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Nonlinear Integral Equations OF THE AMERICAN MATHEMATICAL SOCIETY VOLUME 11, NUMBER 4 ISSUE NO. 75 JUNE 1964 OF THE AMERICAN MATHEMATICAL SOCIETY Edited by John \V. Green and Gordon L. 'Valker CONTENTS MEETINGS Calendar of Meetings ••.•••••••••••••••••••••.•.•••••.••• 408 Program of the june Meeting in Pullman, Washington •••••• , •••••••• 409 Abstracts for the Meeting - Pages 442-444 PRELIMINARY ANNOUNCEMENT OF MEETING ••••••••.••••••••.•••• 411 MEMORANDA TO MEMBER:> The Employment Register •••••••••••••••••••.••.•••••• , , •. 414 Announcement of Changes in the Combined Membership List , • , ••••••• 414 DOCTORATES CONFERRED IN 1963 •••••••••••••.•••••••••••••••• 415 LETTERS TO THE EDITOR ••••••••••••• o • ,· •••••••••••••••••• , • 433 PERSONAL ITEMS ••••••••••••••• o •••••••••••••••••••••••••• 435 NEWS ITEMS AND ANNOUNCEMENTS ••••••••••••••••••••••••••••• 437 SUPPLEMENTARY PROGRAM - Number 25 ••••••••••••••••••••••••• 438 ACTIVITIES OF OTHER ASSOCIATIONS •••••••••••••••••••••••••••• 441 ABSTRACTS OF CONTRIBUTED PAPERS..... • • • • • • • • • • • • • • • • • • • • • 442 ERRATA ................................................. 470 INDEX TO ADVERTISERS • • • • . • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 475 RESERVATION FORM •••••••••••••••••••••••••.•••••• ,...... 475 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* 614 August 24-28, 1964 (69th Summer Meeting) Amherst, Massachusetts July 3 615 October 24, 1964 Garden City, New York Sept. 10 616 November 14, 1964 Los Angeles, California Sept. 30 617 November 21, 1964 Athens, Georgia Sept. 30 618 November 27-28, 1964 Evanston, Illinois Sept. 30 January 26-30, 1965 (71st Annual Meeting) Denver, Colorado April 9-10, 1965 Chicago, illinois April 12-15, 1965 New York, New York April 24, 1965 Stanford, California August 30-September 3, 1965 (70th Summer Meeting) Ithaca, New York November 12-13, 1965 Lexington, Kentucky January 24-28, 1966 (72nd Annual Meeting) Chicago, Illinois August 29-September 2, 1966 (71st Summer Meeting) New Brunswick, New Jersey January 24-28, 1967 (73rd Annual Meeting) Houston, Texas August 28-September 1, 1967 (72nd Summer Meeting) Toronto, Ontario, Canada August 26-30, 1968 ( 7 3rd Summer Meeting) Madison, Wisconsin *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 June 26, 1964 and September 3, 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.andR.). Accepted for mailing at the special rate of postage provided for in section 34.40, paragraph (d). Copyright© 1964 by the American Mathematical Society Printed in the United States of America 408 Six Hundred Thirteenth Meeting Washington State University Pullman, Washington June 20, 1964 PROGRAM The six hundred thirteenth meeting provided by his parents. Reservations for of the American Mathematical Society will dormitory housing should be sent to Pro­ be held at Washington State University in fessor Wilfred E. Barnes, Department of Pullman, Washington, in conjunction with a Mathematics, Washington State University, joint meeting of the Pacific Northwest Sec­ Pullman, Washington. tion of the Mathematical Association of Rates in Pullman motels are as America and the Society for Industrial and follows (all prices include tax). Applied Mathematics. The Society will Al Kircher's Hilltop Motel and Steak meet on Saturday, June 20, 1964, and the House (Colfax Highway) Association and SIAM will hold their Single $7.28 sessions on Friday, June 19. Double (double bed) 8.84 By invitation of the Committee to Double (twin beds) 10.40 - $12.48 Select Hour Speakers for Far Western Sectional Meetings, there will be an hour Hillside Motel (Lewiston Highway) address by Professor H. G. Eggleston of Single $5.20 the University of London and the Univer­ Double (double bed) 8.32 sity of Washington. Professor Eggleston Double (twin beds) 9.36 will speak at 11:00 P.M. on Saturday, Manor Lodge Motel (505 Paradise) June 20 in Room 175, Sloan Hall. The title Single $6.24 of his talk is "Convex sets of constant Double (double bed) 8.32 width." Double (twin beds) 9.88 Sessions for contributed papers will be held at 9:30 A.M. and at 2:00 P.M. on Saturday. All sessions will be in Room 175 Anyone who wishes to stay in a motel Sloan Hall. Abstracts of the papers to be should write directly and as soon as pos­ presented at these