Functional equations and a theoretical model of DLTS. (English) Zbl 0848.39005

Tryhuk, Václav

Appl. Math., Praha 40, No. 6, 473-482 (1995).

The author offers an account of an application of the Pexider equation \(C(v+ w)= D(v) C(w)\) and of homogeneous functions of degree \(p\) (if \(p=0\), he calls them just “homogeneous functions”) to deep level transient spectroscopy.
(Note: With every solution \(C\) of author’s equation (11) (essentially the above Pexider equation), also \(KC\) is a solution with any constant \(K\). Thus also \(C(u)= K \exp (-ku)\) (\(K>0\), \(k>0\) arbitrary; the author has \(K=1\)) is a decreasing positive solution. It is easy to see that this is the general such solution).

Reviewer: J.Aczél (Waterloo / Ontario)

MSC:

39B22	Functional equations for real functions
78A55	Technical applications of optics and electromagnetic theory

Keywords:

Pexider equation; homogeneous functions; deep level transient spectroscopy; capacitance; spectrum

References:

[1]	J. Aczél: Lectures on Functional Equations and Their Applications. Academic Press, New York and London, 1966. · Zbl 0139.09301
[2]	F. Neuman: Global Properties of Linear Ordinary Differential Equations. Academia, Praha, 1991. · Zbl 0784.34009
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