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
Ngày tải lên :
20/06/2014, 20:20
... Bull.
Lond. Math. Soc. 43 , 1 64 1 74 (2011)
2. Arino, O, Hadeler, KP, Hbid, ML: Existence of periodic solutions for delay
differential 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 fixed
points 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, it
is a solution of (1) in [α, β]. First, ...
24
361
0
Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc
Ngày tải lên :
20/06/2014, 21:20
... a class of even -order differential equations
Journal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029- 242 X-2012-5
Qi-Ming Zhang (zhqm20082008@sina.com)
Xiaofei He (hexiaofei525@sina.com)
ISSN ... (1.5), together
with (1 .4) , Lemmas 2.1 and 2.3, we have
|x(c)|
2
≤
(b − a)
3
48
b
a
|x
(t)|
2
dt
≤
(b − a)
3
48
(b − a)
4
π
4
n−1
b
a
|x
(2n)
(t)|
2
dt
=
(b − a)
3
48
(b − a)
4
π
4
n−1
b
a
|q(t)|
2
|x(t)|
2
dt. ... for a class of
even -order differential equations
Qi-Ming Zhang
∗1
and Xiaofei He
2
1
College of Science, Hunan University of Technology, Zhuzhou,
Hunan 41 2000, P.R. China
2
College of Mathematics...
12
402
0
báo cáo hóa học:" Research Article Nonoscillation of First-Order Dynamic Equations with Several Delays" pdf
Ngày tải lên :
21/06/2014, 11:20
... 21
1200100080060 040 0200
0.2
0 .4
0.6
0.8
1
x
y
Figure 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, ∞
N
3
.
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,...
22
319
0
báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
Ngày tải lên :
21/06/2014, 02:20
... Difference Equations 2011, 2011: 14
http://www.advancesindifferenceequations.com/content/2011/1/ 14
Page 14 of 17
RESEARCH Open Access
Some new results for BVPs of first- order nonlinear
integro -differential ... )ds]
2
+3y
2
+
xy
240
1
0
e
−ts
y(s)ds +
y cos(2π t)
360
}
≥ 2α(2x
2
+3y
2
−
R
4
320
−
R
3
240
−
R
360
)
=16x
2
+24y
2
−
R
4
4
0
−
R
3
30
−
R
4
5
,forα =4.
Clearly,
min
x∈R
{16x
2
−|x|} = −
1
64
;
min
x∈R
{24y
2
− ... 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. ...
17
381
0
Báo cáo hóa học: " Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument" ppt
Ngày tải lên :
21/06/2014, 03:20
... 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 in
Banach 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. Nonlinear
Anal 2010, 72:16 04- 1615.
32....
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0
a hierarchical classification of first-order
Ngày tải lên :
28/04/2014, 10:06
... given Muller automaton A to a corresponding network N
A
provided 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 transition
function, 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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0
Chapter 4: Properties of Regular Languages
Ngày tải lên :
13/05/2014, 10:21
... representation
Standard representation of a regular
language is one of the followings:
–
Finite automaton
–
Regular expression
–
Regular grammar
Theorem 4. 4
The family of regular languages is closed ... 1, m ≥ 0}
Example 4. 2
Find intersection dfa of L
1
={a
2n
b
m
: n, m ≥
0} and L
2
={a
3n
b
2m
: n, m ≥ 0}
p
1
p
0
p
2
p
3
a
a
a
b
b
b
L
2
p
4
q
1
p
1
q
0
p
0
q
2
p
4
q
1
p
2
q
2
p
3
q
0
... Chapter 4: Properties of Regular
Languages
Quan Thanh Tho
qttho@cse.hcmut.edu.vn
Example 4. 6 (cont’d)
q
0
q
1
q
2
a
a
b
b
b
a, b
q
3
a
L
1
...
33
456
0
Chapter 4 characteristics of field effect transistors
Ngày tải lên :
18/05/2014, 18:57
... 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...
10
378
0
Báo cáo sinh học: " Periodic solutions for a class of higher order difference equations" potx
Ngày tải lên :
18/06/2014, 22:20
... class of
higher -order difference equations
Huantao Zhu
1
and Weibing Wang
∗2
1
Hunan College of Information, Changsha, Hunan 41 0200, P.R. China
2
Department 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 nonlinear
first order functional difference equations. ...
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0
Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions of Higher-Order Dynamic Equations on Time Scales" pptx
Ngày tải lên :
21/06/2014, 05:20
... 1.
2 .44
14 Advances in Dierence Equations
9 M. Bohner, B. Karpuz, and
ă
O.
ă
Ocalan, “Iterated oscillation criteria for delay dynamic equations of first
order, ” Advances in Difference Equations, ... class of second -order Emden-Fowler delay
dynamic 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 every
bounded solution xt of 1.1 is either oscillatory or tends monotonically to zero together with
x
Δ
i
t1 ≤ i ≤ n − 1.
Proof. Assume...
14
306
0
Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
Ngày tải lên :
21/06/2014, 05:20
... 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 value
problems,” 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...
10
305
0
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