Results 21 to 30 of about 41 (41)

Global behavior of positive solutions for some semipositone fourth-order problems

Advances in Difference Equations, 2018
In this paper, we study the global behavior of positive solutions of fourth-order boundary value problems {u′′′′=λf(x,u),x∈(0,1),u(0)=u(1)=u″(0)=u″(1)=0, $$ \textstyle\begin{cases} u''''=\lambda f(x,u), \quad x\in (0,1), \\ u(0)=u(1)=u''(0)=u''(1)=0 ...
Dongliang Yan, Ruyun Ma
doaj   +1 more source

Topological degree and application to a parabolic variational inequality problem

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 4, Page 273-287, 2001., 2001
We are interested in constructing a topological degree for operators of the form F = L + A + S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with respect to the domain of L.
A. Addou, B. Mermri
wiley   +1 more source

On the solvability of a system of wave and beam equations

Abstract and Applied Analysis, Volume 6, Issue 4, Page 215-228, 2001., 2001
We prove new existence results for linearly coupled system of wave and beam equations. The main concept is the matrix spectrum which is a natural extension of standard definition. Using invariant subspaces together with degree theoretic argument we obtain information about the range of the abstract operator.
Juha Berkovits
wiley   +1 more source

Maximal elements and equilibria of generalized games for 𝒰‐majorized and condensing correspondences

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 179-189, 1999., 1999
In this paper, we first give an existence theorem of maximal elements for a new type of preference correspondences which are 𝒰‐majorized. Then some existence theorems for compact (resp., non‐compact) qualitative games and generalized games in which the constraint or preference correspondences are 𝒰‐majorized (resp., Ψ‐condensing) are obtained in ...
George Xian-Zhi Yuan, E. Tarafdar
wiley   +1 more source

On the degree theory for densely defined mappings of class (S+)L

Abstract and Applied Analysis, Volume 4, Issue 3, Page 141-152, 1999., 1999
We introduce a new construction of topological degree for densely defined mappings of monotone type. We also study the structure of the classes of mappings involved. Using the basic properties of the degree, we prove some abstract existence results that can be applied to elliptic problems.
Juha Berkovits
wiley   +1 more source

Brouwer degree, equivariant maps and tensor powers

Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 401-409, 1998., 1998
A construction of equivariant maps based on factorization through symmetric powers of a faithful representation is presented together with several examples of related equivariant maps. Applications to differential equations are also discussed.
Z. Balanov, W. Krawcewicz, A. Kushkuley
wiley   +1 more source

Weak solutions of degenerated quasilinear elliptic equations of higher order

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 689-706, 1996., 1995
We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces. The straightforward use of these imbeddings allows us to consider more general assumptions than those in our preceding paper ...
Pavel Drábek, Alois Kufner, Francesco Nicolosi   +2 more
wiley   +1 more source

On a local degree for a class of multi‐valued vector fields in infinite dimensional Banach spaces

Abstract and Applied Analysis, Volume 1, Issue 4, Page 381-396, 1996., 1996
This paper is devoted to the development of a local degree for multi‐valued vector fields of the form f − F. Here, f is a single‐valued, proper, nonlinear, Fredholm, C1‐mapping of index zero and F is a multi‐valued upper semicontinuous, admissible, compact mapping with compact images.
N. M. Benkafadar, B. D. Gel′man
wiley   +1 more source

Existence and Multiplicity of Periodic Solutions to Indefinite Singular Equations Having a Non-monotone Term with Two Singularities

Advanced Nonlinear Studies, 2019
Efficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u′′=h⁢(t)⁢g⁢(u){u^{\prime\prime}=h(t)g(u)} are established.
Hakl Robert, Zamora Manuel
doaj   +1 more source

High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness

Advances in Nonlinear Analysis
This article deals with the existence of high-energy positive solutions for the following coupled Schrödinger system with critical exponent: −Δu+V1(x)u=μ1u3+βuv2,x∈Ω,−Δv+V2(x)v=βu2v+μ2v3,x∈Ω,u,v∈D01,2(Ω)\left\{\begin{array}{l}-\Delta u+{V}_{1}\left(x)u={\
Guan Wen, Wang Da-Bin, Xie Huafei
doaj   +1 more source