chapter 4 applications of first order differential equations to real world systems
Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
... Bull.Lond. Math. Soc. 43 , 1 64 1 74 (2011)2. Arino, O, Hadeler, KP, Hbid, ML: Existence of periodic solutions for delaydifferential equations with state dependent delay. J. Diff. Equ. 144 (2), 263–301 ... theory and applications. Hand-b ook of Differential Equations: Ordinary Differential Equations, vol. III.Elsevier/North-Holland, Amsterdam (2006), pp. 43 5– 545 Figure 1 Title Suppressed Due to Excessive ... 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, ...
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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- 242 X-2012-5Qi-Ming Zhang (zhqm20082008@sina.com)Xiaofei He (hexiaofei525@sina.com)ISSN ... (1.5), togetherwith (1 .4) , Lemmas 2.1 and 2.3, we have|x(c)|2≤(b − a)3 48 ba|x(t)|2dt≤(b − a)3 48 (b − a) 4 π 4 n−1ba|x(2n)(t)|2dt=(b − a)3 48 (b − a) 4 π 4 n−1ba|q(t)|2|x(t)|2dt. ... for a class of even -order differential equations Qi-Ming Zhang∗1and Xiaofei He21College of Science, Hunan University of Technology, Zhuzhou,Hunan 41 2000, P.R. China2College of Mathematics...
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báo cáo hóa học:" Research Article Nonoscillation of First-Order Dynamic Equations with Several Delays" pdf
... 211200100080060 040 02000.20 .4 0.60.81xyFigure 2: The graph of 7 iterates for the solutions of 4. 34 and 4. 36 illustrates the result of Theorem 4. 15,here xt >yt for all t ∈ 64, ∞N3.P1 ... delay dynamic equations of first order, ” Advances in Difference Equations, vol. 2008, Article ID 45 8687, 12 pages, 2008.10 H. A. Agwo, “On the oscillation of first order delay dynamic equations with ... graph of 30 iterates for the solutions of 4. 11 and 4. 13 illustrates the result of Theorem 4. 5,here yt >xt for all t ∈ 3√3, ∞3√N.Corollary 4. 8. Let x be a solution of 3.1,...
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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: 14 http://www.advancesindifferenceequations.com/content/2011/1/ 14 Page 14 of 17 RESEARCH Open AccessSome new results for BVPs of first- order nonlinearintegro -differential ... )ds]2+3y2+xy 240 10e−tsy(s)ds +y cos(2π t)360}≥ 2α(2x2+3y2−R 4 320−R3 240 −R360)=16x2+24y2−R 4 40−R330−R 4 5,forα =4. Clearly,minx∈R{16x2−|x|} = −1 64 ;minx∈R{24y2− ... nonlinear first order ordinary differential equations. Math Inequal Appl. 6, 47 7 48 5 (2003)23. Luo, ZG, Shen, JH, Nieto, JJ: Antiperiodic boundary value problem for first -order impulsive ordinary 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
... 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 ... fractional integrodifferential equations inBanach spaces. Nonlinear Anal 2010, 72 :45 87 -45 93.28. Goodrich ChS: Existence of a positive solution to a class of fractional differential equations. Appl ... fractional order. Nonlinear Anal Hybrid Syst 2010, 4: 1 34- 141 .31. Mophou GM: Existence and uniqueness of mild solutions to impulsive fractional differential equations. NonlinearAnal 2010, 72:16 04- 1615.32....
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a hierarchical classification of first-order
... given Muller automaton A to a corresponding network NAprovided with a type specification of its attractors A Hierarchical Classification of First- Order Recurrent Neural Networks 145 such that ... envisioned to be extended in several directions. First of all, it could be of interest to study the same kind of hierarchical classification A Hierarchical Classification of First- Order Recurrent ... partial function from Q ì A into Q called the transitionfunction, and T⊆P(Q) is a set of set of states called the table of the automaton.A finite Muller automaton is generally represented by...
