surveying second and higher order differential equations
báo cáo hóa học:" Research Article Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales" pptx
Ngày tải lên :
21/06/2014, 20:20
... D R Anderson, “Solutions to second- order three-point problems on time scales,” Journal of Difference Equations and Applications, vol 8, no 8, pp 673–688, 2002 D R Anderson and I Y Karaca, Higher- order ... using Krasnosel’skii fixed point theorem Recently, Anderson and Karaca studied higher- order three-point boundary value problems on time scales and obtained criteria for the existence of positive ... 2004 14 J A Gatica, V Oliker, and P Waltman, “Singular nonlinear boundary value problems for secondorder ordinary differential equations, ” Journal of Differential Equations, vol 79, no 1, pp 62–78,...
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Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
Ngày tải lên :
20/06/2014, 20:20
... Remark 2, the lower solution α and the upper solution β satisfy, respectively, inequalities (7) and (8) and, conversely, if α and β satisfy (7) and (8) then they are lower and upper solutions in the ... Functional differential equations with state-dependent delays: theory and applications Handbook of Differential Equations: Ordinary Differential Equations, vol III Elsevier/North-Holland, Amsterdam (2006), ... all t ∈ I− and β (t) = m ≥ max y≤maxI β(t) f (y) for all t ∈ I0 (25) So we deduce from (24) and (25) that α and β are lower and upper solutions for problem (13) Rub´n Figueroa∗ and Rodrigo...
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báo cáo hóa học:" Research Article Limit Properties of Solutions of Singular Second-Order Differential Equations" doc
Ngày tải lên :
21/06/2014, 20:20
... k, and M Tvrdy, “Singularities and Laplacians in boundary value problems a e ˚ ´ for nonlinear ordinary differential equations, ” in Handbook of Differential Equations: Ordinary a Differential Equations, ... satisfies 3.29 for a ∈ −1, and a < −1, and 3.32 for a −1 We first note that, by 3.9 , for all a < 0, Therefore, c2 values, ⇐⇒ c2 lim u t u t→0 3.39 in both, 3.29 and 3.32 , and the result now follows ... Problems 15 for a.e t ∈ 0, T and all x1 , y1 , x2 , y2 ∈ K Then problem 5.1a and 5.1b has at most one solution Proof Let u1 and u2 be different solutions of problem 5.1a and 5.1b Since u1 , u2 ∈...
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báo cáo hóa học:" Research Article Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations" doc
Ngày tải lên :
21/06/2014, 20:20
... local maximum between the first and the second zero, then just one negative local minimum between the second and the third zero, and so on By 3.8 , 3.9 , 1.4 – 1.6 and 1.13 , these maxima are decreasing ... t < L for t ∈ a1 , b and consequently f u t f u t for t ∈ a1 , b By 4.23 and 2.26 , f u t < on a1 , b and thus p t u t and u t are negative on a1 , b So, u is positive and decreasing on a1 ... possibilities b < ∞ and b ∞ can occur Let b ∞ We write Let b < ∞ By Theorem 4.4 and Lemma 2.5, u b ∈ 0, L , u b limt → ∞ u t Using Lemmas 3.5 and 2.5 and Theorem 4.4, we u b limt → ∞ u t , u b and either...
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Báo cáo hóa học: "SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS" pptx
Ngày tải lên :
22/06/2014, 22:20
... Journal of Computational and Applied Mathematics 136 (2001), no 1-2, 189–197 [7] D Jiang and J Wei, Monotone method for first- and second- order periodic boundary value problems and periodic solutions ... differential equations, Nonlinear Analysis 50 (2002), no 7, 885–898 [8] D Jiang, P Weng, and X Li, Periodic boundary value problems for second order differential equations with delay and monotone ... problems for second order differential equations [4] with deviating arguments, Journal of Mathematical Analysis and Applications 312 (2005), no 2, 620–636 , Boundary value problems for first order differential...
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Báo cáo hóa học: "GENERALIZED QUASILINEARIZATION METHOD AND HIGHER ORDER OF CONVERGENCE FOR SECOND-ORDER BOUNDARY VALUE PROBLEMS" pdf
Ngày tải lên :
22/06/2014, 22:20
... uniformly and monotonically to the unique solution of (1.1), and the convergence is of order T G Melton and A S Vatsala Preliminaries In this section, we recall some well known theorems and corollaries ... nonincreasing and fu + gu < on Ω Then there exist monotone sequences {αn (t)} and {βn (t)}, n ≥ which converge uniformly and monotonically to the unique solution of (3.1) and the convergence is of order ... ≤ αn+1 ≤ βn+1 ≤ βn on J, where αn+1 and βn+1 are solutions of BVPs (3.6) and (3.7), respectively, with α = αn and β = βn The inequalities (3.2) and (3.4), and (3.15) imply −αn ≤ f t,αn + g t,αn...
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07 VERIFIEDHIGH ORDER INTEGRATIONOF DAES AND HIGHER ORDER ODES
Ngày tải lên :
12/01/2014, 21:46
... Ordinary Differential Equations and Differential- Algebraic Equations SIAM Berz, M (1999) Modern Map Methods in Particle Beam Physics Academic Press, San Diego Berz, M (2000) Higher order veried ... more general higher order ODEs 3.1 Example Earlier, we indicated that the presented method can also be used for the direct integration of higher order problems To illustrate this, and to show ... be open and assume that Denition Let we say that equals up to order if partial derivatives of orders up to agree at the origin If order , we denote that by For equals and all up to $...