sessions appear on sible to the motel for reservations. pages 442-444 of these NOTICES. There are Breakfast and lunch will be available cross references to the abstracts in the at the Compton Union Building. A no host program. Late papers may be added to the dinner is being arranged for the evening program. Information concerning late pa­ of Friday, June 19. Coffee will be served pers will be available at the Registration on Friday and Saturday in the foyer of Desk, located in the foyer of Sloan Hall. Sloan Hall. Dormitory space will be available Pullman is approximately 80 miles on campus for the nights of June 18, 19 south of Spokane on U. S. Highway 195. and 20. The rates per night are $3.00 for It is served by the Northern Pacific Rail­ a single room and $Z.OO each for a double. way, West Coast Airlines, and the Grey­ No extra charge is made for a child whose hound Bus Company. Ample parking is bedding (e.g. sleeping bag or crib) is available· in college parking areas. 409 PROGRAM OF THE SESSIONS The time li.r!it for each contributed paper is ten minute.:, The contributed paper!:! are scheduled at 15 minute iutervals. _I~ __ .!_l1aintain the S£_hed~ule, th~ time limit will be st:tic.:tly en­ for.;;ed. SATURDAY, 9:30A.M. General_§ession, Room 175, Sloan Hall 9:30 - 9:40 ( 1) Characters of locally compact abelian groups. Preliminary report Professor M. Rajogopalar., Lehigh University (613-6) 9:45 - 9:55 (2) Boundedly divergent sequences in FK-spaces Professor Gunther Go'"s. University of Kansas (613-8) 10:00 - 10:10 (3) Determination of associate functions for Bergman integral operators yielding transonic flow patterns of certain types Professor J. M. Stark, Lamar State College of Technology (613-9) 10:15 - 10:25 (4) Existence theorems for difference and q-difference equations Professor Selmo Tauber, Portland State College (613-7) 10:30 - 10:40 {5) A trunking problem for three channels Dr. S. F. Neustadter, Sylvania Electronic Systems, Waltham, Massachu­ setts (613-10) SATURDAY, 11:00 A.M. lnvited Address, Room 175 Sloan Hall Convex sets of constant width Professor H •. G. Eggleston, University of London and University of Wash­ ington SATURDAY, 2:00P.M. General Sessl011, Room 175, Sloan Hall 2:00 - 2:10 (6) Convex bodies witll preasGigned sum of principal radii of curvature. Prelim­ inary report Professor W, J, Firey, Oregon State University (613-4) 2:15 - 2:25 {7) A new proof of the Bonnicc:-Klee theorem Profc::ssor J, R, Reay, Western Washington State College (613-3) 2:30 - 2:40 {8) Some natural topologies in algebra. Preliminary report P .rofessor D. F. Sander: son, Western Washington State College ( 613-5) 2:45 - 2.:55 (9) The divisibility of Gaussian integers by large Gaussian primes Professor j. H. jordan, Washington State University (613-2) 3:00 - 3:10 {10) Application of Goodstein's solution in solving some diophantine equations Mr. D. R. Rao, Sjtafalmandi, Secunderabad, India (613-1) R. S. Pierce Seattle, Washington Associate Secretary 410 PRELIMINARY ANNOUNCE!\J.ENTS OF l\liEETINGS Sixty-Ninth Summer _Meeting and Forty-Second. ColJoquiotnn University of J\lassachusetts Amherst, _Massachusetts August 25-28, 1964 The A;:nerican Mathematical. Society day morning ant~ afternoon, and Friday will hold its sixty-ninth summer meeti.ng mo:rnJLg auc dternoon. THE NUMBER OF and will present its fort:y·-second Collo­ P II.PER.S T (l BE ACCEPTED WILL NOT quium at the University of Massachusetts F XCEE!J 11:!0, AhAtracts of papers which in Amherst, Massachusetts f:rorn Tuenday ''leet the crj_tcria. of Article X, Section 5 through Friday, August 25-28, 1964. These of the By-Laws will be accepted in order are the same dates aA announced in the of the date of receipt at the office of the April issue of these NOTICES hut a:re ONE Society, of which the address is The Amer­ WEEK EARLIER than dates listed several ic'ln Mathematical Society, 190 Hope months ago in the calendar of meeting,;. Stre~t. Providence, Rhode Island 02906. All sessions will bf' held in lectu.re Tne deadline beyond which abstracts will rooms and classrooms on the campus of not be considered is july 3, 1964. There the University of Massachusetts. wiH be no provision for late papers, Professor Charles B. Morrey of the University of California will present the Colloquium Lectu-res.
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