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We investigate the homogenization limit of a free boundary problem with space-dependent free boundaryvelocities. The problem under consideration has a well-known obstacle problem transformation, forma...
We consider solutions of the KPP-type equations with a periodically varying reaction rate, and compactly supported initial data. It has been shown by Bramson [5, 6] in the case of the constant reactio...
KPP invasions in periodic media:lecture notes for the Toulouse KPP school.
Periodic Time Series Data Analysis.
A continuum of periodic solutions to the planar four-body problem with various choices of masses.
This paper studies non-autonomous Lyness type recurrences of the form xn+2 =(an + xn)=xn+1, where fangn is a k-periodic sequence of positive numbers with prime period k. We show that for the cases k 2...
We study the dynamics of a classical nonrelativistic charged particle moving on a punctured plane under the influence of a homogeneous magnetic field and driven by a periodically time-dependent singu...
We consider the Schr\"odinger operator $H = -\Delta + V$ in a layer or in a $d$-dimensional cylinder. The potential $V$ is assumed to be periodic with respect to some lattice. We establish the absolu...
Suppose a smooth planar curve $\gamma$ is $2\pi$-periodic in the $x$ direction and the length of one period is $\ell$. It is shown that if $\gamma$ self-intersects, then it has a segment of length $\...
We introduce the iteration theory for periodic billiard trajectories in a compact and convex domain of the Euclidean space, and we apply it to establish a multiplicity result for non-iterated trajecto...
In the present paper, we investigate some important properties of (h, k)-dichotomy. rthermore, we study the higher dimensional periodic system
In this paper we study the periodic boundary value problem for a nonlinear ordinary differential equation of second order. We give sufficient and necessary conditions for the existence of periodic sol...
In this paper, a predator-prey model with mixed-type functional response is investigated. Sufficient conditions are derived that guarantee the permanence of the system. Meanwhile, when the system is p...
In this paper, we consider a SI system with spraying microbial pesticide and releasing the infected pests, the infected pests have the function similar to the microbial pesticide and can infect the he...

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