Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals [PDF]
Agraïments: The first author is partially supported by FEDER-UNAB-10-4E-378 and a CAPES grant 88881.
Llibre, Jaume, Teixeira, Marco Antonio
core +2 more sources
Existence problems for homoclinic solutions
The problem x˙=f(t,x), x(−∞)=x(+∞), where x(±∞) : = limt→±∞x(t) ∈ ℝn, is considered. Some existence results for this problem are established using the fixed point method and topological degree theory.
Cezar Avramescu
wiley +1 more source
High Multiplicity and Chaos for an Indefinite Problem Arising from Genetic Models
We deal with the periodic boundary value problem associated with the parameter-dependent second-order nonlinear differential ...
Boscaggin Alberto +2 more
doaj +1 more source
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications
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
Global behavior of positive solutions for some semipositone fourth-order problems
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
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
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
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
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
Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators [PDF]
International audienceThe paper is devoted to integro-differential operators, which correspond to non-local reaction-diffusion equations considered on the whole axis. Their Fredholm property and properness will be proved.
Apreutesei, Narcisa, Volpert, Vitaly
core +4 more sources

