of second order linear differential equations
báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
... 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 ... second- order linear difference equations, ” Journal of Computational and Applied Mathematics, vol. 41, no. 1-2, pp. 65–94, 1992.3 R. Wong and H. Li, “Asymptotic expansions for second- order linear ... solutions to 1.2 is still open. The purpose of this and the next paper Errorbounds for asymptotic solutions of second- order linear difference equations II: the second case is to estimate error bounds...
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Báo cáo hóa học: " Research Article Sturm-Picone Comparison Theorem of Second-Order Linear Equations on Time Scales" ppt
... theorem of solution for second order nonlinear differential equations, ” Annals of Differential Equations, vol. 19, no. 3, pp. 480–486, 2003.7 R K. Zhuang and H W. Wu, “Sturm comparison theorem of ... theorem of second- order differential equations see Section 1.Remark 3.6. In the discrete case: μt ≡ 1. This result is the same as Sturm comparison theorem of second- order difference equations ... of second- order linear equations on timescales. We first establish Picone identity on time scales and obtain our main result by using it.Also, our result unifies the existing ones of second- order...
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Báo cáo sinh học: " Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian" ppt
... introduction of the basic theory of impulsivedifferential equations, see Lakshmikantham et al. 1; for an overview of existing results and of recent research areas of impulsive differential equations, ... olutionyt,t∈ J with property 3.17.Proof. The proof is similar to that of Theorem 3. 2of 6.Theorem 3.5. Assume that H1, H2, 3.1 of H3 and 3.14 and 3.15 of H4 hold. Inaddition, ... problems,”Journal of Mathematical Analysis and Applications, vol. 116, no. 2, pp. 415–426, 1986.41 Z. Bai and H. Wang, “On positive solutions of some nonlinear fourth -order beam equations, ” Journal of Mathematical...
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Báo cáo hóa học: " Research Article On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument" ppt
... 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 ... 14 Advances in Difference Equations 12 R. Yuan, “On the spectrum of almost periodic solution of second- order differential equations withpiecewise constant argument,” Nonlinear Analysis: Theory,...
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galois theory of linear differential equations - m. van der put, m. singer
... translates into ZL=(ra,b)GL. A proof of Lemma 1.29 finishesthe proof of the theorem. ✷Proof of lemma 1.29.The proof is rather similar to the one of lemma 1.23. The only thing that wehave ... as a group of matricesand has the structure of a linear algebraic group, that is, it is a group of invertiblematrices defined by the vanishing of a set of polynomials on the entries of thesematrices. ... O-submodules N1,N2 of N with N = N1⊕N2and Ni= Fifor i =1, 2.Proof. The proof is similar to the proof of Proposition 3.17. Let S1and S2be the set of eigenvalues of E acting on F1and...
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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
... questions of solvability of basic boundary value problemsfor quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order, andalso to the investigation of differential ... with this, one of the first questions of the general theory of boundary value problems for quasilinearelliptic equations of the form (1)is the question of distinguishing classes of equations for ... C,PART I: EQUATIONS OF NONDIVER(iENCE TYPEquestion of the validity of a priori estimates of the maximum moduli of the gradients of solutions for quasilinear elliptic and parabolic equations is the...
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báo cáo hóa học:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient" ppt
... properties of Emden-Fowlerdifference equations, ” Central European Journal of Mathematics, vol. 7, no. 2, pp. 322–334, 2009.13 P.ˇReh´ak, “Oscillatory properties of second order half -linear ... criteria for second order linear difference equations, ”Fasciculi Mathematici, no. 31, pp. 71–89, 2001.9 M. Cecchi, Z. Doˇsl´a, and M. Marini, “Positive decreasing solutions of quasi -linear difference equations, ” ... sequences and second order difference equations, ”Journal of Difference Equations and Applications, vol. 14, no. 1, pp. 17–30, 2008.7 J. Jaroˇs and T. Kusano, “Self-adjoint differential equations...
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báo cáo hóa học:" Research Article Solutions and Green’s Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations" ppt
... and Green’s Functions forBoundary Value Problems of Second- Order Four-Point Functional Difference Equations Yang Shujie and Shi BaoInstitute of Systems Science and Mathematics, Naval Aeronautical ... theory,Deng and Shi 5 studied the existence and multiplicity of the boundary value problems to aclass of second- order functional difference equations Lun fn, un1,un,un−11.1with boundary ... differential systems,” IndianJournal of Pure and Applied Mathematics, vol. 36, no. 12, pp. 685–705, 2005.5 X. Deng and H. Shi, “On boundary value problems for second order nonlinear functional...
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báo cáo hóa học:" Research Article Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems" pdf
... Hu, and Y. Wu, “Positive solutions of two-point boundary value problems for systems of nonlinear second- order singular and impulsive differential equations, ” Nonlinear Analysis: Theory,Methods ... Hristova and D. D. Ba˘ınov, “Existence of periodic solutions of nonlinear systems of differential equations with impulse effect,” Journal of Mathematical Analysis and Applications, vol. 125, no. 1, ... 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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Báo cáo sinh học: " Research Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations" potx
... Journal of Mathematical Analysis and Applications, vol. 326, no. 2, pp. 1161–1173,2007.9 J. Wu and Z. Wang, “Two 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 of linear and quasilinear neutral functional-differential equations, ”Journal ... and Lyapunov Stability of Periodic Solutions for Generalized Higher -Order Neutral Differential Equations Jingli Ren,1Wing-Sum Cheung,2and Zhibo Cheng11Department of Mathematics, Zhengzhou...
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báo cáo hóa học:" Research Article Oscillation of Second-Order Mixed-Nonlinear Delay Dynamic Equations" pdf
... 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 ... second- order nonlinear dynamic equations on timescales,” Electronic Journal of Differential Equations, no. 145, pp. 1–8, 2006.17 Q. Kong, “Interval criteria for oscillation of second- order linear ... for second- order forced dynamic equations withmixed nonlinearities,” Advances in Difference Equations, vol. 2009, Article ID 938706, 20 pages, 2009.8 D. R. Anderson, “Oscillation of second- order...
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Báo cáo hóa học: " Research Article Inequalities among Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions" pptx
... problems for second- order difference equations. Existence of eigenvalues is proved, numbers of their eigenvalues are calculated,and their relationships between the eigenvalues of second- order difference ... 18 Advances in Difference Equations 4 Y. Wang and Y. Shi, “Eigenvalues of second- order difference equations with periodic and antiperiodicboundary conditions,” Journal of Mathematical Analysis ... vol. 8 of Mathematics in Science andEngineering, Academic Press, New York, NY, USA, 1964.2 Y. Shi and S. Chen, “Spectral theory of second- order vector difference equations, ” Journal of Mathematical...
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