solving second order linear homogeneous differential equations
Báo cáo hóa học: " Research Article On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument" ppt
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21/06/2014, 20:20
... Difference Equations
Volume 2009, Article ID 143175, 14 pages
doi:10.1155/2009/143175
Research Article
On the Spectrum of Almost Periodic Solution of
Second- Order Neutral Delay Differential Equations
with ... 14 Advances in Difference Equations
12 R. Yuan, “On the spectrum of almost periodic solution of second- order differential equations with
piecewise constant argument,” Nonlinear Analysis: Theory, ... periodic 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...
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Báo cáo hóa học: " Research Article Recent Existence Results for Second-Order Singular Periodic Differential Equations" doc
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21/06/2014, 20:20
... Differential Equations,
vol. 232, no. 1, pp. 277–284, 2007.
28 P. J. Torres, “Existence and stability of periodic solutions for second- order semilinear differential
equations with a singular nonlinearity,” ... singularity,” Advanced Nonlinear Studies, vol. 7, no. 4, pp. 629–649, 2007.
24 J. Chu and M. Li, “Positive periodic solutions of Hill’s equations with singular nonlinear
perturbations,” Nonlinear Analysis: ... Progress in
Nonlinear Differential Equations and Their Applications, 10, Birkh
ă
auser, Boston, Mass, USA, 1993.
17 A. C. Lazer and S. Solimini, “On periodic solutions of nonlinear differential equations...
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Báo cáo hóa học: " Oscillation of higher-order quasi-linear neutral differential equations" doc
Ngày tải lên :
20/06/2014, 22:20
... second- order superlinear neutral differential equations. Math
Slovaca. (to appear)
12. Li, T, Han, Z, Zhang, C, Li, H: Oscillation criteria for second- order superlinear neutral differential equations. ... even -order neutral delay differential equations. Adv Differ Equ. 2010,1–9
(2010)
14. Li, T, Thandapani, E: Oscillation of solutions to odd -order nonlinear neutral functional differential equations. ... non -linear neutral 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...
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báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
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21/06/2014, 11:20
... solutions to second
order linear difference equations in the first case. For the second case, we leave it to the second
part of this paper: Error Bound for Asymptotic Solutions of Second- order Linear ... we
consider a nonlinear first -order difference equation.
2 Advances in Difference Equations
Unlike t he method used by Olver 4 to treat asymptotic solutions of second- order
linear differential equations, ... inhomogeneous second- order linear difference equation; its solution takes the
form of a particular solution added to an arbitrary linear combination of solutions to the
associated homogeneous linear...
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Báo cáo hóa học: " Research Article Sturm-Picone Comparison Theorem of Second-Order Linear Equations on Time Scales" ppt
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21/06/2014, 20:20
... for second order nonlinear differential
equations, ” Annals of Differential Equations, vol. 19, no. 3, pp. 480–486, 2003.
7 R K. Zhuang and H W. Wu, “Sturm comparison theorem of solution for second ... theorem of second- order differential equations see Section 1.
Remark 3.6. In the discrete case: μt ≡ 1. This result is the same as Sturm comparison theorem
of second- order difference equations ... of second- order linear equations on time
scales. We first establish Picone identity on time scales and obtain our main result by using it.
Also, our result unifies the existing ones of second- order...
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báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
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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 ... 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 inequalities
and ... following first -order
nonlinear integro -differential system with periodic boundary value conditions.
x
= f (t, x,(Kx)(t )), t ∈ [0 , 1]
;
x(0) = x(1);
(1:1)
and first -order integro-differential...
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Báo cáo hóa học: " Research Article Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with Mixed " pptx
Ngày tải lên :
21/06/2014, 05:20
... forced second- order mixed
type quasilinear delay differential equations, ” Electronic Journal of Differential Equations, p. No. 73, 9,
2010.
13 Y. G. Sun and F. W. Meng, “Oscillation of second- order ... for second- order forced dynamic equations with
mixed nonlinearities,” Advances in Difference Equations, vol. 2009, Article ID 938706, 20 pages, 2009.
11 C. Li and S. Chen, “Oscillation of second- order ... Difference Equations
8 J. Shao and F. Meng, “Oscillation theorems for second- order forced neutral nonlinear differential
equations with delayed argument,” International Journal of Differential Equations, ...
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báo cáo hóa học:" Research Article Comparison Theorems for the Third-Order Delay Trinomial Differential Equations" pptx
Ngày tải lên :
21/06/2014, 11:20
... third -order differential equations see 1–20.
Various techniques appeared for the investigation of such equations. Some of them 1, 19
make use of the methods developed for the second- order equations ... neutral
differential equations, ” Applied Mathematics and Computation, vol. 215, no. 12, pp. 4392–4399, 2010.
17 Y. V. Rogovchenko and F. Tuncay, “Oscillation criteria for second- order nonlinear differential
equations ... equations of third order, ”
Nonlinear Analysis: Theory, Methods & Applications, vol. 34, no. 3, pp. 391–403, 1998.
