applications of second order differential equations in economics
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
... discontinuous for certain values of
the time variable t ∈ 0,T.Thisformoff is motivated by a variety of initial and boundary
value problems known from applications and having nonlinear, discontinuous ... Applications
Results derived in 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, ... analysis of more involved nonlinearities, where
typically, f has singular points also in u and u
. Many applications, compare 2–12, showing
these structural difficulties are our main motivation...
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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
... “Singular nonlinear problem for ordinary differential equation of
the second- order on the half-line,” in Mathematical Models in Engineering, Biology and Medicine:
International Conference on Boundary ... Koch, P. Koer, and E. B. Weinm
ă
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. ... Article
Homoclinic Solutions of Singular Nonautonomous
Second- Order Differential Equations
Irena Rach
˚
unkov
´
aandJanTome
ˇ
cek
Department of Mathematical Analysis and Applications of Mathematics,...
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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
... soon.
Lyapunov-type inequalities for 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 ... below).
For information about publishing your research in Journal of Inequalities and Applications go to
http://www.journalofinequalitiesandapplications.com/authors/instructions/
For information ... (2.11)
Since |x(c)| > 0, divided the last inequality of (2.11) by |x(c)|, we can obtain (2.10).
By a similar method in the proof of Theorem 1.1, applying Lemmas 2.1 and 2.3, we can
obtain 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
... k ≥ a
In this case, completely analyzed in 1, any positive solution y is either decreasing or
eventually increasing. We say that y is of class M
in the first case, of class M
−
in the second
one. ... difference tending to zero, have two possible asymptotic behaviors,
since they can be slowly varying or regularly varying with index 1 in case ii, or regularly
varying with two different indices in case ... solutions of 1.1 and D denote the set of all
positive dominant solutions of 1.1.FromTheorem 4.1, taking into account Theorem 3.1,
the following characterization of recessive and dominant solution...
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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
... 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 ... Section 2 gives some preliminaries including
existence and numbers of eigenvalues of the coupled boundary value problems, and some
properties of eigenvalues of a kind of separated boundary value ... discussions in the first paragraph of Section 2, ϕ
N−1
λ is a polynomial of
degree N − 2in , ϕ
N
λ is a polynomial of degree N − 1in , ψ
N−1
λ is a polynomial of
degree N − 1in ,andψ
N
λ...
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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
... 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 ... 1999.
Advances in Difference Equations 5
3. Main Results
In this section, we give and prove the main results of this paper.
First, we will show that the following second- order linear equation:
x
ΔΔ
t
... 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 ... ω. This brings more convenience to study the spectrum
containment of almost periodic solution of 1.1. Now, we are in the position to show the
Main Theorem.
The proof of Main Theorem
Since H
1
... periodic. In this paper, we investigate the existence,
uniqueness, and spectrum containment of almost periodic solutions of 1.1. T he main result
obtained in this paper is different from that given in...
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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
Ngày tải lên :
31/05/2014, 01:37
... SCHULENBERGER
Library of Congress Cataloging in Publication Data
lvanov, A. V.
Quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order.
(Proceedings of the Steklov Institute of ... satisfying (1.1) in SZ and coinciding with T on 852. While the admissible
structure of linear elliptic equations is determined mainly by the condition of
sufficient smoothness of the coefficients, in ... priori
estimate of maxnivul breaks down into two steps: 1) obtaining maxaalvul in terms
of maxsljul, and 2) obtaining an estimate of maxr 1vul in terms of maxanlvul and
maxalul. The estimates of maxaulvul...
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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
... 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 ... problems
do in the continuous case. For instance, in BVPs (1.1), let
g(s)=
k
i=1
a
i
(s t
i
),
where k 1isaninteger,a
i
ẻ [0, ∞), i = 1, , k,
{t
i
}
k
i=1
is a finite increasing
sequence of distinct ... Δ?Δ?-integral conditions,
resonance, time scales
1 Introduction
Hilger [1] introduced the notion of time scales in order to unify the theory of continu-
ous and discrete calculus. The field of...
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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
... inte-
ger -order ordinary differential equations. Toidentifyafew,wereferthereaderto
[2-13] and the references therein.
Fractional differential equations arise in many engineering and scientific disciplines
as ... 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 impor-
tance ... Three-point boundary value problem, Fractional differ-
ential equations, Guo-Krasnoselskii fixed point theorem, Cone
1 Introduction
The study of three-point BVPs for nonlinear integer -order ordinary...
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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 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 ... two cases of 3, respectively.
In the rest of this section, we introduce the main results of 3 in the case that k is
positive. In the next section, we give two lemmas on estimations of bounds ... 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...
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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
... partial differential equations.
1. Introduction
Of concern is the exponential stability of two coupled second- order evolution equations one
is an integro-differential equation in Hilbert space H
u
t
... and
reproduction in any medium, provided the original work is properly cited.
By using the multiplier technique, we prove that the energy of a system of two coupled second
order evolution equations ... β
2
a
T
S
√
Aut
2
dt
T
S
√
Avtβut
2
dt.
2.28
Proof. Taking the inner product of both sides of 1.2 with vt and integrating over S, T ,
we see
T
S
v
t
2
dt
T
S
v
t
,v
t
dt...
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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
... Methods of N onlinear Ordinary Differential Equations ,
Shandong Science and Technology Press, Jinan, China, 1995.
Boundary Value Problems 3
In this paper, we consider the following second- order ... 1.
4.4
Then solving the BVP 4.1 is equivalent to finding fixed points in K. Obviously Φ is
completely continuous and keeps the K invariant for λ ≥ 0.
Define
f
0
lim inf
φ
τ
→ 0
min
t∈1,T
f
t, ... functional
differential equations, ” Chinese Annals of Mathematics, vol. 23A, no. 6, pp. 1–10, 2001 Chinese.
2 Y. Guo and J. Tian, “Two positive solutions for second- order quasilinear differential...
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báo cáo hóa học:" Research Article Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval" pot
Ngày tải lên :
21/06/2014, 11:20
... 31 .In 31, Guo investigated the minimal nonnegative solution of the following
initial value problem for a second order nonlinear impulsive integrodifferential equation of
Volterra type on an in nite ... area of investigation in the recent years and is much richer than the
corresponding theory of differential equations. For an introduction of the basic theory of
impulsive differential equations in ... value problems for second- order nonlinear impulsive differential
equations on an in nite interval with an in nite number of impulsive times. All the existing
results obtained in previous papers...
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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
... 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 ... 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 ... 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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