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On the separation property of symmetric ordinary fourth-order differential expressions
Published online by Cambridge University Press: 14 November 2011
Synopsis
Conditions are given on the coefficients p, q and r of the fourth-order, symmetric differentia expression
where y ∈ L2(0, ∞) and L[y] ∈ L2(0, ∞), such that some or all of the individual terms in L[y] are also in L2(0, ∞).
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 86 , Issue 3-4 , 1980 , pp. 255 - 259
- Copyright
- Copyright © Royal Society of Edinburgh 1980
References
1Everitt, W. N.. On the limit-point classification of fourth-order differential equations. J. Lond. Math. Soc. 44 (1969), 273–231.CrossRefGoogle Scholar
2Everitt, W. N. and Giertz, M.. Some properties of the domains of certain differential operators. Proc. Lond. Math. Soc. (3) 23 (1971), 301–24.CrossRefGoogle Scholar
3Everitt, W. N. and Giertz, M.. On some properties of the powers of a formally self-adjoint differential expression. Proc. Lond. Math. Soc. (3) 24 (1972), 149–170.CrossRefGoogle Scholar
4Krishna Kumar, V.. The strong limit-2 case of fourth-order differential equations. Proc. Roy. Soc. Edinburgh Sect. A 71 (1974), 297–304.Google Scholar
5Das, Jyoti and Dey, Jayasri. On the separation property of symmetric ordinary second-order differential expressions. Quaestiones Math. 1 (1976), 145–154.CrossRefGoogle Scholar