Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx
Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx
... article, we investigate the existence of infinitely many periodic solutions for
some nonautonomous second-order differential systems with p (t )-Laplacian. Some
multiplicity results are obtained ... 2011:33
http://www.boundaryvalueproblems.com/content/2011/1/33
Page 10 of 15
RESEARC H Open Access
Infinitely many periodic solutions for some
second-order dif...
Báo cáo hóa học: " Research Article Positive Solutions for Integral Boundary Value Problem with φ-Laplacian Operator Yonghong Ding" pdf
... solutions for the one-dimensional p-Laplacian,” Proceedings of the
American Mathematical Society, vol. 125, no. 8, pp. 2275–2283, 1997.
4 D. Ji and W. Ge, “Multiple positive solutions for some ... The existence of positive solutions
for two above cases received wide attention see 3–10. For example, Ji and Ge 4 studied
the multiplicity of positive solutions for the...
Báo cáo hóa học: " Research Article Positive Solutions for Some Beam Equation Boundary Value Problems" pptx
... In 10, Ehme et al. gave some sufficient conditions
for the existence of a solution of
u
iv
t
f
t, u
t
,u
t
,u
t
,u
t
1.5
with some quite general nonlinear ... positive solutions for differential equation
boundary value problems, see 3, 6. With this fixed point theorem, Bai and Wang 6
discussed the existence, uniqueness, multiplicity, an...
Báo cáo hóa học: " Infinitely many sign-changing solutions for a Schrödinger equation" potx
... interior.
Remark 1.2 In [4], they showed infinitely many solutions for p-Laplace equation
with Dirichlet boundary value, while we get infinitely many sign-changing solutions
under similar conditions.
Remark ... obtained the existenc e
for sign-changing solutions in a asymptotically case.
Remark 1.4 In [1, §5.3], they also obtained infinitely many sign-changing solutio...
Báo cáo hóa học: " Infinitely many solutions to superlinear second order m-point boundary value problems" potx
... R
2
for some C>0 and b Î (0, 1/2).
We obtain infinitely many solutions having specified nodal properties by the
bifurcation techniques.
MSC(2000). 34B15, 58E05, 47J10
Keywords: Nodal solutions, ... is nondecreasing.
Lemma 3.4 Let u be a solution of (3.2) with 0 ≤ l ≤ R and |u’|
0
≥ ζ
2
(R)forsomeR
>0. Then, for any x Î [0, 1] with |u(x)| ≤ R, we have |u’(x)| ≥ R
2
.
Pro...
Báo cáo hóa học: " Uniqueness of positive solutions to a class of semilinear elliptic equations" potx
... have
|ω(t)|≤M
3
L
t
a
|ω(s)|d
s
for t ≤ t
0
. It now follows from Gron-
wall’s inequality that ω ≡ 0fora <t ≤ t
0
, consequently u’ ≡ v’ for t ≤ t
0
. We find u(t) ≡
v(t) for all t Î (a,t
0
]. With the initial ... symmetric positive solutions for -Δ u+u=u
p
in an annulus. J
Diff Equ. 245, 1198–1209 (2008). doi:10.1016/j.jde.2008.06.006
6. Korman, P: Uniqueness and exact multi...
Báo cáo hóa học: "Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces" doc
... positive solutions for a class of p-Laplacian
fourth-order differential equations w ith integral boundary conditions. By using
Mawhin’ s continuat ion theorem, some sufficient conditions for the ... of
solution for a class of second-order differential equations with integral boundary con-
ditions at resonance are established in [8]. Feng et al. [9] considered the boundary
va...
Báo cáo hóa học: " Research Article Three Solutions for Forced Duffing-Type Equations with Damping Term" docx
... pp. 2807–2813,
2010.
9 Y. Wang and W. Ge, Periodic solutions for Duffing equations with a p-Laplacian-like operator,”
Computers & Mathematics with Applications, vol. 52, no. 6-7, pp. 1079–1088, ... most general forced form of the Duffing-type
equation is
u
t
σu
t
f
t, u
t
p
t
. 1.3
Recently, many authors have studied the existence of periodic so...
Báo cáo hóa học: " Research Article Three Solutions for a Discrete Nonlinear Neumann Problem Involving the p-Laplacian Pasquale Candito1 and Giuseppina D’Agu`2 ı" pptx
... local minima for Φ −λΨ such that Ψu
1
≥ 0andΨu
2
≥ 0. Owing
to Lemmas 2.5 and 2.6, they are two positive solutions for P
f
λ
so tu
1
k
1 − tu
2
k
≥ 0, for all
k ∈ 1,N and for all t ... Computers & Mathematics with Applications, vol. 56, no. 4, pp. 959–964, 2008.
14 Y. Tian and W. Ge, “The existence of solutions for a second-order discrete Neumann problem...
báo cáo hóa học:" Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions" pptx
... lower solutions method together with maximal principle, we establish a
necessary and sufficient condition for the existence of pseudo-C
3
0, 1 as well as C
2
0, 1 positive
solutions for fourth-order ... 862079, 23 pages
doi:10.1155/2010/862079
Research Article
Positive Solutions for Fourth-Order Singular
p-Laplacian Differential Equations with Integral
Boundary Conditions...