solution of differential equation first order
Báo cáo hóa học: " Positive periodic solution of higher-order functional difference equation" ppt
Ngày tải lên :
20/06/2014, 22:20
... Most of
these discrete mathematical models are first- order functional difference equations. Rela-
tively, few articles focused on the existence of positive periodic solutions of higher -order
functional ... Difference Equations 2011, 2011:56
http://www.advancesindifferenceequations.com/content/2011/1/56
Page 8 of 8
RESEARC H Open Access
Positive periodic solution of higher -order
functional difference equation
Mei-Lan ... k, , m ẻ N where N
denotes the set of positive integers.
The purpose of this article is to consider the existence of positive periodic solution
of higher -order functional differen ce equatio...
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báo cáo hóa học: " Weak solutions of functional differential inequalities with first-order partial derivatives" ppt
Ngày tải lên :
21/06/2014, 02:20
... of first- order partial differential equations,
including questions such as estimates of solutions of initial problems, estimates of
domains of solutions, estimates of the difference between solutions ... infinite systems of differential functional equations and strongly coupled infinite
systems of first order partial differential equations. Rocky Mt J Math. 10, 237–246 (1980)
Kamont Journal of Inequalities ... c].
Proof The existence and uniqueness of the solution to (30) follows from classical the-
orems on Carathéodory solutions of ordinary differential equations. We conclude from
Kamont Journal of Inequalities...
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báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
Ngày tải lên :
21/06/2014, 02:20
... new results for BVPs of first- order nonlinear
integro -differential equations of volterra type
Yepeng Xing
*
and Yi Fu
* Correspondence: ypxing-
jason@hotmail.com
Department of Mathematics,
Shanghai ... University,
200234, People’s Republic of China
Abstract
In this work we present some new results concerning the existence of solutions for
first- order nonlinear integro -differential equations with boundary ... potential solutions of
x = λTx, λ ∈
[
0, 1
],
(3:14)
are bounded a priori, with the bound being independent of l. With this in mind, let
x be a solution of (3.14). Note that x is also a solution of...
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Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
Ngày tải lên :
21/06/2014, 05:20
... “Existence of solutions for a class of third -order nonlinear boundary value
problems,” Journal of Mathematical Analysis and Applications, vol. 294, no. 1, pp. 104–112, 2004.
14 D. Guo, Semi-Ordered ... problem,”
Journal of Mathematical Analysis and Applications, vol. 323, no. 1, pp. 413–425, 2006.
12 Y. Sun, “Positive solutions of singular third -order three-point boundary value problem,” Journal of
Mathematical ... singular boundary value problem of third -order
differential equations,” Mathematica Slovaca, vol. 60, no. 4, pp. 485–494, 2010.
4 Y. Sun, “Positive solutions for third -order three-point nonhomogeneous...
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Báo cáo hóa học: " Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions" potx
Ngày tải lên :
21/06/2014, 05:20
... Difference Equations 13
6. Conclusions
In this paper, by using the fixed point theorem of cone, we have investigated the existence
of positive solutions for a class of nonlinear fractional differential equations ... preliminaries for discussing the existence of positive solutions
of boundary value problem 1.5.
Advances in Difference Equations 5
Therefore, the unique solution of BVP 2.1 is
x
t
−
1
Γ
α
t
0
t ... and E. Mboumi, “Positive solutions of a boundary value problem for a nonlinear
fractional differential equation, ” Electronic Journal of Qualitative Theory of Differential Equations,no.3,
pp. 1–11,...
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Báo cáo hóa học: " Research Article Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation" potx
Ngày tải lên :
21/06/2014, 07:20
... existence of maximal and minimal solutions for 1.2.
Definition 4.1. Let mt be a solution of 1.2 in 0, 1, then mt is said to be a maximal solution
of 1.2, if for every solution ut of 1.2 ... fractional
differential equations have been of great interest, and there have been many results
on existence and uniqueness of the solution of boundary value problems for fractional
differential equations, ... Journal of Differential Equations , vol. 36, pp. 1–12, 2006.
8 Z. B. Bai and H. S. L
ă
u, Positive solutions for boundary value problem of nonlinear fractional
differential equation, ” Journal of Mathematical...
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báo cáo hóa học:" Research Article Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation" doc
Ngày tải lên :
21/06/2014, 10:20
... in order to approximate the solution of
the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach,
a sequence of functions which approximate the solution of ... estimate the rate of convergence of the sequence of
projections. For this purpose, consider the dense subset {t
i
}
i≥1
of distinct points in 0, 1 and
let T
n
be the set {t
1
, ,t
n
} ordered in an ... used in order to establish the fact that the sequence defined in
Theorem 3.1 approximates the solution of the nonlinear Volterra integro-differential equation,
as well as giving an upper bond of the...
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Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf
Ngày tải lên :
19/02/2014, 22:20
... thus
enhancing the order of strong convergence from γ =0.5toγ =1.0. Nonethe-
less, the order of weak convergence of the Milstein scheme equals β =1.0,
which is not an improvement over the order of weak ... collection of events, sigma-algebra
A
filtration
E(X) expectation of X
E(X |A) conditional expectation of X under A
P (A) probability of A
P (A |B) probability of A conditioned on B
∈ element of
∈ ... approxi-
mation of continuous solutions of SDEs. The discrete time approximation of
SDEs with jumps represents the focus of the monograph. The reader learns
about powerful numerical methods for the solution...
