solution of second order differential equation by runge kutta method
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 Method ... existence results of
nontrivial solutions and positive solutions are given by means of the topological degree
theory. Motivated by the above works, we consider the singular third -order three-point ... 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: " Positive periodic solution of higher-order functional difference equation" ppt
Ngày tải lên :
20/06/2014, 22:20
... 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 ... 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 ... 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: " On a class of second-order nonlinear difference equation" potx
Ngày tải lên :
20/06/2014, 22:20
... <1.
The proof of theorem 3 .8 is similar to that of theorem 3.6 by virtue of theorem 2.4,
theorem 3.5, Lemma (3.3) and Equation (1.1).
Theorem 3.9. The positive equilibrium point of Equation (1.1) ... 2011:46
http://www.advancesindifferenceequations.com/content/2011/1/46
Page 8 of 9
and
either m = ∞ or m < ∞ and x
m
+1
<
¯
x
.
A negative semicycle of a solution
{
x
n
}
∞
n
=−
1
of Equation (1.1) consists of a string of
terms ... the solution is a nontrivial solution, then we can further divide the solution into two
cases: non-oscillatory solution and oscillatory solution. A nontrivial solution
{x
n
}
∞
n
=−
1
of
Equation...
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báo cáo hóa học: " Study of the asymptotic eigenvalue distribution and trace formula of a second order operatordifferential equation" ppt
Ngày tải lên :
21/06/2014, 02:20
... of L
0
which are less than g
k
λ
k
∼−h
√
γ
k
.
(2:9)
Now, find the asymptotic of those solutions of Equation 2.3 which are greater than
g
k
, i.e., the real roots of Equation 2.5. By virtue of ... equicontinuity of E
R
, and it comp letes the proof of the discreteness
of the spectrum of L
0
.
2 The derivation of the asymptotic formula for eigenvalue distribution of L
0
Suppose that the eigenvalues of ... 2011:7
http://www.boundaryvalueproblems.com/content/2011/1/7
Page 4 of 22
RESEARC H Open Access
Study of the asymptotic eigenvalue distribution
and trace formula of a second order operator-
differential equation
Nigar Mahar Aslanova
1,2
Correspondence:...
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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
Ngày tải lên :
31/05/2014, 01:37
... local
estimates of the gradients of solutions of equations of the form (1) by combining the
use of certain methods characteristic of the technique of global barriers with
constructions applied by Ladyzhenskaya ... study of properties of generalized solutions of quasilin-
ear, weakly degenerate parabolic equations. From the results obtained it is evident
how the properties of generalized solutions of the equation ... conditions
following from (1.7.1). The class of equations determined by conditions (1.8.1)
contains as special cases some classes of equations of the type of equations of
surfaces with prescribed mean curvature...
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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 ... (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...
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Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx
Ngày tải lên :
20/06/2014, 22:20
... W\B
r
2
(0
)
,where
B
r
2
(0
)
is an open ball in W of
radius r
2
centered at 0.
Proof. The proof of Proposition 3.2 is the same as the proof of the condition (A2) in
the proof of Theorem 3.1.
We have proved the ... .
proof of Theorem 3.1, system (1.1) has infinite solutions {u
k
}in
W
1,p
(
t
)
T
for ever y posi-
tive integer k such that ||u
k
||
đ +,ask đ ∞.TheproofofTheorem3.2is
complete.
Proof of Theorem ... multiplicity of solutions for p(x)-Laplacian equations in ℝ
N
. Nonlinear Anal. 59, 173–188
(2004)
19. Rabinowitz, PH: Minimax methods in critical point theory with applications to differential equations....
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Báo cáo hóa học: " Research Article Lagrangian Stability of a Class of Second-Order Periodic Systems" docx
Ngày tải lên :
21/06/2014, 07:20
... result of boundedness of solutions in the superlinear case i.e.,
gx, t/x →∞as |x|→∞ was due to Morris 2. By means of KAM theorem, Morris
proved that every solution of the differential equation ... assumptions on the parities of Fx, t and ex, t,bya
small twist theorem of reversible mapping we obtain the existence of quasiperiodic solutions and
boundedness of all the solutions.
1. Introduction ... ϕx and et, by using a variant of Moser’s small twist
theorem 9 to the Pioncar
´
e map, the author obtained the existence of quasi-periodic solutions
and the boundedness of all solutions.
Then...
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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
... l
j
3.11
are finite. Equation 3.10 is a inhomogeneous second- order linear difference equation; its
solution takes the form of a particular solution added to an arbitrary linear combination of
solutions ... 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 ... constant. Equation
4.14 is an inhomogeneous second- order linear difference equation; its solution takes the
form of a particular solution added to an arbitrary linear combination of solutions...
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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
... ∪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
> ... possible values of the limits of y and of Δy. Solutions in M
∞,B
, M
∞,0
,
M
B,0
are sometimes called, respectively, dominant solutions, intermediate solutions, and
subdominant solutions, since, ... positive
solutions is particularly meaningful in the study of dominant and recessive solutions. Let
Advances in Difference Equations 13
R denote the set of all positive recessive solutions of 1.1...
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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 ... II,” Journal of Mathematical Analysis and Applications, vol. 330, no. 2, pp. 1393–1411, 2007.
10 L. Kong and Q. Kong, “Uniqueness and parameter dependence of solutions of second- order
boundary ... which is
the unique positive solution of the BVP 1.5–1.7. The first part of the theorem is proved.
In the rest of the proof, we will prove that such a positive solution u
λ
t satisfies
properties...
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báo cáo hóa học:" Research Article Unbounded Solutions of Second-Order Multipoint Boundary Value Problem on the Half-Line" potx
Ngày tải lên :
21/06/2014, 11:20
... results of existence and multiplicity of positive solutions to the
BVP 1.3 by using lower and upper solutions technique.
Motivated by the above works, we will study the existence results of unbounded
positive ... “Positive solutions of operator equations on half-line,” Journal of
Mathematical Analysis and Applications, vol. 314, no. 2, pp. 423–435, 2006.
23 Y. Wang, L. Liu, and Y. Wu, “Positive solutions of ... 2001.
21 C. Bai and J. Fang, “On positive solutions of boundary value problems for second- order functional
differential equations on infinite intervals,” Journal of Mathematical Analysis and Applications,...
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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
... pages
doi:10.1155/2010/973731
Research Article
Solutions 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 ... 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 ... holds. Then the second- order four-point BVP 2.13 has a unique
solution which is given in 2.29.
Proof. We need only to show the uniqueness.
Obviously, wt in 2.29 is a solution of BVP 2.13....
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