Existence of solutions for equations involving iterated functional series.

Murugan, V.; Subrahmanyam, P.V.

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In this paper, the general ordinary quasi-differential expression $M_{p}$ of $n$ -th order with complex coefficients and its formal adjoint $M_{p}^{+}$ on any finite number of intervals $I_{p} = (a_{p}, b_{p})$ , $p = 1, \dots, N$ , are considered in the setting of the direct sums of $L_{w_{p}}^{2} (a_{p}, b_{p})$ -spaces of functions defined on each of the separate intervals, and a number of results concerning the location of the point spectra and the regularity fields of general differential operators generated by such expressions are obtained. Some of these are extensions...

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