Sturm-Liouville Theory Christopher J. Adkins Master of Science Graduate Department of Mathematics University of Toronto 2014 A basic introduction into Sturm-Liouville Theory. We mostly deal with the general 2ndorder ODE in self-adjoint form. There are a number of things covered including: basic asymptotics, properties of the spectrum, interlacing of zeros, transformation arguments...

In this lecture we abstract the eigenvalue problems that we have found so useful thus far for solving the PDEs to a general class of boundary value problems that share a common set of properties. The so-called Sturm-Liouville Problems define a class of eigenvalue problems, which include many of the previous problems as special cases. The S − L Problem helps to identify those assumptions that ar...

Distributed Activation Energy Modelling for Thermal Decomposition of Microalgae Residues Khanh-Quang Tran , Hau-Huu Bui , Wei-Hsin Chen a Department of Energy and Process Engineering, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway b The Petroleum and Petrochemical College, Chulalongkorn University, Bangkok 10330, Thailand c Department of Aeronautics and Astronautics –...

School of Physical Therapy and Rehabilitation Science, College of Health Professions and Biomedical Sciences, University of Montana; International Heart Institute of Montana Foundation, Saint Patrick Hospital, Providence Medical Group, Missoula, MT; Division of General Internal Medicine; Center for Women’s Health Research; Division of Cardiology, Department of Medicine, University of Colorado S...

a USDA, Forest Service, Northern Region, 200 E. Broadway, Missoula, MT 59807, USA b College of Forestry and Conservation, University of Montana, Missoula MT, 59812, USA c USDA, Rocky Mountain Research Station, Forestry Sciences Laboratory, 800 East Beckwith Ave, Missoula, MT 59801, USA d Natural Resource Economics, College of Forestry and Conservation, University of Montana, Missoula MT, 59812,...

Centre for Wildlife Ecology, Department of Biological Sciences, Simon Fraser University, 8888 University Drive, Burnaby, British Columbia V5A 1S6, Canada; Division of Biological Sciences, University of Montana, Missoula, Montana 59812, USA; and Pacifi c Wildlife Research Center, Canadian Wildlife Service, Environment Canada, Rural Route 1, 5421 Robertson Road, Delta, British Columbia V4K 3N2, C...

Mark Young, Benjamin Bolduc, Daniel P. Shaughnessy, Francisco F. Roberto, Yuri I. Wolf, Eugene V. Koonin Thermal Biology Institute and Departments of Microbiology, Plant Sciences and Plant Pathology, and Chemistry and Biochemistry, Montana State University, Bozeman, Montana, USA; National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda...

In May 2012, the Montana Department of Public Health and Human Services noted that 23 cases of gonorrhea were reported in Roosevelt County during October 2011-March 2012, compared with only three cases during January-September 2011. An analysis of surveillance data for Roosevelt County and the six other Montana counties most closely associated with American Indian (AI) reservations showed that,...

Abstract. Macrotera (Cockerellula) opuntiae (Cockerell) is a minute bee oligolectic on cacti and one of the few stone-nesting species. We document first records M. in Montana, USA, considerable range expansion from where this species was previously known Colorado. briefly describe habitat host-plant (cacti) associations, activity period adults Montana. A new state record for Nebraska western Co...