system of second order differential equations mathematica
báo cáo hóa học:" Research Article Limit Properties of Solutions of Singular Second-Order Differential Equations" doc
Ngày tải lên :
21/06/2014, 20:20
... Article
Limit Properties of Solutions of Singular
Second- Order Differential Equations
Irena Rach
˚
unkov
´
a,
1
Svatoslav Stan
ˇ
ek,
1
Ewa Weinm
¨
uller,
2
and Michael Zenz
2
1
Department of Mathematical ... the
solvability of nonlinear singular equations subject to different types of boundary conditions.
In this section, we utilize Theorem 4.1 to show the existence of solutions for periodic
problems. The rest of ... values of the first derivative at the end points of
the interval of integration, t 0andt 1. According to the theory, it holds that u
0u
1
0. Therefore, we approximate the values of the...
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báo cáo hóa học:" Research Article Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations" doc
Ngày tải lên :
21/06/2014, 20:20
... Solutions of Singular Nonautonomous
Second- Order Differential Equations
Irena Rach
˚
unkov
´
aandJanTome
ˇ
cek
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science,
Palack
´
y ... Kofler, and E. B. Weinm
¨
uller, “Initial value problems for systems of ordinary first and
second order differential equations with a singularity of the first kind,” Analysis, vol. 21, no. 4, pp.
373–389, ... here we prove the existence of a homoclinic solution for f having
a linear behaviour near −∞. The proof is based on a full description of the set of all solutions
of problem 1.1, 1.10 for...
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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:10.1186/1029-242X-2012-5
Qi-Ming Zhang (zhqm20082008@sina.com)
Xiaofei He (hexiaofei525@sina.com)
ISSN ... 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 412000, P.R. China
2
College of Mathematics ... of Lyapunov. Am. J. Math. 73,
885–890 (1951)
[3] Cheng, SS: Lyapunov inequalities for differential and difference equations. Fasc. Math.
23, 25–41 (1991)
[4] He, Z: Existence of two solutions of...
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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
... 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 ... 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 ... ∪NRV
2
.
Proof . First we show the last part of the statement. Let {x, y}be a fundamental set of solutions
of 1.1,withy ∈NRV
1
, x ∈NRV
2
,andletz be an arbitrary solution of 1.1,with
z
k
>...
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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 ... 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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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
... equations of second order, ” Annals of
Mathematics, vol. 65, pp. 197–202, 1957.
6 R. Zhuang, “Sturm comparison theorem of solution for second order nonlinear differential
equations, ” Annals of ... differential equations of second order, ” Proceedings of
the American Mathematical Society, vol. 13, pp. 603–610, 1962.
4 W. Leighton, “Some elementary Sturm theory,” Journal of Differential Equations, ... 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...
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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 ... 2006.
9 R. Yuan, “On the spectrum of almost periodic solution of second order scalar functional differential
equations with piecewise constant argument,” Journal of Mathematical Analysis and Applications,...
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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 ... the proof of an a priori estimate of the Hdlder norm IIulIc^(u) for
solutions of uniformly elliptic equations.
V. The estimate of maxnl vul for equations with structure
described in terms of the...
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Báo cáo hóa học: " Solvability of boundary value problems with Riemann-Stieltjes Δ-integral conditions for second-order dynamic equations on time scales at resonance" pptx
Ngày tải lên :
20/06/2014, 22:20
... notion of time scales in order to unify the theory of continu-
ous and discrete calculus. The field of dynamical equations on time scales contains,
links and extends the classical theory of differential ... yklie@ynu.edu.
cn
Department of Mathematics,
Yunnan University Kunming,
Yunnan 650091, People’s Republic
of China
Abstract
In this paper, by making use of the coincidence degree theory of Mawhin, the
existence of the ... 2011:42
http://www.advancesindifferenceequations.com/content/2011/1/42
Page 7 of 18
RESEARC H Open Access
Solvability of boundary value problems with
Riemann-Stieltjes Δ-integral conditions for
second- order dynamic equations on time scales
at...
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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
... 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 with ... the mathematical modeling of systems and processes in the fields of ph ysics , chem-
istry, aerodynamics, electrodynamics of complex medium, polymer rheology, etc.
[14-17]. In fact, fractional -order ... more accurate than integer-
order models, i.e., there are more degrees of freedom in the fractional -order models. In
consequence, the subject of fractional differential equations is gaining much...
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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
... 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 ... 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 ... asymptotic solutions of second- order
linear differential equations, the method used in Wong and Li’s papers cannot give us way
to obtain error bounds of these asymptotic solutions. Only order estimations...
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báo cáo hóa học:" Research Article Exponential Stability of Two Coupled Second-Order Evolution Equations" pptx
Ngày tải lên :
21/06/2014, 11:20
... Article
Exponential Stability of Two Coupled
Second- Order Evolution Equations
Qian Wan and Ti-Jun Xiao
Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences,
Fudan ... properly cited.
By using the multiplier technique, we prove that the energy of a system of two coupled second
order evolution equations one is an integro-differential equation decays exponentially ... be applied to concrete partial differential equations.
1. Introduction
Of concern is the exponential stability of two coupled second- order evolution equations one
is an integro-differential equation...
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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 ... existence of positive solutions for a second- order
functional difference equation with four-point boundary conditions.
1. Introduction
In recent years, boundary value problems BVPs of differential...
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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 ... were recently extended to second- order dynamic equations in 6–10. Further results
on oscillatory and nonoscillatory behavior of the second order nonlinear dynamic equations
on time scales can...
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