Integral representation for solutions of the pseudoparabolic equation in matrix form

Authors : Yeşim Sağlam ÖZKAN, Sezayi HIZLIYEL

Pages : 1655-1669

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, an integral representation is given for special bounded solutions of pseudoparabolic equations of the form $$ Lw:=\frac{\partial}{\partial t}\leftinsert ignore into journalissuearticles values(w_{\overline \phi}+aw+b\overline{w} \right); +cw+d\overline{w} $$ by means of a generating pair of the corresponding class of the generalized $Q$-holomorphic functions in $L_{p,2}insert ignore into journalissuearticles values(\mathbb{C});$, for $p>2$, where $a,\ b, \ c, \ d$ are functions of $z$ alone.
Keywords : Cauchy type integral representation, generalized Beltrami systems