asymptotic solutions of nonlinear second order differential equations with variable coefficients
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
ek,
1
Ewa Weinm
ă
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 ... formulate sufficient conditions for the existence of at least
one solution of problem 5.1a and 5.1b with a>0. In the proof of this theorem, we work
also with auxiliary two-point boundary conditions:
u
0
...
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báo cáo hóa học:" Research Article Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems" ppt
Ngày tải lên :
21/06/2014, 11:20
... structure of the set of positive solutions
of parameterized nonlinear operator equations, which is essentially a consequence of Dancer
12, Theorem 2.
Suppose that E is a real Banach space with norm ... P. J. Torres, “Existence of one-signed periodic solutions of some second- order differential equations
via a Krasnoselskii fixed point theorem,” Journal of Differential Equations, vol. 190, no. 2, ... pages
doi:10.1155/2010/626054
Research Article
Existence of Positive Solutions of
Nonlinear Second- Order Periodic Boundary
Value Problems
Ruyun Ma, Chenghua Gao, and Ruipeng Chen
Department of Mathematics, Northwest Normal...
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Báo cáo sinh học: " Research Article Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions" docx
Ngày tải lên :
21/06/2014, 16:20
... Conclusions
This paper studies the existence and uniqueness of solutions for nonlinear integro-differential
equations of fractional order q ∈ 1, 2 with three-point nonlocal fractional boundary
conditions ... Difference Equations
Volume 2010, Article ID 691721, 10 pages
doi:10.1155/2010/691721
Research Article
Existence of Solutions for Nonlinear Fractional
Integro -Differential Equations with Three-Point
Nonlocal ... properly cited.
We prove the existence and uniqueness of solutions for nonlinear integro-differential equations of
fractional order q ∈ 1, 2 with three-point nonlocal fractional boundary conditions...
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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 ... 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. ... .
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...
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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
... Article
Homoclinic Solutions of Singular Nonautonomous
Second- Order Differential Equations
Irena Rach
˚
unkov
´
aandJanTome
ˇ
cek
Department of Mathematical Analysis and Applications of Mathematics, Faculty of ... 1.3–1.8,
1.9 the set of solutions of 1.1, 1.10 for B ∈ L
0
, 0 consists of escape solutions and
of oscillatory solutions having values in L
0
,L and of at least one homoclinic ... linear behaviour near −∞. The proof is based on a full description of the set of all solutions
of problem 1.1, 1.10 for B<0 and on the existence of an escape solutions in this set.
Finally,...
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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
... non-linear differential equations
of fractional order. Nonlinear Anal 2011, 74:792-804.
34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses ... W: On some nonlinear ordinary differential equations with advanced
arguments. Nonlinear Anal 2003, 53:495-505.
40. Yan JR: Oscillation of first -order impulsive differential equations with advanced ... Positive solutions of the three-point boundary value problem for second order differential
equations with an advanced argument. Nonlinear Anal 2006, 65:2013-2023.
42. Jankowski T: Positive 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
... and recessive solutions. Let
Advances in Difference Equations 13
R denote the set of all positive recessive solutions of 1.1 and D denote the set of all
positive dominant solutions of 1.1.FromTheorem ... Corporation
Advances in Difference Equations
Volume 2010, Article ID 673761, 16 pages
doi:10.1155/2010/673761
Research Article
Regularly Varying Solutions of
Second- Order Difference Equations with
Arbitrary Sign ... conditions for regular or slow variation of all positive solutions of a
second- order linear difference equation with arbitrary sign coefficient are established. Relations
with the so-called
M-classification...
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Báo cáo sinh học: "Homoclinic solutions of some second-order non-periodic discrete systems" ppt
Ngày tải lên :
18/06/2014, 22:20
... is just the repetition of the proof of
Lemma 3.2, we omit the details of its proof.
With the aid of above preparations, now we will give the proof of Theorem
1.2.
Proof of Theorem 1.2 By(1.8), ... a type of the best expressive way of the structure of
the solution space for recurrence relations occurring in the study of second-
order linear differential equations. So, (1.3) arises with high ... similar to the proof of Lemma 3.1, so
we omit the details of its proof.
Lemma 3.4 Under the conditions of Theorem 1.2, F (x) satisfies the PS
condition.
