dc.contributor.author KOHN, MERYLE CHERRICK dc.date.accessioned 2018-07-12T18:12:23Z dc.date.available 2018-07-12T18:12:23Z dc.date.issued 1982 dc.identifier.citation Source: Dissertation Abstracts International, Volume: 43-04, Section: B, page: 1132. dc.identifier.uri https://yulib002.mc.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 dc.identifier.uri https://hdl.handle.net/20.500.12202/2804 dc.description.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. dc.publisher ProQuest Dissertations & Theses dc.subject Mathematics. dc.title DIFFERENCE EQUATION METHODS FOR SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS dc.type Dissertation
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