14 N. Parhi and S. Padhi, “Asymptotic behaviour of solutions of third order...
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báo cáo hóa học:" Oscillation criteria for second-order nonlinear neutral difference equations of mixed type docx
Ngày tải lên :
21/06/2014, 17:20
... will be made available soon.
Oscillation criteria for second- order nonlinear neutral difference equations of
mixed type
Advances in Difference Equations 2012, 2012:4 doi:10.1186/1687-1847-2012-4
Ethiraju ... established for the second order nonlinear
1
[9] Hardy, GH, Littlewood, JE, Polya, G: Inequalities, 2nd edn. Cambridge
Univ. Press, Cambridge (1998)
20
neutral difference equations of mixed type.
∆
2
(x
n
+ ... Differential Equations.
Clarendon Press, Oxford (1991)
[8] Jiang, J: Oscillation of second order nonlinear neutral delay difference
equations. Appl. Math. Comput. 146, 791–801 (2003)
19
Example 2. Consider...
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Báo cáo hoa học: " Research Article Existence of Nonoscillatory Solutions to Second-Order Neutral Delay Dynamic Equations on Time Scales" doc
Ngày tải lên :
21/06/2014, 20:20
... in Dynamic Equations on Time Scales,Birkh
ă
auser, Boston, Mass,
USA, 2003.
5 L. Erbe, “Oscillation results for second- order linear equations on a time scale,” Journal of Difference
Equations and ... “Oscillation of second order delay dynamic equations, ”
The Canadian Applied Mathematics Quarterly, vol. 13, no. 1, pp. 1–17, 2005.
9 B. G. Zhang and Z. Shanliang, “Oscillation of second- order nonlinear ... dynamic equations on time
scales,” Advances in Difference Equations, vol. 2007, Article ID 70730, 16 pages, 2007.
14 Z. Han, B. Shi, and S R. Sun, “Oscillation of second- order delay dynamic equations...
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Báo cáo hóa học: " Research Article Maximum Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations" potx
Ngày tải lên :
22/06/2014, 03:20
... Functional
Differential Equations, vol. 3 of Advanced Series in Mathematical Science and Engineering, World
Federation, Atlanta, Ga, USA, 1995.
5 N. V. Azbelev, “The zeros of the solutions of a second order linear ... Approximate
Methods for Solving Operator Equations, Nauka, Moscow, Russia, 1969.
18 L. V. Kantorovich, B. Z. Vulich, and A. G. Pinsker, Functional Analysis in Semi-Ordered Spaces,
GosTechIzdat, ... fulfilled. The space of solutions of this neutral homogeneous equation is infinitely
dimensional. Every linear functions x 1 − ct satisfy the homogeneous equation
x
t
− x
t
2
0,t∈
0,...
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báo cáo hóa học:" Research Article Limit Properties of Solutions of Singular Second-Order Differential Equations" doc
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21/06/2014, 20:20
... pages
doi:10.1155/2009/905769
Research Article
Limit Properties of Solutions of Singular
Second- Order Differential Equations
Irena Rach
˚
unkov
´
a,
1
Svatoslav Stan
ek,
1
Ewa Weinm
ă
uller,
2
and ... Let a
/
− 1. Note that 3.1 is linear and regular on 0,T. Since the functions u
1
h
t1
and u
2
h
tt
a1
are linearly independent solutions of the homogeneous equation u
t −
a/tu
t0on0,T, ... Theorems 4.1 and 4.2 constitute a useful tool when investigating the
solvability of nonlinear singular equations subject to different types of boundary conditions.
In this section, we utilize...
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báo cáo hóa học:" Research Article Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations" doc
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21/06/2014, 20:20
... pages
doi:10.1155/2009/959636
Research Article
Homoclinic Solutions of Singular Nonautonomous
Second- Order Differential Equations
Irena Rach
˚
unkov
´
aandJanTome
ˇ
cek
Department of Mathematical Analysis ... and
second order differential equations with a singularity of the first kind,” Analysis, vol. 21, no. 4, pp.
373–389, 2001.
7 D. Bonheure, J. M. Gomes, and L. Sanchez, “Positive solutions of a second- order ... 192–204, 2001.
11 I. Rach
˚
unkov
´
aandJ.Tome
ˇ
cek, “Singular nonlinear problem for ordinary differential equation of
the second- order on the half-line,” in Mathematical Models in Engineering,...
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Báo cáo hoa học: " Research Article On Connection between Second-Order Delay Differential Equations and Integrodifferential Equations with Delay" pdf
Ngày tải lên :
21/06/2014, 20:20
... Difference Equations
Volume 2010, Article ID 143298, 8 pages
doi:10.1155/2010/143298
Research Article
On Connection between Second- Order Delay
Differential Equations and Integrodifferential
Equations ... obtained by transforming second- order delay dierential equations
ăxtat xgt btxht 0 to first -order differential equations.
1. Introduction and Preliminaries
The second order delay dierential equation
ăx
t
... that a second order delay equation is reduced to one first -order integrodifferential delay
equation while in 2 a second- order equation is reduced to a system of a nonlinear inequality
and a linear...
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