Results 21 to 30 of about 69 (68)
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications
Abstract and Applied Analysis, Volume 7, Issue 6, Page 295-322, 2002., 2002 We define a nonoriented coincidence index for a compact, fundamentally restrictible, and condensing multivalued perturbations of a map which is nonlinear Fredholm of nonnegative index on the set of coincidence points. As an application, we consider an optimal controllability problem for a system governed by a second‐order integro‐differential equation.
Valeri Obukhovskii +2 more
wiley +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
Topological degree methods for a nonlinear elliptic system with variable exponents [PDF]
In this paper, we consider the existence of a distributional solution for nonlinear elliptic system governed by (p(x),q(x))-Laplacian operators. We show that the system has at least one solution by using the topological degree theory. Our results improve
FEKRACHE, Abdelhak, LECHEHEB, Samira
core +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
Existence of periodic solutions to fractional p(z)-Laplacian parabolic problems [PDF]
We consider a class of nonlinear parabolic initial boundary value problems having the fractional p(z)-Laplacian operator. By combining variable exponent fractional Sobolev spaces with topological degree theory, we establish theexistence of a time ...
MELLIANI, Said +2 more
core +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
A p(x)-Kirchhoff Type Problem Involving the p(x)-Laplacian-Like Operators With Dirichlet Boundary Condition [PDF]
This paper deals with a class of p(x)-Kirchhoff type problems involving the p(x)-Laplacian-like operators, arising from the capillarity phenomena, depending on two real parameters with Dirichlet boundary conditions. Using a topological degree for a class
ALLALOU, Chakir +3 more
core +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
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
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