we consider the bifurcation of periodic solutions from an equilibrium point of the given equation: x =f(x,?) , where x ? r , ? is a vector of real parameters ? , ? , ... , ? and f:r x r ->r has at least second continuous derivations in variables

Keywords: Dirichlet boundary value problem p-Laplacian Topological degree theory Critical point theory Weak solution a b s t r a c t In this work, by virtue of topological degree theory and critical point theory, we are mainly concerned with the existence of weak solutions for a Dirichlet boundary value problem with the p-Laplacian operator.

The purpose of this paper is to study the higher order asymptotic distributions of the eigenvalues associated with a class of Sturm-Liouville problem with equation of the form w??=(?2f(x)?R(x)) (1), on [a,b, where ? is a real parameter and f(x) is a real valued function in C2(a,b which has a single zero (so called turning point) at point 0x=x and R(x) is a continuously differentiable function. ...

We consider the bifurcation of periodic solutions from an equilibrium point of the given equation: x =F(x,?) , where x ? R , ? is a vector of real parameters ? , ? , ... , ? and F:R x R ->R has at least second continuous derivations in variables

Firstly, it is introduced that the concepts of G-almost periodic point and G-sequence shadowing property. Then, we discuss dynamical relationship between sequence map {gk}∞k=1 limit g under G-strongly uniform convergence topological group action. We can get (1) Let be converge to where equicontinuous {yk}∞k=1 {gk}∞k=1. If limk → ∞ yk = y, then y an g; (2) are equicontinuous, limsup APG(gk) ⊂ AP...

Il est attendu que la limite du temps de relaxation pour distribution à un point processus d’exclusion simple totalement asymétrique et périodique en espace classe universelle KPZ domaine périodique. Contrairement au cas ligne infinie, dépend façon non-triviale des paramètres d’échelle temps. Nous étudions plusieurs propriétés cette dans le lois initiales pas périodiques plates. montrons change...