system of first order differential equations examples
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:" 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 Bas¸ak Karpuz21Department of Mathematics and Statistics, University of Calgary, 2500 University...
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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 17RESEARCH 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 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 1144. Wang G, Zhang L, Song G: Integral boundary value problems for first order integro-differential...
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a hierarchical classification of first-order
... extended in several directions. First of all, it could be of interest to study the same kind of hierarchical classificationA Hierarchical Classification of First- Order Recurrent Neural Networks ... Hierarchical Classification of First- Order Recurrent Neural Networks 151hierarchy is actually a well-ordering. In fact, the RNN hierarchy consists of analternating succession of non-self-dual and ... the issue of the expressivepower of neural networks is approached from the point of view of the theory of automata on infinite words, and it is proved that first -order recurrent neural1More precisely,...
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Báo cáo sinh học: " Periodic solutions for a class of higher order difference equations" potx
... class of higher -order difference equations Huantao Zhu1and Weibing Wang∗21Hunan College of Information, Changsha, Hunan 410200, P.R. China2Department of Mathematics, Hunan University of Science ... existence of periodic solutions for first -order functional difference equations [8–12]. Only a fewarticle have been published on the same problem for higher -order functional difference equations. ... solutions of functional discrete systemsand population model. Adv. Differ. Equ. 2005, 369–380 (2005)[13] Liu, Y: Periodic solutions of second order nonlinear functional difference equations. Archivum...
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báo cáo hóa học: " Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping" ppt
... decay of solutions for a quaslinear system of viscoelastic equations. Nonlinear Anal. 71, 2257–2267(2009). doi:10.1016/j.na.2009.01.06022. Agre, K, Rammaha, MA: Systems of nonlinear wave equations ... p.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 ... ∇ut(t))+2(∇v(t), ∇vt(t))+2β for a.e. t ∈ [0, T].Multiplying the first equation of system (1.1) by u and the second equation of system (1.1) by v, integrating over Ω, using integration by parts...
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Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales" pptx
... integration of nonlineardynamic 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 ... class of second -order Emden-Fowler delaydynamic equations on time scales,” Journal of Mathematical Analysis and Applications, vol. 334, no. 2,pp. 847–858, 2007.13 Y. S¸ahiner, “Oscillation of ... Advances in Difference Equations 9 M. Bohner, B. Karpuz, and¨O.¨Ocalan, “Iterated oscillation criteria for delay dynamic equations of first order, ” Advances in Difference Equations, vol. 2008,...
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Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
... “Existence of solutions for a class of third -order nonlinear boundary valueproblems,” Journal of Mathematical Analysis and Applications, vol. 294, no. 1, pp. 104–112, 2004.14 D. Guo, Semi-Ordered ... solutions of nonlinear singular third -order two-point boundary value problem,”Journal of Mathematical Analysis and Applications, vol. 323, no. 1, pp. 413–425, 2006.12 Y. Sun, “Positive solutions of ... singular boundary value problem of third -order differential equations, ” Mathematica Slovaca, vol. 60, no. 4, pp. 485–494, 2010.4 Y. Sun, “Positive solutions for third -order three-point nonhomogeneous...
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báo cáo hóa học:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient" ppt
... ∪NRV2.Proof . First we show the last part of the statement. Let {x, y}be a fundamental set of solutions of 1.1,withy ∈NRV1, x ∈NRV2,andletz be an arbitrary solution of 1.1,withzk> ... sequences and second order difference equations, ”Journal of Difference Equations and Applications, vol. 14, no. 1, pp. 17–30, 2008.7 J. Jaroˇs and T. Kusano, “Self-adjoint differential equations and ... properties of Emden-Fowlerdifference equations, ” Central European Journal of Mathematics, vol. 7, no. 2, pp. 322–334, 2009.13 P.ˇReh´ak, “Oscillatory properties of second order half-linear...
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báo cáo hóa học:" Research Article Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval" pot
... economics. The theory of impulsive differential equations hasbecome an important area of investigation in the recent years and is much richer than thecorresponding theory of differential equations. For ... investigate the existence of minimal nonnegative solutionfor a class of second -order nonlinear impulsive differential equations on an infinite intervalwith an infinite number of impulsive times.Consider ... second- order impulsive differential equations, ” Journal of Computational and Applied Mathematics, vol. 223, no.1, pp. 438–448, 2009.24 J. Yan, “Existence of positive periodic solutions of impulsive...
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Báo cáo hóa học: " Research Article Inequalities among Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions" pptx
... problems for second -order difference equations. Existence of eigenvalues is proved, numbers of their eigenvalues are calculated,and their relationships between the eigenvalues of second -order difference ... paragraph of Section 2, ϕN−1λ is a polynomial of degree N − 2inλ, ϕNλ is a polynomial of degree N − 1inλ, ψN−1λ is a polynomial of degree N −1inλ,andψNλ is a polynomial of degree ... 2.918 Advances in Difference Equations 4 Y. Wang and Y. Shi, “Eigenvalues of second -order difference equations with periodic and antiperiodicboundary conditions,” Journal of Mathematical Analysis...
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