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Ordinary Differential Equations THE AMERICAN MATHEMATICAL SOCIETY Edited by John W. Green and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings • . • • • • • • • • . • • • • • • • • • • • • • • • • • • • . • • 608 The November Meeting in Atlanta, Georgia • • • • . • • • • • • • . • • • • 609 Abstracts of the Meeting - pages 643-650 The November Meeting in Pasadena, California • • • • • . • • • • • . • • • • 613 Abstracts of the Meeting - pages 651-660 The November Meeting in Madison, Wisconsin • • • • • • • . • • • • • • • • 619 Abstracts of the Meeting - pages 661-667 PRELIMINARY ANNOUNCEMENT OF MEETING. • • • • • • . • • • • • • • . • • • • 622 NATIONAL ACADEMY OF SCIENCES - NATIONAL RESEARCH COUNCIL.. • . • 625 NEW NSF POLICIES AND THEIR IMPLEMENTATION. 0 ••• 0 ••••••••• 0 • • • 627 THE VEBLEN PRIZE •.•.•••••.•••••• o o ••• o •••••• 0 • • • • • • • • • • • • 629 NOTES FOR SPEAKERS ••••••.••••..••••••• 0 ••••••••• 0 • • • • • • • • 630 VISITING FOREIGN MATHEMATICIANS • • • • • • . • . • . • • • • • • • • • • • • • • • . 631 NEW AMS PUBLICATIONS •••••.••• 0 • • • • • • • • • • • • • • • • • • • • • • • • • • • 636 PERSONAL ITEMS • • • • • . • • • . • • • • • • • . • . • . • • • . • • • • . • • • • • • • • . • 638 NEWS ITEMS AND ANNOUNCEMENTS •••••••..••.•••••••••••••• QL2,6"18,624 MEMORANDA TO MEMBERS The Employment Register ••••••••••••.•.•.•••. 0 • • • • • • •• 621 Retired Mathematicians • • • • • • • . •••.•••••••••••• 0 • • • • • • 62 9 Sum:mer Employment Opportunities • • . • • • . • • • • • . • • • . • • • . • 642 SUPPLEMENTARY PROGRAM- No. 21 •••••••...••• 0 ••••••••••••••• 641 ABSTRACTS OF CONTRIBUTED PAPERS ••• 0 ••••••• 0 ••••••• 0 ••••• 0 643 INDEX TO ABSTRACTS - Volume 10 •••••••••••••••••••••••••••.. 0 676 INDEX - Volume 10 • • . • • • • • • • • • • • • • • • • • • • • . • . • • • • • • • • • • • • • . • 697 INDEX TO ADVERTISERS •••••••••••••.•.••••.• 0 • • • • • • • • • • • • • •• 703 RESERVATION FORM .•••. 0 ••••••••••••••••••••• 0 •••••••••••• 703 MEETINGS Calendar of Meetings NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the NOTICES was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change. This is particularly true of the meetings to which no numbers have yet been assigned. Meet Deadline ing Date Place for No. Abstracts* 608 January 23-27, 1964 (70th Annual Meeting) Miami, Florida Nov. 26 609 February 29, 1964 New York, New York Jan. 16 610 April 18, 1964 Reno, Nevada Mar. 5 611 April 20-23, 1964 New York, New York Mar. 5 612 April 24-25, 1964 Chicago, illinois Mar. 5 613 June 20, 1964 Pullman, Washington May 7 614 August 24-28, 1964 (69th Summer Meeting) Amherst, Massachusetts July 3 January 25-29, 1965 (71st Annual Meeting) Denver, Colorado August 30 - September 3, 1965 (70th Summer Meeting) Ithaca, New York August 1966 (71st Summer Meeting) New Brunswick, New Jersey August, 1967 (72nd Summer Meeting) Toronto, Canada * The abstracts of papers to be presented in person at the meetings must be received in the Head­ quarters Offices of the Society in Providence, Rhode Island, on or before these deadlines. The dead­ lines also apply to news items. The next two deadline dates for by title abstracts are January 9, and February 27, 1964. ------~·~-·~----- The NOTICES of the American Mathematical Society is published by the Society in January, February, April, June, August, October and November. Price per annual volume is $7.00. Price per copy $2.00. Special price for copies sold at registration desks of meetings of the Society, $1,00 per copy. Subscriptions, orders for back numbers (back issues of the last two years only are available) and inquiries should be addressed to the American Mathematical Society, 190 Hope Street, Providence, Rhode Island 02906. Second-class postage paid at Providence, Rhode Island, and additional mailing offices. Authorization is granted under the authority of the act of August 24, 1912, as amended by the act of August 4, 1947 (Sec. 34, 21, P.L. and R.). Accepted for mailing at the special rate of postage provided for in section 34,40, paragraph (d). Copyright© 1963 by the American Mathematical Society Printed in the United States of America Six Hundred Fifth Meeting Georgia Institute of Technology Atlanta, Georgia November 15-16, 1963 PROGRAM The six hundred and fifth meeting ACCOMMODATIONS of the American Mathematical Society will Since there are other meetings and be held at the Georgia Institute of Technol­ conferences in Atlanta at that time, all ogy on Friday and Saturday, November 15 requests for accommodations should be and 16, 1963. The Georgia Institute of Tech­ mailed to: Convention Housing Bureau, nology is at 225 North Avenue in Atlanta, American Mathematical Society, 1102 Georgia. Atlanta is on Eastern Standard Commerce Building, Atlanta, Georgia, Time. 30303. All requests will receive prompt By invitation of the Committee to confirmaton. Following is the list of Select Hour Speakers for Southeastern hotels and motels: Sectional