system of differential equations first order
báo cáo hóa học: " On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point" pdf
... 2011:16http://www.boundaryvalueproblems.com/content/2011/1/16Page 5 of 11 RESEARC H Open AccessOn the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at ... uniqueness of the solutions are obtained.Keywords: systems of elliptic equations, degenerate elliptic equations, boundaryvalue problems, Dirichlet type problem1 Introduction and statement of the ... stasys.rutkauskas@mii.vu.ltInstitute of Mathematics andInformatics of Vilnius University,Akademijos str. 4, LT-08863, Vilnius,LithuaniaAbstractA system of elliptic equations which are irregularly...
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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, ... Advances in Difference Equations 2011, 2011:58http://www.advancesindifferenceequations.com/content/2011/1/58Page 3 of 12 RESEARCH Open AccessPolynomial solutions of differential equations H Azad*, ... 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...
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Báo cáo hóa học: " Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations" potx
... 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, we first recall some basic facts. ... present two examples 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, ... 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 Dynamics of a Rational System of Difference Equations in the Plane" pot
... some of thosesystems can be reduced to some Ricatti equations or to some previously studied second -order rational equations. Further, since, for some choices of the parameters, one obtains a system which ... argument θ of the complex root is a rational multiple of π, the system is globally periodic.4.4. Stability of Fixed PointsWe finish this section with the complete study of the stability of the fixed ... attention on three aspects of the dynamics of the system: the boundedness character and asymptotic behavior of its solutions, the existence of periodic orbits in particular, of prime period-two solutions,...
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báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
... Difference Equations 2011, 2011:14http://www.advancesindifferenceequations.com/content/2011/1/14Page 14 of 17 RESEARCH Open AccessSome new results for BVPs of first- order nonlinearintegro -differential ... the existence of solutions for first- order nonlinear integro -differential equations with boundary value conditions.Our methods to prove the existence of solutions involve new differential inequalitiesand ... for first order impulsive integro -differential equations of mixed type.J Math Anal Appl. 296,8–20 (2004). doi:10.1016/j.jmaa.2003.12.0478. Jankowski, T, Jankowski, R: On integro -differential equations...
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Báo cáo hóa học: " Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders" pot
... Trujillo JJ: Differential equations of fractional order: methods, results and problem. I Appl Anal 2001,78:153-192.6. Kilbas AA, Trujillo JJ: Differential equations of fractional order: methods, ... uniqueness of solutions for coupled systems of higher -order nonlinearfractional differential equations. Fixed Point Theory Appl 2010, 2010:1-17.30. Babakhani A: Positive solutions for system of nonlinear ... of author information isavailable at the end of the articleAbstractIn this article, we study the existence of positive solutions for a coupled system of nonlinear differential equ ations of...
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Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
... 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 ... compact set of fixedpoints in C(I), which are exactly the solutions of problem (4).Claim 2: Every solution x of (4) satisfies α ≤ x ≤ β on I and, therefore, itis a solution of (1) in [α, β]. First, ... [2–7] which deal with existence results for this kind of prob-lems. For the qualitative study of this type of problems we can cite thesurvey of Hartung et al. [8] and references therein.As main...
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Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc
... a class of even -order differential equations Journal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029-242X-2012-5Qi-Ming Zhang (zhqm20082008@sina.com)Xiaofei He (hexiaofei525@sina.com)ISSN ... for a class of even -order differential equations Qi-Ming Zhang∗1and Xiaofei He21College of Science, Hunan University of Technology, Zhuzhou,Hunan 412000, P.R. China2College of Mathematics ... of Lyapunov. Am. J. Math. 73,885–890 (1951)[3] Cheng, SS: Lyapunov inequalities for differential and difference equations. Fasc. Math.23, 25–41 (1991)[4] He, Z: Existence of two solutions of...
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Báo cáo hóa học: " Oscillation of higher-order quasi-linear neutral differential equations" doc
... tends to zero as t đ .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 ... 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. ... On the oscillation of odd order neutral differential equations. Fasc Math. 29, 167–183 (1999)21. Zhang, Q, Yan, J: Oscillation behavior of even order neutral differential equations with variable...
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báo cáo hóa học: " Weak solutions of functional differential inequalities with first-order partial derivatives" ppt
... infinite systems of differential functional equations and strongly coupled infinitesystems of first order partial differential equations. Rocky Mt J Math. 10, 237–246 (1980)Kamont Journal of Inequalities ... in the theory of first- order partial differential equations, including questions such as estimates of solutions of initial problems, estimates of domains of solutions, estimates of the difference ... Functional differential inequalities, Haar pyramid, Comparison the orems,Weak solutions of initial problems1 IntroductionTwo types of results on first- order partial differential or functional differential...
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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
... 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 with ... some nonlinear ordinary differential equations with advancedarguments. Nonlinear Anal 2003, 53:495-505.40. Yan JR: Oscillation of first- order impulsive differential equations with advanced ... Difference Equations 2011, 2011:2http://www.advancesindifferenceequations.com/content/2011/1/2Page 6 of 11 44. Wang G, Zhang L, Song G: Integral boundary value problems for first order integro-differential...
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Báo cáo hóa học: " Research Article On Efficient Method for System of Fractional Differential Equations" potx
... solutions of theinteger -order equations are found to follow as special cases of those of fractional -order equations. We consider the system of fractional -order equations of the formDαiyit ... kinds of nonlinear equations. The new homotopy perturbation method NHPM was applied to linearand nonlinear ODEs 17.In this paper, we construct the solution of system of fractional -order ... pYi,1−L−1i∞n0ai,nPnt.3.10Equating the coefficients of like powers of p, we get the following set of equations: coefficient of p0: Y0 L−1∞n0ai,nPnt,coefficient of p1: Y1 L−1ifi...
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Báo cáo hóa học: " Research Article Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order" ppt
... differential equations, ” Applicable Analysis, vol. 87, no. 7, pp. 851–863, 2008.7 V. D. Gejji, “Positive solutions of a system of non-autonomous fractional differential equations, ”Journal of Mathematical ... class of four-point nonlocal boundary valueproblem of nonlinear integrodifferential equations of fractional order by applying some fixedpoint theorems.On the other hand, impulsive differential equations ... Section 2.To the best of our knowledge, this is the first time in the literatures that a nonlocalboundary value problem of impulsive differential equations of fractional order is considered....
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báo cáo hóa học:" Research Article Nonoscillation of First-Order Dynamic Equations with Several Delays" pdf
... delay 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 with ... uniqueness of solutions to systems of delay dynamic equations on timescales,” http://arxiv.org/abs/1001.0737v3 .6 M. Bohner, “Some oscillation criteria for first order delay dynamic equations, ” ... ArticleNonoscillation of First- Order Dynamic Equations with Several DelaysElena Braverman1and Basáak Karpuz21Department of Mathematics and Statistics, University of Calgary, 2500 University...
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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
... and Lyapunov Stability of Periodic Solutions for Generalized Higher -Order Neutral Differential Equations Jingli Ren,1Wing-Sum Cheung,2and Zhibo Cheng11Department of Mathematics, Zhengzhou ... 1.3 into a system of first -order differential equations, and then by applyingMawhin’s continuation theory and some new inequalities, we obtain sufficient conditionsfor the existence of periodic ... kind of second order neutral functional differential equations, ” Applied Mathematics and Computation, vol. 190, no. 2, pp. 1394–1401, 2007.7 Q. Wang and B. Dai, “Three periodic solutions of nonlinear...
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