application of second order differential equation ppt

Ngày tải lên: 13/08/2014, 16:20

... equicontinuity of ER, and it completes the proof of the discreteness of the spectrum of L0 The derivation of the asymptotic formula for eigenvalue distribution of L0 Suppose that the eigenvalues of A are ... and modification of the initial version of this study Author details Department of Differential Equation, Institute of Mathematics and Mechanics-Azerbaijan National Academy of Science, 9, F Agayev ... beginning with some k, Equation 2.6 has exactly one positive root corresponding to the imaginary root of Equation 2.5 Now, find the asymptotic of the imaginary roots of Equation 2.5 For z = iy...

Ngày tải lên: 21/06/2014, 02:20

... “Existence of solutions for a class of third -order nonlinear boundary value problems,” Journal of Mathematical Analysis and Applications, vol 294, no 1, pp 104–112, 2004 14 D Guo, Semi-Ordered Method ... 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 ... Gregus, “Third order linear Differential equations,” in Mathematics and Its Applications, Reidel, Dordrecht, the Netherlands, 1987 L.-J Guo, J.-P Sun, and Y.-H Zhao, “Existence of positive solutions...

Ngày tải lên: 21/06/2014, 05:20

... “On the spectrum of almost periodic solution of second order scalar functional differential equations with piecewise constant argument”,” Journal of Mathematical Analysis and Applications, vol ... Difference Equations 12 R Yuan, “On the spectrum of almost periodic solution of second- order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, ... differential equations and almost periodic flows,” Journal of Differential Equations, vol 5, no 1, pp 167–181, 1969 18 R Yuan, “Pseudo-almost periodic solutions of second- order neutral delay differential equations...

Ngày tải lên: 21/06/2014, 20:20

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Ngày tải lên: 20/06/2014, 22:20

... Proceedings of the American Mathematical Society, vol 41, pp 110–116, 1973 ˇ a S Matucci and P Reh´ k, “Regularly varying sequences and second order difference equations,” Journal of Difference Equations ... Nonoscillation of 1.1 can be characterized in terms of solvability of a Riccati difference equation; the methods based on this relation are referred to as the Riccati technique: equation 1.1 is ... NRV ∪ NRV Proof First we show the last part of the statement Let {x, y} be a fundamental set of solutions of 1.1 , with y ∈ NRV , x ∈ NRV , and let z be an arbitrary solution of 1.1 , with...

Ngày tải lên: 21/06/2014, 11:20

... the proofs of the above lemmas, using Young’s inequality and noting that T S we prove the conclusion t k s ds u t S0 dt k s ds T S u t dt, 2.33 Advances in Difference Equations 11 Proof of Theorem ... evolution equations with memory,” Journal of Functional Analysis, vol 254, no 5, pp 1342–1372, 2008 C M Dafermos, “An abstract Volterra equation with applications to linear viscoelasticity,” Journal of ... Advances in Difference Equations where δ3 μ, and for ε2 > T β ε2 v t , w t dt S T S v t β2 2aε2 dt T S u t 2.27 dt The other items on the right of 2.25 can be dealt with as in the proof of Lemma 2.2 Hence,...

Ngày tải lên: 21/06/2014, 11:20

... xt an element of Cτ defined by xt k x t k , k ∈ −τ, Boundary Value Problems In this paper, we consider the following second- order four-point BVP of a nonlinear functional difference equation: −Δ2 ... T −x η , T 1−η 2.12 which is a contradiction to the convexity of x t Next, we consider the existence of the Green’s function of equation −Δ2 u t − u u T f t , 2.13 αu η , βu ξ We always assume ... ≤ s ≤ T ⎪ ⎪ ⎪ ⎩ 2.15 Proof Consider the second- order two-point BVP −Δ2 u t − f t, u u T t ∈ 1, T , 2.16 0, Boundary Value Problems It is easy to find that the solution of BVP 2.16 is given by...

Ngày tải lên: 21/06/2014, 11:20

... in Difference Equations Y Wang and Y Shi, “Eigenvalues of second- order difference equations with periodic and antiperiodic boundary conditions,” Journal of Mathematical Analysis and Applications, ... Problems, vol of Mathematics in Science and Engineering, Academic Press, New York, NY, USA, 1964 Y Shi and S Chen, “Spectral theory of second- order vector difference equations,” Journal of Mathematical ... which proves the first conclusion ¨ The second conclusion can be shown similarly Hence, the proof is complete Finally, we turn to the proof of Theorem 3.1 Proof of Theorem 3.1 By Propositions 3.3–3.8,...

Ngày tải lên: 21/06/2014, 20:20

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Ngày tải lên: 14/10/2015, 08:45

... shown below: Page of Program: Page of Page of Conclusion: 1) Follow the steps describe above to tune the PID controller 2) Find the values of KP, TI, TD 3) What is the effect of changing the PID ... Page of Tuning of a PID controller using Ziegler-Nichols Method LAB Objective: 1) To demonstrate the use of PID controller using LabVIEW 2) Finding the values of KP and TI and TD ... closed loop response speed even further Conceptually the effect of the derivative term is to feed information on the rate of change of the measured variable into the controller action The most important...

Ngày tải lên: 27/02/2014, 03:20

... attempt to cover some of the important facets of mobile communications design We start of with five chapters covering various aspects of the design of the commu- 10 The Application of Programmable DSPs ... devices off 38 The Application of Programmable DSPs in Mobile Communications Bit stream management: in a multimedia system, a key requirement is the transfer of a large amount of data State -of- the-art ... collection of fashionable accessories; the accessories, of the size and The Application of Programmable DSPs in Mobile Communications Figure 1.4 Personal Mobile Gateway TM (IXI Mobile Inc.) weight of...

Ngày tải lên: 06/03/2014, 12:20