system of first order differential equations solver

... (C) To establish the (differential) equations Analysis of the Model (A) To solve equations (B) To find the properties of solutions (C) If it is too difficult to solve the equations, try to approximate ... (C) To establish the (differential) equations Analysis of the Model (A) To solve equations (B) To find the properties of solutions (C) If it is too difficult to solve the equations, try to approximate ... Series and Differential Equations Nguyen Thieu Huy Hanoi University of Science and Technology Nguyen Thieu Huy (HUST) Infinite Series and Diff Eq 1/9 Exact equations 3.1 Definition A differential

Ngày tải lên: 23/04/2020, 08:00

... 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) ... inequalities for a class of even -order differential equations Qi-Ming Zhang∗1 and Xiaofei He2 College of Science, Hunan University of Technology, Zhuzhou, Hunan 412000, P.R China College of Mathematics ... generalizations of (1.2) in some literatures Especially, Lyapunov inequality has been generalized extensively to the higher -order linear equations and the linear Hamiltonian systems A thorough

Ngày tải lên: 20/06/2014, 21:20

... dynamic equations of first order, ” Advances in Difference Equations, vol 2008, Article ID 458687, 12 pages, 2008 10 H A Agwo, “On the oscillation of first order delay dynamic equations ... uniqueness of solutions to systems of delay dynamic equations on time scales,” http://arxiv.org/abs/1001.0737v3 6 M Bohner, “Some oscillation criteria for first order delay dynamic equations, ... Proof The proof is similar to that of Theorem 4.13 We give the following example as an application of Theorem... 600 800 1000 1200 Figure 2: The graph of 7 iterates for the solutions of

Ngày tải lên: 21/06/2014, 11:20

... STABILITY OF PERIODIC SOLUTIONS OF FIRST- ORDER DIFFERENCE EQUATIONS LYING BETWEEN LOWER AND UPPER SOLUTIONS ALBERTO CABADA, VICTORIA ... Introduction It is well known that one of the most important concepts in the qualitative theory of dif- ferential and difference equations is the stability of the solutions of the treated problems. Classical ... optimality of the obtained results. 2. Preliminaries This paper is devoted to study the stability, by using the method of lower and upper solutions, of the N-periodic solutions of the following first-order

Ngày tải lên: 23/06/2014, 00:20

... Equations 2011, 2011:14 http://www.advancesindifferenceequations.com/content/2011/1/14 RESEARCH Open Access Some new results for BVPs of first- order nonlinear integro -differential equations of ... -x(1) The authors of [20-24] consider this kind of “anti-periodic” conditions for differential equations or impulsive differential equations To the best of our knowledge it is the first article to ... existence of solutions for the following first- order nonlinear integro -differential system with periodic boundary value conditions x = f (t, x, (Kx)(t)), t ∈ [0, 1]; x(0) = x(1); (1:1) and first- order

Ngày tải lên: 21/06/2014, 02:20

... Limit Properties of Solutions of Singular Second -Order Differential Equations Irena Rach ˚ unkov ´ a, 1 Svatoslav Stan ˇ ek, 1 Ewa Weinm ¨ uller, 2 and Michael Zenz 2 1 Department of Mathematical ... no A100190703 of the Grant Agency of the Academy of Sciences of the Czech Republic References 1 J W Lee and D O’Regan, “Existence of solutions to some initial... Proof Let h ∈ Lp 0, ... solvability of nonlinear singular equations subject to different types of boundary conditions In this section, we utilize Theorem 4.1 to show the existence of solutions. .. existence of at

Ngày tải lên: 21/06/2014, 20:20

... functionaldifferential equations of third order, ” Bulletin of the Calcutta Mathematical Society, vol 86, no 3, pp 253–266, 1994 15 N Parhi and P Das, “On nonoscillation of third order differential equations, ” ... boundedness of the solutions of third -order nonlinear differential ¸ equations, ” Kuwait Journal of Science & Engineering, vol 32, no 1, pp 39–48, 2005 28 E Tunc, “On the convergence of solutions of certain ... of solutions of a class of third order differential equations, ” Acta Mathematica Hungarica, vol 54, no 1-2, pp 79–88, 1989 10 N Parhi, “Sufficient conditions for oscillation and nonoscillation of

