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

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).

### MSC:

 39B22 Functional equations for real functions 78A55 Technical applications of optics and electromagnetic theory
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### 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 [3] D.V. Lang: Deep-level transient spectroscopy-A new method to characterize traps in semiconductors. J. App. Phys. 45 (1974), no. 7, 3014-3023. [4] C.R. Crowel, S. Alipanahi: Transient distortion and $$n$$-th order filtering in depth level transient capacitance spectroscopy. Solid-State Electronics 24 (1981), 25-36. [5] I. Thurzo, K. Gmucová: Simple DLTS korelator with improved selectivity. Czechoslovak J. Phys. A 34 (1984), 272-279. [6] J. Thurzo: Research DLTS replay through Walsh-Fourier transformation and synthese DLTS through the filter of highest grades. Czechoslovak J. Phys. A 41 (1991), 354-368. [7] P. Janovský: Possibilities of interpretation of anomalous behavior of DLTS spectra. PhD. thesis, Technical University of Brno - FE, 1989, pp. 112.
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