Proof From the proof of Lemma 3.2, we see...
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báo cáo hóa học:" Homoclinic solutions of some second-order non-periodic discrete systems" doc
Ngày tải lên :
20/06/2014, 04:20
... is just the repetition of the proof of
Lemma 3.2, we omit the details of its proof.
With the aid of above preparations, now we will give the proof of Theorem
1.2.
Proof of Theorem 1.2 By(1.8), ... similar to the proof of Lemma 3.1, so
we omit the details of its proof.
Lemma 3.4 Under the conditions of Theorem 1.2, F (x) satisfies the PS
condition.
Proof From the proof of Lemma 3.2, we see ... a type of the best expressive way of the structure of
the solution space for recurrence relations occurring in the study of second-
order linear differential equations. So, (1.3) arises with high...
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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
... greatest solutions) ,
unfortunately often identified in the literature on lower and upper solutions.
First -order differential equations with state-dependent deviated argu-
ments have received a lot of ... 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 solution ... (17), (18)
are lower and upper solutions for problem (1) with Λ = 0, and this does not
depend on the choice of τ.
Proof. Reasoning in the same way as in the proof of Proposition 1, we
obtain that...
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Báo cáo toán học: " Homoclinic solutions of some second-order nonperiodic discrete systems" pptx
Ngày tải lên :
20/06/2014, 21:20
... is just the repetition of the proof of Lemma
3.2, we omit the details of its proof.
With the aid of above preparations, now we will give the proof of Theorem 1.2.
Proof of Theorem 1.2 By(1.8), ... similar to the proof of Lemma 3.1, so we omit
the details of its proof.
Lemma 3.4 Under the conditions of Theorem 1.2, F(x) satisfies the PS condition.
Proof From the proof of Lemma 3.2, we see ... properties of difference equations,
those studies cover many branches of difference equations, see [3-7] and references
therein. In the theory of differential equations, homoclinic solutions, ...
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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 ... studied existence of minimal and maximal quasisolutions of a second- order nonlinear
periodic boundary value problem 3,Section4. In 2005, Wang and Shi 4 considered 1.1
with the periodic ... Corporation
Advances in Difference Equations
Volume 2009, Article ID 347291, 18 pages
doi:10.1155/2009/347291
Research Article
Inequalities among Eigenvalues of
Second- Order Difference Equations with
General Coupled...
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Báo cáo hóa học: " New criteria for stability of neutral differential equations with variable delays by fixed points method" docx
Ngày tải lên :
20/06/2014, 22:20
... and stability in differential equations with variable delays. Nonlinear Anal. 63, e233–e242 (2005).
doi:10.1016/j.na.2005.02.081
11. Sakthivel, R, Luo, J: Asymptotic stability of nonlinear impulsive ... neutral differential equations with variable delays. Proc Am Math Soc. 136,
909–918 (2008)
19. Ardjouni, A, Djoudi, A: Fixed points and stability in linear neutral differential equations with variable ... neutral differential equation, variable delays
1 Introduction
The objective of this article is to investigate the stability of the zero solution of the
first -order linear neutral differential equations...
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báo cáo hóa học: " Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity" pdf
Ngày tải lên :
21/06/2014, 00:20
... multiplicity of periodic solution for a class of non-autonomous second- order systems
with linear nonlinearity. Nonlinear Anal. 60, 325–335 (2005)
12. Wang, Z, Zhang, J: Periodic solutions of a class of second ... follows from (
1
) which are appeared in the proof
of Theorem 1.2. Then the proof of Theorem 1.3 is completed. □
Proof of Theorem 1.4. From the proof of Theorem 1.1, we know that is coercive
which ... of second order non-autonomous Hamiltonian systems. Nonlinear Anal.
72, 4480–4487 (2010). doi:10.1016/j.na.2010.02.023
13. Meng, Q, Tang, XH: Solutions of a second- order Hamiltonian with periodic...
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- examples of nonlinear first order differential equations
- linear systems of differential equations with variable coefficients
- higher order linear differential equations with variable coefficients
- solution of linear differential equations with variable coefficients
- second order linear differential equations with variable coefficients
- linear differential equations with variable coefficients