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A Hierarchical Classification of First-OrderRecurrent Neural Networks a10
Ngày tải lên :
28/04/2014, 09:49
... β>α.
We now come up to the equivalence of the expressive power of recurrent
neural networks and Muller automaton. First of all, we prove that any first-
order recurrent neural network can be simulated ... specification of its
attr actors. Then there exists a Muller automaton A
N
such that L(N )=L(A
N
).
A Hierarchical Classification of First- Order Recurrent Neural Networks 143
class of rational-weighted ... obtained hierarchical classification of neural net-
works consists of a decidable pre-well ordering of width 2 and height ω
ω
,anda
decidability procedure of this hierarchy is provided. Notably,...
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A Hierarchical Classification of First-OrderRecurrent Neural Networks cs12
Ngày tải lên :
28/04/2014, 09:49
... Wadge hierarchies of the class of all Σ
1
1
-sets.
1
The Wadge hierarchy of a given class of ω-languages corresponds to the collection of all ω-languages of this class ordered by the Wadge reduction ... 2
−k
)0
ω
produces an output of the form 0
∗
r((p
b
−1
(k)
, q
b
−1
(k)
))0
ω
.
Proof. A straightforward generalization of the proof of Lemma 2.
The next result now shows that any Σ
1
1
-set of {0, 1}
ω
can ... complexity of ω-languages [32]. Indeed, the Wadge hierarchy provides an extensive refinement of the Borel
hierarchy, and hence permits a closer analysis of the topological complexity of classes of ω-languages....
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a hierarchical classification of first-order
Ngày tải lên :
28/04/2014, 10:06
... extended in several directions. First of
all, it could be of interest to study the same kind of hierarchical classification
A Hierarchical Classification of First- Order Recurrent Neural Networks ... Hierarchical Classification of First- Order Recurrent Neural Networks 151
hierarchy is actually a well-ordering. In fact, the RNN hierarchy consists of an
alternating succession of non-self-dual and ... the issue of the expressive
power of neural networks is approached from the point of view of the theory
of automata on infinite words, and it is proved that first -order recurrent neural
1
More precisely,...
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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
... compact set of fixed
points in C(I), which are exactly the solutions of problem (4).
Claim 2: Every solution x of (4) satisfies α ≤ x ≤ β on I and, therefore, it
is a solution of (1) in [α, β]. First, ... prove that all solutions x of (4) obey x ≤ β on I.
Claim
3
: The set of solutions of problem (1) in
[
α, β
]
has maximal and
minimal elements. The set
S = {x ∈ C(I) : x is a solution of (1) , x ∈ ... arbitrary solution of problem (10) and
let us prove that ˆx is neither the least nor the greatest solution of (10) in
[α, β]. First, if ˆx changes sign in I
0
then ˆx cannot be an extremal solution
of...
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báo cáo hóa học: " Existence and multiplicity of positive solutions for a nonlocal differential equation" docx
Ngày tải lên :
21/06/2014, 02:20
... 2011:5
http://www.boundaryvalueproblems.com/content/2011/1/5
Page 7 of 11
Then, Equation 12 holds.
Therefore, by Equations 10 and 12 and the first part of Lemma 2.3, T has a fixed
point in
P ∩
(
¯
2
\
1
)
, which is a positive solution of Equation ... doi:10.1016/S0362-546X(01)00478-3
3. Kang, P, Wei, Z: Three positive solutions of singular nonlocal boundary value problems for systems of nonlinear
second -order ordinary differential equations. Nonlinear Anal. 70, 444–451 ... boundary value problems of arbitrary order. J Lond Math Soc. 79, 238–258 (2009)
9. Zhang, Z, Perera, K: Sign-changing solutions of Kirchhoff type problems via invariant sets of descent flow. J Math...
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báo cáo hóa học:" Research Article Nonoscillation of First-Order Dynamic Equations with Several Delays" pdf
Ngày tải lên :
21/06/2014, 11:20
... theorems on oscillation and nonoscillation
of solutions to 1.3 are obtained. Thus, solutions of two different equations and/or two
different solutions of the same equation are compared, which allows ... delay dynamic equations of first
order, ” Advances in Difference Equations, vol. 2008, Article ID 458687, 12 pages, 2008.
10 H. A. Agwo, “On the oscillation of first order delay dynamic equations with ... uniqueness of solutions to systems of delay dynamic equations on time
scales,” http://arxiv.org/abs/1001.0737v3 .
6 M. Bohner, “Some oscillation criteria for first order delay dynamic equations,”...
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báo cáo hóa học:" Research Article Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs" pptx
Ngày tải lên :
21/06/2014, 11:20
... a unique solution and then studied the dependence of this solution on the parameters
λ and μ.Sun11 discussed the existence and nonexistence of positive solutions to a class of
third -order three-point ... and Parameter Dependence of Positive
Solution of Fourth -Order Nonhomogeneous BVPs
Jian-Ping Sun and Xiao-Yun Wang
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, ... uniqueness of a positive solution. The
dependence of the solution on the parameters λ
i
i 1, 2, 3, 4 is also studied.
1. Introduction
Boundary value problems BVPs for short consisting of fourth-order...
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