Existence of positive, negative and sign-changing periodic solutions for a class of integral equations

AbstractIn this paper, the simultaneous existence of positive, negative and sign-changing periodic solutions for a class of integral equations of the form ϕ(x)=∫[x,x+ω]∩ΩK(x,y)f(y,ϕ(y−τ(y)))dy,x∈Ω, is considered, where Ω is a closed subset of RN with a periodic structure. Our main result is different from most existing results since they provide three constant sign periodic solutions only

Brief Description of Fluorescent Pamphlets

This is a brief description of the artist\u27s mixed-media installation Fluorescent Pamphlets in 1994. (He Zhang 25\u27)https://digital.kenyon.edu/zhoudocs/1343/thumbnail.jp

Basic idea of my works

This is a brief explanation of the artist\u27s creative art approach and the meaning behind. (He Zhang 25\u27)https://digital.kenyon.edu/zhoudocs/1345/thumbnail.jp

Project Proposal For Alternative polyphonic Realities (APR)

This proposal consists of a summary and fundamental concepts of the artist\u27s project: Alternative Polyphonic Realities. (He Zhang 25\u27)https://digital.kenyon.edu/zhoudocs/1341/thumbnail.jp

Information Column

This is a brief description of the artist\u27s multi-media installation Information Column . (He Zhang 25\u27)https://digital.kenyon.edu/zhoudocs/1344/thumbnail.jp

Brief explanation of installation of Neighborhood

This is a printed explanation of the artist\u27s installation of Neighborhood in 1995. (He Zhang 25\u27)https://digital.kenyon.edu/zhoudocs/1342/thumbnail.jp

Resume: ZHAO SuiKang

This is a printed resume of the artist. The artist\u27s educational background, major awards & exhibitions, and selected bibliography are included. (He Zhang 25\u27)https://digital.kenyon.edu/zhoudocs/1340/thumbnail.jp

Slide List

This is a brief description of the artist\u27s fifteen slides. The slides\u27 names, date of shooting, way of being perceived, type of installation involved, material, size are included. Some of the descriptions also include the background information of the work. (He Zhang 25\u27)https://digital.kenyon.edu/zhoudocs/1346/thumbnail.jp

Uncovering patterns of inter-urban trip and spatial interaction from social media check-in data

The article revisits spatial interaction and distance decay from the perspective of human mobility patterns and spatially-embedded networks based on an empirical data set. We extract nationwide inter-urban movements in China from a check-in data set that covers half million individuals and 370 cities to analyze the underlying patterns of trips and spatial interactions. By fitting the gravity model, we find that the observed spatial interactions are governed by a power law distance decay effect. The obtained gravity model also well reproduces the exponential trip displacement distribution. However, due to the ecological fallacy issue, the movement of an individual may not obey the same distance decay effect. We also construct a spatial network where the edge weights denote the interaction strengths. The communities detected from the network are spatially connected and roughly consistent with province boundaries. We attribute this pattern to different distance decay parameters between intra-province and inter-province trips.Comment: 20 pages, 10 figure