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Challener, David Carroll 2014-12-16T06:18:10Z 2014-12-16T06:18:10Z 10000-01-01 1984 1984 We consider the problem (DELTA)('2)(w(x,y)) = 0, w((+OR-)1,y) = w(,x)((+OR-)1,y) = 0 with boundary conditions w(,xx)(x,0) = f(x) w(,yy)(x,0) = g(x) on the semi-infinite strip -1 (LESSTHEQ) x (LESSTHEQ) 1, 0 < y. We obtain results on convergence of the eigenfunction expansion resulting from separation of variables. Results are shown when the summability method of Riesz Typical Means is applied to the resulting series and L('p) norm convergence results are given. St. Venant's principle is exhibited along with semi-group properties of solutions and then all results are applied to rectangular regions. Made available in DSpace on 2014-12-16T06:18:10Z (GMT). No. of bitstreams: 1 8502093.pdf: 2668882 bytes, checksum: 60c7e12ac09bb300d8f2ecdfd4151442 (MD5) Previous issue date: 1984 Embargo set by: Seth Robbins for item 71388 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 151 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984. http://hdl.handle.net/2142/71222 (UMI)AAI8502093 Mathematics Convergence Properties of the Eigenfunction Expansion of the Biharmonic Equation on Rectangular and Semi-Infinite Strips text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.