Ngày tải lên: 22/06/2014, 02:20

... criterion for first order dynamic equations, ” to appear in Functional Differential Equations 10 Y Sahiner and I P Stavroulakis, “Oscillations of first order delay dynamic equations, ” Dynamic ¸ Systems and ... oscillation of all solutions of first -order delay dynamic equations on arbitrary time scales, hence combining and extending results for corresponding differential and difference equations Examples, some of ... criteria for first order delay dynamic equations, ” Far East Journal of Applied Mathematics, vol 18, no 3, pp 289–304, 2005 B G Zhang and X Deng, “Oscillation of delay differential equations on time

Ngày tải lên: 22/06/2014, 11:20

... Difference equations and systems of difference equations have many applications in bi- ology, economy, and other sciences. So there exist many papers concerning systems of difference equations (see ... positive real numbers. 2AdvancesinDifference Equations In [6–8], the authors studied the behavior of the p ositive solutions of the system of two Lyness difference equations x n+1 = by n + c x n−1 , y ... for systems of two nonlinear difference equations, ” Differential Equations and Dynamical Systems, vol 7, no 2, pp 181–196, 1999 [7] G Papaschinopoulos and C J Schinas, On the behavior of the

Ngày tải lên: 22/06/2014, 19:20

... possible to classify the fourth -order differential equations into two forms: fully order differential equations and non-fully fourth -order ones A fourth-fourth -order differential equation whose right-hand ... and its derivatives of all order (from first to third order) is called a fully fourth -order differential equation Otherwise, the equation is called a non-fully fourth -order differential equation ... problems for differential equations Among the differential equations, the nonlinear fourth -order differential equation has been of great interest recently as it is the mathematical model of many

Ngày tải lên: 01/04/2021, 19:17

... a class 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 ... existence of periodic solutions for first -order functional difference equations [8–12] Only a few article have been published on the same problem for higher -order functional difference equations ... and multiple positive periodic solutions of (1.3) Our aim of this article is to study the existence of periodic solutions for the higherorder difference equations (1.1) using the well-known Schauder’s

Ngày tải lên: 18/06/2014, 22:20

... Next we want to derive the decay rate of energy function for problem (1.1). By mul- tiplying the first equation of system (1.1) by u and the second equation of system (1.1) by v, integrating over ... http://www.boundaryvalueproblems.com/content/2011/1/22 Page 10 of 19 [...]... Said-Houari, B, Messaoudi, SA, Guesmia, A: General decay of solutions of a nonlinear system of viscoelastic wave equations Nonlinear ... Lapa, E: Decay rates of solutions of an anisotropic inhomogeneous n-dimensional viscoelastic equation... of a system of nonlinear viscoelastic wave equations with damping

Ngày tải lên: 21/06/2014, 00:20

... integration of nonlinear dynamic equations, ” Advances in Difference Equations, vol 2008, Article ID 739602, 17 pages, 2008 15 T S Hassan, “Oscillation of third order nonlinear delay dynamic equations ... theories of differential and of difference equations Many other interesting time scales exist, and they give rise to many applications see Not only the new theory of the so-called “dynamic equations? ?? ... Difference Equations 11 from which it follows that t ≤G u T G ut p τ Δτ ≤ G u T 2.53 P T The rest of the proof is similar to that of Theorem 2.8, and the details are omitted The proof is completed

