GROUND STATE AND NON-GROUND STATE SOLUTIONS OF SOME STRONGLY COUPLED ELLIPTIC SYSTEMS

We study an elliptic system of the form Lu = vertical bar v vertical bar(p-1) v and Lv = vertical bar u vertical bar(q-1) u in Omega with homogeneous Dirichlet boundary condition, where Lu := -Delta u in the case of a bounded domain and Lu := -Delta u + u in the cases of an exterior domain or the whole space R-N. We analyze the existence, uniqueness, sign and radial symmetry of ground state solutions and also look for sign changing solutions of the system. More general non-linearities are also considered.

Energy and conductance state modeling of power electronic converters for DC microgrids

This document will demonstrate the methodology used to create an energy and conductance based model for power electronic converters. The work is intended to be a replacement for voltage and current based models which have limited applicability to the network nodal equations. Using conductance-based modeling allows direct application of load differential equations to the bus admittance matrix (Y-bus) with a unified approach. When applied directly to the Y-bus, the system becomes much easier to simulate since the state variables do not need to be transformed. The proposed transformation applies to loads, sources, and energy storage systems and is useful for DC microgrids. Transformed state models of a complete microgrid are compared to experimental results and show the models accurately reflect the system dynamic behavior.

University of Michigan Observatory

Richard Bull, architect. Known at various times as Detroit Observatory, Campus Observatory, Old Observatory. Observatory from northwest with pine trees and summer garden. On verso: A.L. Colton, Photographer, Ann Arbor, Michigan. Views of the State University a Specialty.

NAEP 1996 mathematics state report for Michigan /

"NCES 97-974 MI"--P. [4] of cover.

Proceedings of the ... annual sessions of the Texas Bar Association.

The 13th-21st include "Rules for the courts of Texas."

Manual of the Constitutional convention of Michigan, 1907.

Bibliography: p. [89]-142.

Special message of Governor H.S. Pingree to the fortieth legislature of Michigan upon report of military investigation committee. Transmitted May 22, 1899.

Mode of access: Internet.

The times of the rebellion in the West: a collection of miscellanies, showing the part taken in the war by each western state--notices of eminent officers--descriptions of prominent battles--conspiracies in the West to aid the rebellion--incidents of guerrilla and border warfare--individual adventures--anecdotes illustrating the heroism of western soldiers, etc.

Ohio.--West Virginia.--Indiana.--Kentucky.--Illinois.--Michigan.--Wisconsin.--Minnesota.--Iowa.--Missouri.--Kansas.

Ranking of Michigan public high school districts by selected financial data /

Title from cover.

Library Services and Technology Act : five year state plan for Michigan, October 1, 1997-September 30, 2002.

Includes "Library of Michigan FY 1999 LSTA Subgrant Application" (11 leaves).

Report of the Crime Commission of Michigan.

Mode of access: Internet.

Geologic map index of Michigan, 1843-1962 /

Bibliography: p. vi.

Soils of Michigan /

"Issued in December 1940, as Circular bulletin 176 of the Michigan Agricultural Experiment Station, re-issued in June 1948, as Extension bulleten 290 of the Michigan State College Extension Service."