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https://hdl.handle.net/20.500.12202/2804
Title: | Difference equation methods for solution of partial differential equations |
Authors: | Ehrenpreis, Leon Lebow, Arnold Rosenfeld, Norman Kohn, Meryle Cherrick |
Keywords: | Mathematics. |
Issue Date: | 1982 |
Publisher: | ProQuest Dissertations & Theses |
Citation: | Hughes, A. (1982). Difference equation methods for solution of partial differential equations (Publication No. 303250811) [Doctoral dissertation, Yeshiva University] Source: Dissertation Abstracts International, Volume: 43-04, Section: B, page: 1132. |
Abstract: | Difference equation techniques are applied to determine sufficient conditions on polynomials P(x,y) for which the Fischer space related differential equation.;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI).;has (a) no non-trivial solutions f(x,y); (b) locally convergent solutions; and (c) formal solutions; {lcub}where P(x,y) is a polynomial with complex coefficients,;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI).;is the differential operator whose coefficients are the complex conjugates of the coefficients of P, and.;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI).;Solutions of a general difference equation in two dimensions, (SIGMA) K(,i)C(,m+ai, n+bi) = 0 with K(,i) non-vanishing, are analyzed. Particular emphasis is placed on solutions with C(,mn) = 0 in specified regions of the plane.;Difference equations corresponding to the differential equation.;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI).;(where P and Q are polynomials) are examined to determine sufficient conditions on P and Q for which the equation has (a) no non-trivial solution; (b) polynomial solutions; and (c) formal solutions. |
Description: | Doctoral dissertation, PhD / YU only |
URI: | https://ezproxy.yu.edu/login?url=http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:8220406 https://hdl.handle.net/20.500.12202/2804 |
Appears in Collections: | Belfer Graduate School of Science Dissertations 1962 - 1978 |
Files in This Item:
File | Description | Size | Format | |
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Kohn - Difference Equation Methods for Solution of Partial Differential Equations YU only.pdf Restricted Access | 7.32 MB | Adobe PDF | View/Open |
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