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Báo cáo sinh học: " Periodic solutions for a class of higher order difference equations" potx
Ngày tải lên :
18/06/2014, 22:20
... solutions of second order nonlinear functional difference equations Archivum Math 43, 67–74 (2007) [14] Wang, W, Chen, X: Positive periodic solutions for higher order functional difference equations ... been published on the same problem for higher- order functional difference equations Recently, using coincidence degree theory, Liu [13] studied the second- order nonlinear functional difference equation ... of higher- order difference equations Huantao Zhu1 and Weibing Wang∗2 Hunan College of Information, Changsha, Hunan 410200, P.R China Department of Mathematics, Hunan University of Science and...
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Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc
Ngày tải lên :
20/06/2014, 21:20
... generalized extensively to the higher- order linear equations and the linear Hamiltonian systems A thorough literature review of continuous and discrete Lyapunov-type inequalities and their applications ... for certain higher- order differential equations Appl Math Comput 134(2–3), 307–317 (2003) [17] Cakmak, D: Lyapunov-type integral inequalities for certain higher order differential equations Appl ... For example, Yang [15,16] and Cakmak [17] have contributed to these interesting results In the recent article [18], He and Tang improved and generalized the above results and obtained the following...
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Báo cáo hóa học: " Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument" ppt
Ngày tải lên :
21/06/2014, 03:20
... value problem for second order differential equations with an advanced argument Nonlinear Anal 2006, 65:2013-2023 Jankowski T: Positive solutions for fourth -order differential equations with deviating ... Fractional Differential Equations Academic Press, San Diego; 1999 Kilbas AA, Srivastava HM, Trujillo JJ: Theory and Applications of Fractional Differential Equations In North-Holland Mathematics ... Publishers, Dordrecht 1999 Burton TA: Differential inequalities for integral and delay differential equations In Comparison Methods and Stability Theory Lecture Notes in Pure and Applied Mathematics Dekker,...
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Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales" pptx
Ngày tải lên :
21/06/2014, 05:20
... M Bohner and A Peterson, Advances in Dynamic Equations on Time Scales, Birkh¨ user, Boston, Mass, a USA, 2003 M Bohner and S H Saker, “Oscillation of second order nonlinear dynamic equations ... for second- order linear equations on a time scale,” Journal of Difference Equations and Applications, vol 8, no 11, pp 1061–1071, 2002 T S Hassan, “Oscillation criteria for half-linear dynamic equations ... and S H Saker, “Oscillation criteria for second- order nonlinear delay dynamic equations, ” Journal of Mathematical Analysis and Applications, vol 333, no 1, pp 505–522, 2007 11 Z Han, B Shi, and...
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Construction of the solutions of non-linear high order differential equations
Ngày tải lên :
08/04/2015, 15:36
... (Ọt T h e y fl,)f
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Array processing based on time frequency analysis and higher order statistics
Ngày tải lên :
11/09/2015, 14:29
... Transform FOS Fourth -Order Statistics xiii FMCW Frequency Modulated Continuous Wave HAF Higher- order Ambiguity Function HIM Higher- order Instantaneous Moment HO Higher- Order HOS Higher- Order Statistics ... devised and it is extended to mixed -order- statistics-based algorithm Simulation results are demonstrated and compared to an existing fourth -order (FO) algorithm and an existing second- order (SO) ... PRELIMINARIES 26 domain (see [10]) 2.1.6 Higher- order Ambiguity Function (HAF) The higher- order variant of AF is called higher- order ambiguity function (HAF) [16, 17], and its discrete-time implementation...
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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
Ngày tải lên :
21/06/2014, 16:20
... concentrated on lower -order neutral functional differential equations, while studies on higher- order neutral functional differential equations are rather infrequent, especially on higher- order p-Laplacian ... Shen and R Liang, “Periodic solutions for a kind of second order neutral functional differential equations, ” Applied Mathematics and Computation, vol 190, no 2, pp 1394–1401, 2007 Q Wang and B ... Analysis and Applications, vol 326, no 2, pp 1161–1173, 2007 J Wu and Z Wang, “Two periodic solutions of second- order neutral functional differential equations, ” Journal of Mathematical Analysis and...
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Báo cáo hoa học: " Research Article On Connection between Second-Order Delay Differential Equations and Integrodifferential Equations with Delay" pdf
Ngày tải lên :
21/06/2014, 20:20
... is that a second order delay equation is reduced to one first -order integrodifferential delay equation while in a second- order equation is reduced to a system of a nonlinear inequality and a linear ... Advances in Difference Equations One of the methods used to study 1.1 is transforming the second- order delay differential equation to a first -order differential or integrodifferential equations with delay ... Van Nostrand, Princeton, NJ, USA, 1962 L Berezansky and E Braverman, “Nonoscillation of a second order linear delay differential equation with a middle term,” Functional Differential Equations, ...
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Báo cáo hóa học: " Research Article On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations Zong-Xuan Chen and Shi-An Gao" pdf
Ngày tải lên :
22/06/2014, 18:20
... periodic second order linear differential equations, ” Proceedings of the Edinburgh Mathematical Society, vol 33, no 1, pp 143–158, 1990 [3] S B Bank and J K Langley, “Oscillation theorems for higher order ... k, d0 is some constant, ψ0 (ξ) is analytic and does not vanish in < |ξ | ≤ ∞, and ψ0 (∞) = 1, both u0 (ξ) and h0 (ξ) are entire functions, and h0 (ξ) and u0 (ξ) also satisfy the following: (a) ... constant, ψ(ζ) is analytic and does not vanish in < |ζ | ≤ ∞, and ψ(∞) = 1, both u(ζ) and h(ζ) are entire functions and have at most a pole at ζ = ∞, as Z.-X Chen and S.-A Gao 11 ζ → ∞, set W(ζ)...
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