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Chapter 4: Properties of Regular Languages
... representationStandard representation of a regular language is one of the followings:–Finite automaton–Regular expression–Regular grammar Theorem 4. 4The family of regular languages is closed ... 1, m ≥ 0} Example 4. 2Find intersection dfa of L1={a2nbm: n, m ≥ 0} and L2={a3nb2m: n, m ≥ 0}p1p0p2p3aaabbbL2p 4 q1 p1q0 p0q2 p 4 q1 p2q2 p3q0 ... Chapter 4: Properties of Regular LanguagesQuan Thanh Thoqttho@cse.hcmut.edu.vn Example 4. 6 (cont’d)q0q1q2aabbba, bq3aL1...
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Chapter 4 characteristics of field effect transistors
... Field-Effect Transistor Val de Loire Program p.57 CHAPTER 4: CHARACTERISTICS OF FIELD-EFFECT TRANSISTOR Table of Contents 4. 1. INTRODUCTION 58 4. 2. JFET CONSTRUCTION AND SYMBOLS 58 4. 3. JFET ... for the CHAPTER 4: Characteristics Field-Effect Transistor Val de Loire Program p.58 CHAPTER 4: CHARACTERISTICS OF FIELD-EFFECT TRANSISTOR 4. 1. INTRODUCTION The operation of the field-effect ... 4. 4. JFET BIAS LINE AND LOAD LINE 62 4. 5. MOSFET CONSTRUCTION AND SYMBOLS 63 4. 6. MOSFET TERMINAL CHARACTERISTICS 64 Table of Figures Fig. 4- 1 JFET Constructions and Symbols 59 Fig. 4- 2...
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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 41 0200, P.R. China2Department of Mathematics, Hunan University of Science ... 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 differ-ence equations. ... difference equations. Appl. Math.Comput. 161, 44 1 46 2 (2005)[11] Padhi, S, Pati, S, Srivastava, S: Multiple positive periodic solutions for nonlinearfirst order functional difference equations. ...
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Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales" pptx
... 1.2 .44 14 Advances in Dierence Equations 9 M. Bohner, B. Karpuz, andăO.ăOcalan, “Iterated oscillation criteria for delay dynamic equations of first order, ” Advances in Difference Equations, ... class of second -order Emden-Fowler delaydynamic equations on time scales,” Journal of Mathematical Analysis and Applications, vol. 3 34, no. 2,pp. 847 –858, 2007.13 Y. Sáahiner, Oscillation of ... solution of 1.1 is oscillatory; (2) if n is odd, then everybounded solution xt of 1.1 is either oscillatory or tends monotonically to zero together withxΔit1 ≤ i ≤ n − 1.Proof. Assume...
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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 singular boundary value problem of third -order differential equations, ” Mathematica Slovaca, vol. 60, no. 4, pp. 48 5 49 4, 2010. 4 Y. Sun, “Positive solutions for third -order ... “Existence of solutions for a class of third -order nonlinear boundary valueproblems,” Journal of Mathematical Analysis and Applications, vol. 2 94, no. 1, pp. 1 04 112, 20 04. 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. 41 3 42 5, 2006.12 Y. Sun, “Positive solutions of...
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báo cáo hóa học:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient" ppt
... limitlimkk∞jkpj∈−∞,1 4 ,3 .42 then 1.1 is nonoscillatory.Remark 3 .4. In 8 it was proved that, if−3 4 < lim infkk∞jkpj≤ lim supkk∞jkpj<1 4 ,3 .43 then 1.1 is nonoscillatory. ... properties of Emden-Fowlerdifference equations, ” Central European Journal of Mathematics, vol. 7, no. 2, pp. 322–3 34, 2009.13 P.ˇReh´ak, “Oscillatory properties of second order half-linear ... eventually of one sign. In this case, allnonoscillatory solutions of 1.1 are eventually monotone, together with their first difference,and therefore can be a priori classified according to their monotonicity...
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