applications of second order differential equations ppt

... sequences and second order difference equations, ” Journal of Difference Equations and Applications, vol. 14, no. 1, pp. 17–30, 2008. 7 J. Jaro ˇ s and T. Kusano, “Self-adjoint differential equations ... properties of Emden-Fowler difference equations, ” Central European Journal of Mathematics , vol. 7, no. 2, pp. 322–334, 2009. 13 P. ˇ Reh ´ ak, “Oscillatory properties of second order half-linear ... ∪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 >...

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... be applied to concrete partial differential equations. 1. Introduction Of concern is the exponential stability of two coupled second- order evolution equations one is an integro-differential equation ... properly cited. By using the multiplier technique, we prove that the energy of a system of two coupled second order evolution equations one is an integro-differential equation decays exponentially ... Article Exponential Stability of Two Coupled Second- Order Evolution Equations Qian Wan and Ti-Jun Xiao Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan...

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... 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 He (hexiaofei525@sina.com) ISSN ... for a class of even -order differential equations Qi-Ming Zhang ∗1 and Xiaofei He 2 1 College of Science, Hunan University of Technology, Zhuzhou, Hunan 412000, P.R. China 2 College of Mathematics ... below). For information about publishing your research in Journal of Inequalities and Applications go to http://www.journalofinequalitiesandapplications.com/authors/instructions/ For information about...

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... 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 ... 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 ... Difference Equations 12 R. Yuan, “On the spectrum of almost periodic solution of second- order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, ...

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... notion of time scales in order to unify the theory of continu- ous and discrete calculus. The field of dynamical equations on time scales contains, links and extends the classical theory of differential ... 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 ... 2011:42 http://www.advancesindifferenceequations.com/content/2011/1/42 Page 7 of 18 RESEARC H Open Access Solvability of boundary value problems with Riemann-Stieltjes Δ-integral conditions for second- order dynamic equations on time scales at...

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... theory and applications of integer order differential equations wit h deviat ed arguments, we refer the reader to the refer- ences [39-45]. As far as we know, fractional order differential equations ... more 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 ... fact, the theory of integer order dif- ferential equations with deviated arguments has found its extensive applications in rea- listic mathematical modelling of a wide variety of practical situations...

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... 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 and Mathematics, Naval Aeronautical ... theory, Deng and Shi 5 studied the existence and multiplicity of the boundary value problems to a class of second- order functional difference equations Lu n  f  n, u n1 ,u n ,u n−1  1.1 with boundary ... 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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... questions of solvability of basic boundary value problems for quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order, and also 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) for solutions of uniformly elliptic equations. V. The estimate of maxnl vul for equations with structure described in terms of the...

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... solutions for problem (1) with Λ = 0, and this does not depend on the choice of τ. Proof. Reasoning in the same way as in the proof of Proposition 1, we obtain that there exists m ≥ 0 such that α(t) ≤ ... a peculiar feature of equa- tions with deviated arguments, see [1] for an example with a second- order equation. Therefore, we are obliged to distinguish between the concepts of minimal solution ... solutions), unfortunately often identified in the literature on lower and upper solutions. First -order differential equations with state-dependent deviated argu- ments have received a lot of attention in...

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