second order elliptic systems of differential equations
Báo cáo hóa học: " Oscillation of higher-order quasi-linear neutral differential equations" doc
... to zero as t ® ∞.Proof. The proof of the corollary is similar to the proof of Corollary 3.3 and so it isomitted.From the above results on the oscillation of odd -order differential equation ... criteria for second- order superlinear neutral differential equations. Abstr ApplAnal. 2011,1–17 (2011)13. Li, T, Han, Z, Zhao, P, Sun, S: Oscillation of even -order neutral delay differential equations. ... delay differential equations of higher order for p(t) = ± 1. Arch Math. 40, 359–366 (2004)16. Tang, S, Li, T, Thandapani, E: Oscillation of higher -order half-linear neutral differential equations. ...
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Báo cáo hóa học: " Research Article Lagrangian Stability of a Class of Second-Order Periodic Systems" docx
... independent of .Hindawi Publishing CorporationBoundary Value ProblemsVolume 2011, Article ID 845413, 18 pagesdoi:10.1155/2011/845413Research ArticleLagrangian Stability of a Class of Second- Order ... Boundary Value Problems2. The Proof of TheoremThe proof of Theorem 1.1 is based on Moser’s small twist theorem for reversible mapping. Itmainly consists of two steps. The first one is to find ... transformations,we change the systems 1.9 to a form of small perturbation of integrable reversible system.Then a KAM Theorem f or reversible mapping can be applied to the Poincar´e mapping of thisnearly...
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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 ... existence of positive solutions for a second- order functional difference equation with four-point boundary conditions.1. IntroductionIn recent years, boundary value problems BVPs of differential...
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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 ... 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 ... 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...
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Tài liệu Đề tài " Isomonodromy transformations of linear systems of difference equations" pptx
... 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 systems of 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...
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Báo cáo hóa học: " Polynomial solutions of differential equations" ppt
... polynomial solutions of a class of linear differential equations of 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- order equations 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 123 Canonical forms of self-adjoint second- order equations with polynomialcoefficientsLet...
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báo cáo hóa học: " Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity" pdf
... follows from (1) which are appeared in the proof of Theorem 1.2. Then the proof of Theorem 1.3 is completed. □Proof of Theorem 1.4. From the proof of Theorem 1.1, we know that is coercivewhich ... non-autonomous second- order systems with linear nonlinearity. Nonlinear Anal. 60, 325–335 (2005)12. Wang, Z, Zhang, J: Periodic solutions of a class of second order non-autonomous Hamiltonian systems. Nonlinear ... completes the proof. □3 Proof of main resultsFor the sake of convenience, we will denote various positive constants as Ci, i =1,2,3, Now, we are ready to proof our main results.Proof of Theorem...
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Báo cáo hóa học: " Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations" potx
... second example, we will obtain thebound of the solutions of an integral equation.For the sake of proving the global existence of solutions of differential 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 of differential and integral equations, a lot of integral inequalities,...
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Báo cáo hóa học: " Research Article Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization" doc
... relationships between the second- order contingent derivative of a set-valued map and itsprofile map are obtained. By virtue of the second- order contingent derivatives of set-valued maps,some ... the second- order contingent derivative of a set-valued map and its profile map. In Section 4, by the second- order contingent derivative, we discuss the quantitative information on the behavior of ... by virtue of the higher order derivatives or epiderivatives introduced by the higherFixed Point Theory and Applications 3 order tangent sets. To the best of our knowledge, second- order c ontingent...
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báo cáo hóa học:" Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions" pptx
... problem for second order nonlinearsingular differential equations, ” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000.9 Z. Yang, “Positive solutions to a system of second- order nonlocal ... for Fourth -Order Singularp-Laplacian Differential Equations with IntegralBoundary ConditionsXingqiu Zhang1, 2and Yujun Cui31Department of Mathematics, Huazhong University of Science and ... akr2bkakHkt, sxsds.2.36By the proof of Lemma 2.3, xt is a solution of problem 2.35 ifandonlyifitisthefixed point of the following operator equation:xtAkϕ−1pBkFkxt....
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Báo cáo hóa học: " Research Article First-Order Singular and Discontinuous Differential Equations" docx
... Singular Differential Equations It is the goal of the present section to establish a theorem on existence of solutions for 1.1between a pair of well-ordered lower and upper solutions and in lack of ... solutions of first -order singular differential equations, ”Bulletin of the London Mathematical Society, vol. 40, no. 1, pp. 143–150, 2008.17 J. Chu and J. J. Nieto, “Recent results for second order ... SolutionsAnother modification of the concepts of lower and upper solutions concerns the possibility of allowing jumps in their graphs. Since the task of finding a pair of lower and upper solutionsis...
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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 quasilinear elliptic equations of the form (1)is the question of distinguishing classes of equations for ... the proof of an a priori estimate of the Hdlder norm IIulIc^(u) forsolutions of uniformly elliptic equations. V. The estimate of maxnl vul for equations with structuredescribed in terms of the...
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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
... ArticleMultiple Positive Solutions of a SingularEmden-Fowler Type Problem for Second- Order Impulsive Differential Systems Eun Kyoung Lee and Yong-Hoon LeeDepartment of Mathematics, Pusan National ... 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, ... Liu, L. 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...
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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 ... 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...
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