Meetings, Professor Fred B. Wright of the Tulane University of Louisi­ ana will speak on "Invertible elements in Banach Algebras" at 2:00 P.M., Friday, Atlanta Americana November 15. Professor Wright's address Motor Hotel Single $11.00 $14.00 will be in the Auditorium of the A. French Double 14.00 18.00 Textile School. Twin 16.00 20.00 be a session for contrib­ There will Atlanta Cabana afternoon at 3:30 uted papers on Friday Motel Single 11.00 13,00 at P.M. and Saturday morning beginning Double 14.00 16.00 the papers to be 10:00 A.M. Abstracts of Twin 16.00 17.00 presented appear on pages 643-650 of these NOTICES. The titles with corres­ Atlantan Hotel Single 6.00 8.50 ponding numbers are listed in this Pro­ Double 8.50 10.00 gram. Twin 10.00 11.50 Desk will be lo­ The Registration Dinkier Plaza cated in the lower lobby of Price Gilbert Hotel Single 7.00 15.00 Library and will open at 12:30 P.M. Friday. Double 10.00 15.00 Following the sessions there will be Twin 14.00 18.00 a Cocktail Party from 5:00 until 7:00P.M., at the Progressive Club 1050 Techwood Howard Johnson Drive, N. W. A" cash bar" will be operated. Motor Lodge, Single 9.00 12.00 It is recommended that public trans­ N.W. Double 11.00 13.00 portation be used from the hotels to the Twin 12.00 15.00 Georgia Tech campus. Anyone desiring to Peachtree Manor park on the campus should apply ahead of Motel Single 6.00 8.00 time to Professor Bertram M. Drucker, Double 9.00 11.00 Department of Mathematics, Georgia Insti­ Twin 9.00 12,00 tute of Technology, 30332, for a permit to park on the campus. Parking without a Piedmont Hotel Single 6.50 10.50 permit may cause the off-hauling of the Double 10.50 13.50 car. Twin 12.50 16.00 609 TRAVEL Southern, T. W .A., and United Airlines, and Atlanta is served by Delta, Eastern, by the Central of Georgia, Georgia, L and Northwest Orient, Piedmont, Southeastern, N, Seaboard, and Southern Railroads. PROGRAM OF THE SESSIONS The time limit for each contributed paper is ten minutes. The contributed papers are sche­ duled at 15 minute intervals so that the listeners can circulate between the different sessions. To maintain this schedule, the time limit will be strictly enforced. FRIDAY, 2.:00 P.M. Invited Address. Auditorium of the A. French Textile School, Georgia Institute of Tech­ nology Campus Invertible elements in Banach Algebras Professor Fred B. Wright, Tulane University of Louisiana FRIDAY, 3:30 P.M. Session on Analysis and Applied Mathematics, Classroom 2.49, Annex to Library 3:30 - 3:40 (1) Characterization of regular Hausdorff moment sequences Professor J. S. Mac Nerney, University of North Carolina {605-1) 3:45 - 3:55 (2.) Fixed points in gouged convex sets Dr. G. S. Jones, RIAS, Baltimore, Maryland {605-4) 4:00 - 4:10 {3) Uniform bases and the equicontinuity of projections associated with Schauder decompositions Professor C. W. McArthur and Mr. J. R. Retherford*, Florida State Uni­ versity, (605-5) 4:15 - 4:2.5 (4) On the representation of bilinear functionals Professor R. C. Bzoch, Louisiana State University (605-13) 4:30 - 4:40 (5) Some relationships between stability and truncation error for a class of nine­ point analogues of the one-dimensional heat equation Professor J. M. Gwynn, Jr., Georgia Institute of Technology (605-14) FRIDAY, 3:30P.M. Session on Topology and Algebra, Wilby Room 3:30 - 3:40 (6) Representations of a semigroup Mrs. R. S. Cox, University of North Carolina (605-2.) 3:45 - 3:55 (7) Homomorphisms of d-simple inverse semigroups with identity. II Professor R. J. Warne, Virginia Polytechnic Institute (605-3) *For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting. 610 4:00 - 4:10 (8) Inverse dimension type. I. Types in the real line Professor Jack Segal, Institute for Advanced Study (605-6) 4:15 - 4:25 (9) Upper semi-continuous collections filling up hereditarily indecomposable continua Professor Howard Cook, Auburn University (605-7) 4:30 - 4:40 ( 1 0) Primary ideals and valuation ideals Professor R. W. Gilmer, Jr. *• Florida State University and Professor J. E. Olm, University of Wisconsin (605-8) 4:45 - 4:55 ( 11) A note on torsion-free rings Professor F. L. Hardy, Emory University (605-9) 5:00 - 5:10 (12) Two functions related to the k-free integers Professor Eckford Cohen, University of Tennessee (605-1 0) SATURDAY, 10:00 A.M. Session on Topology and Geometry, Wilby Room 10:00 - 10:10 (13) Idempotents in semigroups on a half-space Professor J. G. Horne, Jr., University of Georgia (605-11) 10:15- 10:25 ( 14) Common fixed points of commuting continuous functions on the unit interval. Preliminary report Professor J. E. Maxfield, and Professor W. J. Howe*, University of Florida (605-12) 10:30 - 10:40 ( 15) On Topological translations in En Professor R. D. Anderson, Louisiana State University (605-15) 10:45 - 10:55 (16) Area in a non-euclidean geometry. Preliminary report Professor R. G. Vinson, Huntington College (605-18) 11:00- 11:10 (17) Slicing a contractible 3-manifold with boundary Dr.
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