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The Picone identity for self-adjoint differential equations of even order

Part of:General theory in ordinary differential equations

Published online by Cambridge University Press:  26 February 2010

M. S. P. Eastham
M. S. P. Eastham
Affiliation:
Chelsea College, Manresa Road, London, S.W.3.
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Extract

The Picone identity which occurs in the oscillation theory of second-order ordinary differential equations is

MSC classification

Secondary:34A30: Linear equations and systems, general

Information

Type
Research Article
Information
Mathematika , Volume 20 , Issue 2 , December 1973, pp. 197 - 200
Copyright
Copyright © University College London 1973

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References

1. Coppel, W. A., Disconjugacy (Lecture Notes in Mathematics, No. 220, Springer-Verlag, 1971).CrossRefGoogle Scholar
2. Eastham, M. S. P., Theory of ordinary differential equations (Van Nostrand Reinhold, 1970).Google Scholar
3. Kreith, K., Oscillation theory, Lecture Notes in Mathematics, No. 324 (Springer-Verlag, 1973).CrossRefGoogle Scholar
4. Leighton, W., “Quadratic functionals of second order”, Trans. Amer. Math. Soc., 151 (1970), 309–322.CrossRefGoogle Scholar
5. Cimmino, G., “Estensione dell'identità di Picone alla più generale equazione differenziale lineare ordinaria autoaggiunta”, Atti Accad. Lincei Rend., 28 (1939), 354–364.Google Scholar