- Turkish Journal of Mathematics
- Vol: 42 Issue: 4
- Integral representation for solutions of the pseudoparabolic equation in matrix form
Integral representation for solutions of the pseudoparabolic equation in matrix form
Authors : Yeşim Sağlam Özkan, Sezayi Hizliyel
Pages : 1655-1669
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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