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On the Eigenfunction Expansion associated with Complex-valued Fourth-order Differential Equation
J CHAUDHURI, V K KUMAR
Published in -
1976
Volume: 75
   
Issue: 4
Pages: 325 - 332
Abstract
The direct convergence theory of eigenfunction expansions associated with boundry value problems, not necessarily self-adjoint, generated from complex-valued fourth-order symmetric ordinary differential expressions on semi-infinite intervals, is discussed. An admissible class of functions for the expansion is characterised. Also a generalisation of Stieltjes representation theorem for analytic functions discussed in [13, §§ 22.23 and 24] is obtained. © 1976, Royal Society of Edinburgh. All rights reserved.
About the journal
JournalProceedings of the Royal Society of Edinburgh: Section A Mathematics
Publisher-
ISSN0308-2105