solving system of second order linear differential equations
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
... completed the estimate of the error bounds for asymptotic 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 ... second- order linear difference equations, ” Journal of
Computational and Applied Mathematics, vol. 41, no. 1-2, pp. 65–94, 1992.
3 R. Wong and H. Li, “Asymptotic expansions for second- order linear ... solutions to 1.2 is still open. The purpose of this and the next paper Error
bounds for asymptotic solutions of second- order linear difference equations II: the second
case is to estimate error bounds...
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Báo cáo hóa học: " Research Article Sturm-Picone Comparison Theorem of Second-Order Linear Equations on Time Scales" ppt
Ngày tải lên :
21/06/2014, 20:20
... theorem of solution 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 ... 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 sinh học: " Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian" ppt
Ngày tải lên :
21/06/2014, 16:20
... introduction of the basic theory of impulsive
differential equations, see Lakshmikantham et al. 1; for an overview of existing results and
of recent research areas of impulsive differential equations, ... olution
yt,t∈ J with property 3.17.
Proof. The proof is similar to that of Theorem 3. 2of 6.
Theorem 3.5. Assume that H
1
, H
2
, 3.1 of H
3
and 3.14 and 3.15 of H
4
hold. In
addition, ... problems,”
Journal of Mathematical Analysis and Applications, vol. 116, no. 2, pp. 415–426, 1986.
41 Z. Bai and H. Wang, “On positive solutions of some nonlinear fourth -order beam equations, ” Journal
of Mathematical...
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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
Ngày tải lên :
21/06/2014, 20:20
... Spectrum of Almost Periodic Solution of
Second- Order Neutral Delay Differential Equations
with Piecewise Constant of Argument
Li Wang and Chuanyi Zhang
Department of Mathematics, Harbin Institute of ... Dosly
The spectrum containment of almost periodic solution of second- order neutral delay differential
equations with piecewise constant of argument EPCA, for short of the form xtpxt − 1
qx2t ... 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,...
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galois theory of linear differential equations - m. van der put, m. singer
Ngày tải lên :
31/03/2014, 15:56
... translates into Z
L
=(r
a,b
)G
L
. A proof of Lemma 1.29 finishes
the proof of the theorem. ✷
Proof of lemma 1.29.
The proof is rather similar to the one of lemma 1.23. The only thing that we
have ... as a group of matrices
and has the structure of a linear algebraic group, that is, it is a group of invertible
matrices defined by the vanishing of a set of polynomials on the entries of these
matrices. ... O-submodules N
1
,N
2
of N with N = N
1
⊕N
2
and N
i
= F
i
for i =1, 2.
Proof. The proof is similar to the proof of Proposition 3.17. Let S
1
and S
2
be the set of eigenvalues of E acting on F
1
and...
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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
Ngày tải lên :
31/05/2014, 01:37
... questions of solvability of basic boundary value problems
for quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order, and
also to the investigation of differential ... with this, one of
the first questions of the general theory of boundary value problems for quasilinear
elliptic equations of the form (1)is the question of distinguishing classes of
equations for ... C,
PART I: EQUATIONS OF NONDIVER(iENCE TYPE
question of the validity of a priori estimates of the maximum moduli of the gradients
of solutions for quasilinear elliptic and parabolic equations is the...
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báo cáo hóa học:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient" ppt
Ngày tải lên :
21/06/2014, 11:20
... properties of Emden-Fowler
difference equations, ” Central European Journal of Mathematics
, vol. 7, no. 2, pp. 322–334, 2009.
13 P.
ˇ
Reh
´
ak, “Oscillatory properties of second order half -linear ... criteria for second order linear difference equations, ”
Fasciculi Mathematici, no. 31, pp. 71–89, 2001.
9 M. Cecchi, Z. Do
ˇ
sl
´
a, and M. Marini, “Positive decreasing solutions of quasi -linear difference
equations, ” ... sequences and second order difference equations, ”
Journal of Difference Equations and Applications, vol. 14, no. 1, pp. 17–30, 2008.
