linear differential equations solutions
galois theory of linear differential equations - m. van der put, m. singer
Ngày tải lên :
31/03/2014, 15:56
... of linear differential equations (which we shall refer to simply
as differential Galois theory) is the analogue for linear differential equations of
the classical Galois theory for polynomial equations. ... order
two equations gives an indication how this classification could be used for linear
differential equations in characteristic 0. A more or less obvious observation
is that these linear differential equations ... this book are discussions of the arithmetic theory of
linear differential equations as well as the Galois theory of nonlinear differential
equations. A few references are [161, 196, 198, 221, 222,...
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Tài liệu 02 Ordinary Linear Differential and Difference Equations docx
Ngày tải lên :
27/01/2014, 03:20
... 2
Ordinary Linear Differential
and Difference Equations
B.P. Lathi
California State University, Sacramento
2.1 Differential Equations
Classical Solution
ã
MethodofConvolution
2.2 Difference Equations
Initial ... Solution
ã
MethodofConvolution
References
2.1 Differential Equations
Afunctioncontainingvariablesandtheirderivativesiscalledadifferentialex pression,andanequation
involvingdifferentialexpressionsiscalledadifferentialequation. Adifferentialequationisanordinary
differential ... discussion of differential equations can be found in numerous texts on
the subject [1].
2.2 Difference Equations
Thedevelopmentofdifferenceequationsisparalleltothatofdifferentialequations. Weconsiderhere
only...
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differential equations with linear algebra nov 2009
Ngày tải lên :
11/06/2014, 07:16
... development of general solutions to systems of linear differential
equations or higher order linear differential equations.
Over the past decade or two, first-order differential equations have become
a ... solutions
to linear differential equations and systems of equations exemplify
important ideas in linear algebra, and how linear algebra often answers
key questions regarding differential equations.
ã ... handful of examples on linear
differential equations that foreshadow part of the role of linear algebra in the
field of differential equations. The goal of the chapter on linear algebra is to
introduce...
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Báo cáo sinh học: " Existence of solutions for perturbed abstract measure functional differential equations" pot
Ngày tải lên :
18/06/2014, 22:20
... our existence theorem of solutions.
1 Introduction
Abstract measure differential equations are more general than difference equations, differential equations,
and differential equations with impulses. ... solutions for abstract measure functional differential
equations.
There were some consideration on abstract measure delay differential equations [2] and perturbed abstract
measure differential equations ... versions will be made available soon.
Existence of solutions for perturbed abstract measure functional differential
equations
Advances in Difference Equations 2011, 2011:67 doi:10.1186/1687-1847-2011-67
Xiaojun...
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Báo cáo toán học: " Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations" docx
Ngày tải lên :
20/06/2014, 20:20
... soon.
Further results of the estimate of growth of entire solutions of some classes of
algebraic differential equations
Advances in Difference Equations 2012, 2012:6 doi:10.1186/1687-1847-2012-6
Oi ... solutions of algebraic differential equations. Ukrain
Mat Zh. 8, 254–261 (1956)
[5] Bank, S, Kaufman, R: On meromorphic solutions of first-order differential equations.
Comment. Math., Helv. 51, ... algebraic differential equations. Bull. Hong
Kong Math. Soc. 2(1), 159–164 (1998)
[8] Bergweiler, W: On a theorem of Gol’dberg concerning meromorphic solutions of
algebraic differential equations. Complex...
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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
... (10) does not have extremal solutions
in [α, β].
The previous example notwithstanding, existence of extremal solutions
for problem (1) between given lower and upper solutions can b e proven un-
der ... (11) has the extremal solutions in [α, β].
Proof. Theorem 1 guarantees that problem (11) has a nonempty set of
solutions between α and β. We will show that this set of solutions is, in fact,
a ... is true for maximal and greatest solutions.
Interestingly, we will show that problem (1) may have minimal (ma-
ximal) solutions between given lower and upper solutions and not have
the least...
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Báo cáo hóa học: " Polynomial solutions of differential equations" ppt
Ngày tải lên :
20/06/2014, 22:20
... Advances in Difference Equations 2011, 2011:58
http://www.advancesindifferenceequations.com/content/2011/1/58
Page 3 of 12
RESEARCH Open Access
Polynomial solutions of differential equations
H Azad
*
, ... Arabia
Abstract
A new approach for investigating polynomial solutions of differential equations is
proposed. It is based on elementary linear algebra. Any differential operator of the
form
L(y)=
k=N
k=0
a
k
(x)y
(k)
, ... polynomial solutions of a class of linear differential equations of the second order. Bull A M S. 36,
77–84 (1930). doi:10.1090/S0002-9904-1930-04888-0
Azad et al. Advances in Difference 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. ... 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. Electron ... higher-order half -linear neutral differential equations. Demonstratio Math. (to
appear)
17. Thandapani, E, Li, T: On the oscillation of third-order quasi -linear neutral functional 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
Ngày tải lên :
21/06/2014, 03:20
... problem for non -linear differential equations
of fractional order. Nonlinear Anal 2011, 74:792-804.
34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with ... models to nonlinear
differential equations. Appl Math Comput 2007, 187:79-88.
27. Balachandran K, Trujillo JJ: The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations ... Walter W: On some nonlinear ordinary differential equations with advanced
arguments. Nonlinear Anal 2003, 53:495-505.
40. Yan JR: Oscillation of first-order impulsive differential equations with advanced...
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Báo cáo hóa học: " Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space" docx
Ngày tải lên :
21/06/2014, 03:20
... hyperbolic
differential equations. Electron J Differential Equations 2009, 111:1-14.
19. Da Prato G, Tudor C: Periodic and almost periodic solutions for semilinear stochastic evolution equations. ... periodic solutions of neutral functional differential equations. Comput Math Appl
2008, 55:2593-2601.
6. Diagana T, N’Guérékata GM: Almost automorphic solutions to semilinear evolution equations. ... applications. Nonlinear Anal TMA 2010, 73:2644-2650.
10. Ding H-S, Liang J, Xiao T-J: Almost automorphic solutions to nonautonomous semilinear evolution equations in
Banach spaces. Nonlinear Anal...
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Báo cáo hóa học: " Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders" pot
Ngày tải lên :
21/06/2014, 03:20
... positive solutions for boundary value problems of nonlinear
fractional differential equations. Commun Nonlinear Sci Numer Simul 2011, 16:2086-2097.
20. Yu Y, Jiang D: Multiple Positive Solutions ... system of nonlinear fractional differential
equations. Appl Math Comput 2004, 150:611-621.
25. Su X: Boundary value problem for a coupled system of nonlinear fractional differential equations. ... system of nonlinear
fractional differential equations. Int J Differ Equ 2010, 2010:1-12.
28. Ahmad B, Nieto JJ: Existence results for a coupled system of nonlinear fractional differential equations...
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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
Ngày tải lên :
21/06/2014, 11:20
... 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, ... 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 difference ... in Difference Equations
Volume 2010, Article ID 594783, 19 pages
doi:10.1155/2010/594783
Research Article
Error Bounds for Asymptotic Solutions of
Second-Order Linear Difference Equations II:
The...
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