Existence of a positive solution to a right focal boundary value problem

In this paper we apply the recent extension of the Leggett-Williams Fixed Point Theorem which requires neither of the functional boundaries to be invariant to the second order right focal boundary value problem. We demonstrate a technique that can be used to deal with a singularity and provide a non-trivial example

An Extension of the Compression-Expansion Fixed Point Theorem of Functional Type

In this article we use an interval of functional type as the underlying set in our compression-expansion fixed point theorem argument which can be used to exploit properties of the operator to improve conditions that will guarantee the existence of a fixed point in applications. An example is provided to demonstrate how intervals of functional type can improve conditions in applications to boundary value problems. We also show how one can use suitable k-contractive conditions to prove that a fixed point in a functionaltype interval is unique

CLIMATE READY BOSTON: Climate Change and Sea Level Rise Projections for Boston, The Boston Research Advisory Group Report

This report summarizes the current understanding of the local factors that influence Boston’s future exposure to climate change risks. The following four risk factors were considered most relevant to Boston and are therefore evaluated in this report: sea-level rise, extreme precipitation, coastal storms and extreme temperatures. For each risk factor, a team of scientific experts, comprised of a team leader and three or more team members, was selected to evaluate and summarize the available information contained in both grey (reports, conference proceedings and the like) and peer-reviewed literature. Each team met independently between October 2015 and January 2016, and team leaders had regular teleconferences with the UMass Boston project team to keep them apprised of progress and to help overcome problems that were encountered. The process for reaching consensus is outlined in the next section

LEED neighborhood and design assessment: the Bellingham downtown alleyway revitalization

Bellingham is a vibrant city nestled amid the Northwestern Cascades in close proximity to Canada, surrounded by vast agricultural flood plains, rolling foothills and striking snowcapped peaks. A crown jewel of the Pacific Northwest, Bellingham attracts people from across the country for a spectacular quality of life, higher education and a unique sense of community available only there. Needless to say, the population in Bellingham is projected to grow in the coming decades. By 2022, Bellingham is expected to grow over 50%, by almost 30,000 people, adding to the current population of 76,100 (COB, 2009), creating a significant impact on the municipality and metropolitan areas. (Population Growth Forecasts) Faced with a greater demand for land and services, municipalities of the future must seek innovative ways of meeting this growth without falling into the present urban paradigm of greater city sprawl. Space is becoming limited, farmland is being pressed by development and warnings of global climate change call for a radical shift in infrastructure. City planners, community leaders, developers, politicians and citizens are facing the difficult reality of finding ways to develop urban areas in revolutionary new ways. Boiled down into its most basic tenants, this new horizon is best described as sustainable urbanism, walk-able and transit served urbanism integrated with high performance buildings and high performance infrastructure . (Farr, 2008) Drawing from building movements like new urbanism, smart growth and green building, sustainable urbanism is a synthesis of the classic environmentally friendly growth with other pressing social concerns like economic disparity, vehicle dependent communities, un-equitable neighborhood patterns and pedestrian safety. Urban renewal projects are an opportunity to gain experience reaching the needs of a community both environmentally and socially. Downtown Bellingham is going to be the site of a major urban development in the near future that will add a great deal of community appeal for Bellingham residents and commercial real estate. This project is a major retrofit of the Cornwall corridor, the heart of Bellingham\u27s central business district. Large retail outlet is going to be placed on either ends of the project boundaries and the alleyways that run parallel to the main streets will be renovated. The goal of this project is to increase capacity and attractiveness of the central business district, using the principles of smart growth, new urbanism and sustainable building technology as they are synthesized in the current 2009 LEED Neighborhood Design rating system. Designed by the U.S. Green Building Council as an industry standard system to measure and rate Green building projects, LEED rating systems have evolved to provide a voluntary and objective measure of a project\u27s sustainability. Instead of designing and building the urban environment with a variety of Euclidean land uses that require extensive automobile connection to function properly, LEED standards help build mixed use communities that are designed and built to function self-sufficiently. Sustainable urbanism takes a more holistic approach to design, leading to the construction of healthy communities that encourage non-motorized transportation, mass transit and close proximity of everyday amenities. Bellis Fair Mall in Bellingham is an example of a Euclidean use, automobile-dependent development, which resulted in the loss of economic activity downtown. Renovating the Downtown through LEED standards will effectively shift much of this retail activity from Bellis Fair Mall to a new urban village downtown, reducing automobile dependence and enhancing the livability of the downtown corridor. Our job as a sustainable growth consulting firm is to evaluate Bellingham\u27s potential for urban renewal based on the LEED-ND 2009 Rating System. This analysis begins with evaluating the current Cornwall revitalization proposal previously presented, through the LEED checklist. This project will focus on the alleyways that run parallel to Cornwall, the surrounding infill and building renovation. By doing this, we will be able to establish the potential for LEED certification of the existing plan and identify areas that can be improved upon to achieve a higher rating. Our alternative action will take the initial proposal a step further by evaluating potential solutions that can be utilized to meet more of the LEED requirements. As an academic consultation team, our mission is to bridge the gap between builders, government planners and the concerned public by evaluating the LEED-ND as a sustainable growth tool. We are confident that prejudice concerning environmentally sustainable growth can be met with practical methods for reducing environmental harm, efficiency thresholds and habitat restoration, providing the public with intelligently designed community space that will benefit us all