Ngày tải lên: 21/06/2014, 05:20

... solution z of 1.1 is normalized regularly varying, with z ∈NRV 1  ∪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 ... values of the limits at infinity of themselves and of their first difference A classification of. .. for example, 9–12 for a complete treatment including more general equations The aim of ... of the American Mathematical Society, vol 41, pp 110–116, 1973 ˇ a 6 S Matucci and P Reh´ k, Regularly varying sequences and second order difference equations, ” Journal of Difference Equations

Ngày tải lên: 21/06/2014, 11:20

... economics The theory of impulsive differential equations has become an important area of investigation in the recent years and is much richer than the corresponding theory of differential equations For ... investigate the existence of minimal nonnegative solution for a class of second -order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times Consider ... The theory of impulsive differential equations describes processes which experience a sudden change of their state at certain moments Processes with such a character arise naturally and often, especially

Ngày tải lên: 21/06/2014, 11:20

... differential equations of second order, ” Annals of Mathematics, vol 65, pp 197–202, 1957 R Zhuang, “Sturm comparison theorem of solution for second order nonlinear differential equations, ” Annals of Differential ... comparison theorem of second -order differential equations see Section Remark 3.6 In the discrete case: μ t ≡ This result is the same as Sturm comparison theorem of second -order difference equations see ... theorem of second -order linear equations on time scales 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

Ngày tải lên: 21/06/2014, 20:20

... and Delay Higher -Order Differential Equations on Time Scales Liang-Gen Hu, 1 Ti-Jun Xiao, 2 and Jin Liang 3 1 Department of Mathematics, University of Science and Technology of China, Hefei 230026, ... existence of positive solutions. The purpose of this paper is to investigate further the singular BVP for delay higher- order dynamic equation 1.1. By the use of the fixed point theorem of cone ... value problems for delay higher -order dynamic equations on time scales. Theorems on the existence of positive solutions are obtained by utilizing the fixed point theorem of cone expansion and compression

Ngày tải lên: 21/06/2014, 20:20

... solutions of semilinear Duffing equations, Journal of Differential Equations 105 (1993), no 2, 364–409 [5] C Fabry and D Fayyad, Periodic solutions of second order differential equations ... class of equations of Li´nard’s type, Journal of Differential Equae tions 46 (1982), no 3, 356–378 [12] P N Savel’ev, Dissipativity of the generalized Li´nard equation, Differential Equations ... SOLUTIONS OF SECOND -ORDER LIÉNARD EQUATIONS WITH p-LAPLACIAN-LIKE OPERATORS YOUYU WANG AND WEIGAO GE Received 12 April 2005; Accepted 10 August 2005 The existence of periodic solutions for second-order

Ngày tải lên: 22/06/2014, 22:20

... behavior of a two dimensional linear fractional c c system of difference equations, ... and J F Selgrade, On a system of rational difference equations, c Journal of Difference Equations ... is a solution of (1.14), then lim n→∞ n    x n   =   λ i (A)   , i = 1, ,k, (1.17) where λ i (A) denotes one of the eigenvalues of the matrix A. 2.Proofofconjecture Proof of Conjecture ... H(x)suchthatW s loc is a graph of H. The rest of the proof is identical to the proof of [2, Proposition 3.2].  Theorem 2.6. System (1.1) has no prime period-two solution. Proof. Set T(x, y) =  a +

Ngày tải lên: 22/06/2014, 22:20

... IDE. Proof. Fortheproofofthetheoremwefirstreduce(2.6) to its normal form (2.3). Then we will show that (2.3) is of index-1 by verifying all the conditions of Definition 2.1.Letthe DAE (2.1) be of index-1. ... equations (DAEs) and partial differential-algebraic equations (PDAEs). Recently [1, 2, 6], a class of implicit difference equations, called index-1 IDEs has been investigated. The solvability of ... OF NONLINEAR IMPLICIT DIFFERENTIAL EQUATIONS PHAM KY ANH AND LE CONG LOI Received 16 February 2005; Revised 26 Sep tember 2005; Accepted 27 September 2005 This paper deals with some classes of

Ngày tải lên: 22/06/2014, 22:20