A critical comparison of experimental data and theoretical calculations of the relative strengths for populating the Ar 11 *Se states following high-energy photoionisation ( y , e) and binary (e, 2e) processes is presented. There is a difference in reported pole strengths (peak areas) of the discrete Ar II states (formed by the ejection of a 3s electron) derived from the two techniques. In addition, the lack of strength in the Ar 11 continuum (i.e. for A?++ e) reported in the ( y, e) experiments is in contrast with theoretical calculations and binary (e, 2e) experiments. The possible problems of background subtraction in the ( y , e) experiment are discussed and it is noted that if the background function is determined in a region of the spectrum where considerable strength in the double ionisation continuum exists, the relative strengths for the satellite lines will be systematically underestimated. It is shown that removal of this defect in the interpretation of the ( 7 , e) experiment should result in smaller discrepancies between the ( y , e) and binary (e, 2e) measurements.

We establish conditions required for the existence and uniqueness of bounded solutions of the Main Notation, Object of Investigation, and ResultsBy C 0 we denote a Banach space of functions x = x(t) continuous and bounded in R and taking values from R with normBy C 1 we denote a Banach space of functions x C ∈ 0 such that the derivative of each function is an element of the space C 0 with normFurther, by C we denote the set of all continuous functions y : R → R, M is the set of all strictly monotone functions g : R → R such that the set of values R g ( ) of each of these functions coincides with R, and F is the set of all continuous functions g : R → R such that, for each of these functions, R g ( ) = R and lim ( )An operator L : C 1 → C 0 is defined as follows:where x

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