... 2007, Article ID 86925, 9 pages
doi:10.1155/2007/86925
Research Article
Oscillatory Solutions for Second-Order Difference
Equations in Hilbert Spaces
Crist
´
obal Gonz
´
alez and Antonio Jim
´
enez-Melado
Received ... Equations
The next theorem is an oscil l ation result for (1.3) based on the ideas outlined in the
introduction.
Theorem 2.2. Consider the second-or...
... Santos, “On ground state solutions for singular and semi-linear problems including super-linear
terms at in nity,” Nonlinear Analysis: Theory, Methods & Applications. In press.
17 Z. Yang, ... reproduction in
any medium, provided the original work is properly cited.
1. Introduction
In this paper we establish new results concerning existence and behavior at in nity of
soluti...
... mapping but not relatively nonexpansive mapping. In this
paper, we give an example which is weak relatively nonexpansive mapping but not relatively
nonexpansive mapping in Banach space l
2
.
Apointp ... relatively
nonexpansive mapping is weak relatively nonexpansive mapping. In fact, for any mapping
T : C → C, we have FT ⊂
FT ⊂
FT. Therefore, if T is relatively nonexpansive...
... Publishing Corporation
Boundary Value Problems
Volume 2011, Article ID 736093, 11 pages
doi:10.1155/2011/736093
Research Article
Three Solutions for Forced Duffing-Type
Equations with Damping Term
Yongkun ... cited.
Using the variational principle of Ricceri and a local mountain pass lemma, we study the existence
of three distinct solutions for the following resonant Duffing-type...
... applying Krasnoselskii fixed point theorem.
As for integral boundary value problem, when φuu is linear, the existence of
positive solutions has been obtained see 8–10 .In 8, the author investigated ... Krasnoselskii fixed point theorem. In Section 4,we
give the existence of three positive solutions for BVP1.1 by using a new fixed point theorem
introduced by Avery and Peterson...
... d
d
p
,Q:
N
k1
q
k
. 3.1
2AdvancesinDifference Equations
In particular, for every λ lying in a suitable interval of parameters, at least three
solutions are obtained under mutually independent conditions. ... P
f
λ
is
obtained assuming that F is p-sublinear at zero and p-superlinear at in nity Theorem 3.5.
It is worth noticing that it is the first time that this type of...
... also given.
1. Introduction
In this paper, we consider the existence of positive solutions for the following nonlinear
fourth-order singular p-Laplacian differential equations with integral boundary ... positive
solutions for fourth-order singular p-Laplacian differential equations with integral boundary
conditions. Our nonlinearity f may be singular at t 0, t 1, and u 0. Th...
... Kang and Z. Wei, “Three positive solutions of singular nonlocal boundary value problems
for systems of nonlinear second-order ordinary differential equations, ” Nonlinear Analysis: Theory,
Methods ... be
modeled as Multipoint boundary value problem 2.
The study of Multipoint boundary value problems for linear second order ordinary
differential equations was initiated by Il in and...
... Value Problems
Jinhui Liu
1, 2
and Weiya Xu
3
1
Department of Civil Engineering, Hohai University, Nanjing 210098, China
2
Zaozhuang Coal Mining Group Co., Ltd, Jining 277605, China
3
Graduate ... bring forward the theory of
combined beams. That is to say, we can bind up some stratified structure copings into one
global combined beam with rock bolts. The deformations of an elastic beam in .....
... Hindawi Publishing Corporation
Journal of Inequalities and Applications
Volume 2009, Article ID 191649, 12 pages
doi:10.1155/2009/191649
Research Article
Multiple Solutions for a Class ... differential equations and variational problems with px-growth
conditions have been studied extensively; see for example 3–6 .In 7, De Figueiredo and
Ding discussed the multiple solutions...