applications of second order differential equations to real world systems
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 ... useful tool when investigating 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 ... h
tending to zero, or equivalently, grids becoming finer.
We finally observe experimentally the order of convergence of the numerical method
collocation. Clearly, we do not expect very hight order to...
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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
... contributed to these interesting
2
Lyapunov-type inequalities for a class of
even -order differential equations
Qi-Ming Zhang
∗1
and Xiaofei He
2
1
College of Science, Hunan University of Technology, ... on [α, β], too. Then, by a similar
method to the proof of (2.3) together with Lemma 2.2, we can obtain (2.4) immediately.
For the other ordinary cases, i.e., a = 0, we only need to move the ... in Journal of Inequalities and Applications go to
http://www.journalofinequalitiesandapplications.com/authors/instructions/
For information about other SpringerOpen publications go to
http://www.springeropen.com
Journal...
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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 ... eventually of one sign. In this case, all
nonoscillatory solutions of 1.1 are eventually monotone, together with their first difference,
and therefore can be a priori classified according to their monotonicity...
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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 ... Difference Equations
4 Y. Wang and Y. Shi, “Eigenvalues of second- order difference equations with periodic and antiperiodic
boundary conditions,” Journal of Mathematical Analysis and Applications, ... 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 ... “Corrigendum to: “On the spectrum of almost periodic solution of
second order scalar functional differential equations with piecewise constant argument”,” Journal of
Mathematical Analysis and Applications, ... 0,
which leads to a contradiction. The claim follows.
14 Advances in Difference Equations
12 R. Yuan, “On the spectrum of almost periodic solution of second- order differential equations with
piecewise...
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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
Ngày tải lên :
31/05/2014, 01:37
... devoted to 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 ... when itis necessary to refer to a formula of
another chapter. For example, in Chapter 7 the notation (5.1.2) is used to refer to
formula (1.2) of Chapter 5. Reference to numbers of theorems and sections ... 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...
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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
... seems to be a peculiar feature of equa-
tions with deviated arguments, see [1] for an example with a second- order
equation. Therefore, we are obliged to distinguish between the concepts
of minimal ... in the sense of
Definition 1.
Title Suppressed Due to Excessive Length 9
One might be tempted to follow the standard ideas with lower and upper
solutions to define a lower solution of (1) as some ... kind of prob-
lems. For the qualitative study of this type of problems we can cite the
survey of Hartung et al. [8] and references therein.
As main improvements in this article with regard to previous...
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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
... 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 ... 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 ... continuous. The proof is completed.
Now, we are ready to apply the coincidence degree t heorem of Mawhin to give the
sufficient conditions for the existence of at least one solution to problem (1.1).
Theorem...
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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
... 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 ... found to be important mathema-
tical tools for the better understanding of several real world problems in physics,
mechanics, engineering, economics, etc. [37,38]. In fact, the theory of integer order ... existence and
multiplicity of solutions (or positive solutions) of three-point BVPs for nonlinear inte-
ger -order ordinary differential equations. Toidentifyafew,wereferthereaderto
[2-13] and the references...
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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
... Asymptotic Solutions of Second- order Linear Difference
Equation II: the second case.
In the rest of this paper, we would like to give an example to show how to use the
results of this paper to obtain ... 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 ... used in this paper is
similar to that of Olver to obtain error bounds to the Liouville-Green WKB asymptotic
expansion of solutions to second- order differential equations. It should be pointed...
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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
... is give to illustrate that the result obtained
can be applied to concrete partial differential equations.
1. Introduction
Of concern is the exponential stability of two coupled second- order evolution ... 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...
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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
... may transform our existence problem of positive solutions of BVP 3.1 into a fixed
point problem of operator 3.13.
Lemma 3.3. Consider that ΦK ⊂ K.
Proof. If t ∈ −τ, 0 and t T 1, ΦytαΦη ... 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...
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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
... oscillation
criteria 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 ... arguments,” to appear in Journal of Difference Equations and
Applications .
10 A. F. G
¨
uvenilir and A. Zafer, Second- order oscillation of forced functional differential equations with
oscillatory ... Difference Equations, vol. 2009, Article ID 938706, 20 pages, 2009.
8 D. R. Anderson, “Oscillation of second- order forced functional dynamic equations with oscillatory
potentials,” Journal of Difference...
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