02549cam a2200529Ii 4500102755777MiAaHDL20250726000000.0m d cr bn ---auaua080509s1961 pau bt f000 0 eng dTR34DTICEAD0261985(MiU)990168844190106381sdr-miu.990168844190106381(MiU)MIU01000000000000016884419-goog(OCoLC)227266250(MiU)Aleph016884419DTICEengDTICEOCLCQTRAALMAIND 301.45/1083Sreedharan, V. P.author.Function theoretic solutions of certain boundary-value problems / V. P. Sreedharan, Carnegie Institute of Technology, Department of Mathematics.Pittsburgh, Pennsylvania :Carnegie Institute of Technology, Department of Mathematics,1961.39, 4 pages ;28 cmtexttxtrdacontentunmediatednrdamediavolumencrdacarrierAir Force Office of Scientific Research ;AFOSR 1083.July, 1961.Technical Report No. 34 prepared under Contract No. AF 49(638)-227; Division File No. 1.17.Mathematics Division, Air Force Office of Scientific Research.Includes bibliographic references.APPROVED FOR PUBLIC RELEASE.The domains of analyticity of solutions of the equation delta u! k square times u equals 0 in two independent variables are studied with a view to solving boundary-value problems in the large. The boundary value problems are transformed into function theoretic problems. Specifically the Sommerfeld half-plane problem for delta u! K square times u equals 0 is solved. A related result on integral equations is obtained. Green's functions for a wedge with various boundary conditions are constructed in the case of the equation delta u! k square times u equals 0. (Author).Mode of access: Internet.Operators(mathematics)dtictWedges.Sound.Numerical integration.Integrals.Inequalities (Mathematics)Green's functions.Functions.Diffraction.Bessel functions.Differential equations, Partial.Integral equations.United States.Air Force.Office of Scientific Research.Carnegie Institute of Technology.Technical Report Archive & Image Library (TRAIL)3901509524982010275577720250726000000.020260307165459.02026-03-08T10:46:38Z2025-01-24T18:30:02ZSDR-MIUmiuALMAprepare.pl-004-009BKsdr-miu.990168844190106381MiUSDRGWLA016884419mdp.39015095249820MIU990168844190106381MIUGWLA20260308googlemdp.390150952498201961pdbibUS fed doc