Turkish Journal of Mathematics
DOI
10.3906/mat-1705-31
Abstract
In this paper, an integral representation is given for special bounded solutions of pseudoparabolic equations of the form $$ Lw:=\frac{\partial}{\partial t}\left(w_{\overline \phi}+aw+b\overline{w} \right) +cw+d\overline{w} $$ by means of a generating pair of the corresponding class of the generalized $Q$-holomorphic functions in $L_{p,2}(\mathbb{C})$, for $p>2$, where $a,\ b, \ c, \ d$ are functions of $z$ alone.
Keywords
Cauchy-type integral representation, generalized Beltrami systems
First Page
1655
Last Page
1669
Recommended Citation
ÖZKAN, YEŞİM SAĞLAM and HIZLIYEL, SEZAYİ
(2018)
"Integral representation for solutions of the pseudoparabolic equation in matrix form,"
Turkish Journal of Mathematics: Vol. 42:
No.
4, Article 8.
https://doi.org/10.3906/mat-1705-31
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss4/8