7 J. Jaro
ˇ
s and T. Kusano, “Self-adjoint differential equations...
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báo cáo hóa học:" Research Article Solutions and Green’s Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations" ppt
Ngày tải lên :
21/06/2014, 11:20
... and Green’s Functions for
Boundary Value Problems of Second- Order
Four-Point Functional Difference Equations
Yang Shujie and Shi Bao
Institute of Systems Science and Mathematics, Naval Aeronautical ... theory,
Deng and Shi 5 studied the existence and multiplicity of the boundary value problems to a
class of second- order functional difference equations
Lu
n
f
n, u
n1
,u
n
,u
n−1
1.1
with boundary ... differential systems,” Indian
Journal of Pure and Applied Mathematics, vol. 36, no. 12, pp. 685–705, 2005.
5 X. Deng and H. Shi, “On boundary value problems for second order nonlinear functional...
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báo cáo hóa học:" Research Article Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems" pdf
Ngày tải lên :
21/06/2014, 11:20
... Hu, and Y. Wu, “Positive solutions of two-point boundary value problems for systems
of nonlinear second- order singular and impulsive differential equations, ” Nonlinear Analysis: Theory,
Methods ... Hristova and D. D. Ba
˘
ınov, “Existence of periodic solutions of nonlinear systems of differential
equations with impulse effect,” Journal of Mathematical Analysis and Applications, vol. 125, no. 1, ... 3-4, pp. 307–
328, 2004.
4 B. Liu and J. Yu, “Existence of solution of m-point boundary value problems of second- order
differential systems with impulses,” Applied Mathematics and Computation,...
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Báo cáo sinh học: " Research Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations" potx
Ngày tải lên :
21/06/2014, 16:20
... Journal of Mathematical Analysis and Applications, vol. 326, no. 2, pp. 1161–1173,
2007.
9 J. Wu and Z. Wang, “Two periodic solutions of second- order neutral functional differential
equations, ” ... Journal of Mathematical Analysis and Applications, vol. 329, no. 1, pp. 677–689, 2007.
10 M. R. Zhang, “Periodic solutions of linear and quasilinear neutral functional-differential equations, ”
Journal ... and Lyapunov Stability of
Periodic Solutions for Generalized Higher -Order
Neutral Differential Equations
Jingli Ren,
1
Wing-Sum Cheung,
2
and Zhibo Cheng
1
1
Department of Mathematics, Zhengzhou...
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báo cáo hóa học:" Research Article Oscillation of Second-Order Mixed-Nonlinear Delay Dynamic Equations" pdf
Ngày tải lên :
21/06/2014, 18:20
... nonoscillation of forced second order dynamic
equations, ” Pacific Journal of Mathematics, vol. 230, no. 1, pp. 59–71, 2007.
12
M. Bohner and S. H. Saker, “Oscillation of second order nonlinear dynamic equations ... second- order nonlinear dynamic equations on time
scales,” Electronic Journal of Differential Equations, no. 145, pp. 1–8, 2006.
17 Q. Kong, “Interval criteria for oscillation of second- order linear ... for second- order forced dynamic equations with
mixed nonlinearities,” Advances in Difference Equations, vol. 2009, Article ID 938706, 20 pages, 2009.
8 D. R. Anderson, “Oscillation of second- order...
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Báo cáo hóa học: " Research Article Inequalities among Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions" pptx
Ngày tải lên :
21/06/2014, 20:20
... problems for second- order difference
equations. Existence of eigenvalues is proved, numbers of their eigenvalues are calculated,
and their relationships between the eigenvalues of second- order difference ... 18 Advances in Difference Equations
4 Y. Wang and Y. Shi, “Eigenvalues of second- order difference equations with periodic and antiperiodic
boundary conditions,” Journal of Mathematical Analysis ... vol. 8 of Mathematics in Science and
Engineering, Academic Press, New York, NY, USA, 1964.
2 Y. Shi and S. Chen, “Spectral theory of second- order vector difference equations, ” Journal of
Mathematical...
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