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Integral representation for solutions of the pseudoparabolic equation in matrix form
Author(s) -
Yeşim Sağlam Özkan,
Sezayi Hızlıyel
Publication year - 2018
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1705-31
Subject(s) - mathematics , holomorphic function , bounded function , representation (politics) , pure mathematics , matrix (chemical analysis) , class (philosophy) , matrix representation , mathematical analysis , mathematical physics , group (periodic table) , physics , quantum mechanics , materials science , politics , political science , law , composite material , artificial intelligence , computer science
In this paper, an integral representation is given for special bounded solutions of pseudoparabolic equations of the form Lw := ∂ ∂t ( wφ + aw + bw ) + cw + dw by means of a generating pair of the corresponding class of the generalized Q -holomorphic functions in Lp,2(C) , for p > 2 , where a, b, c, d are functions of z alone.

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