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15.—A Class of Focal Points for Non-self-adjoint Fourth-order Differential Equations

Published online by Cambridge University Press:  14 February 2012

Kurt Kreith
Kurt Kreith
Affiliation:
Chelsea College, University of London*
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Synopsis

Conjugate points are defined in terms of solutions of a linear fourth-order differential equation satisfying two homogeneous boundary conditions at x = α and either u(β) = u′(β) = 0 or u′(γ) = u″(γ) = 0. The smallest β > α and γ > α such that these boundary conditions are satisfied by a non-trivial solution of the equation are denoted by η(α) and ῆ-(α), respectively. Upper bounds are established for min [η(α), ῆ(α)] relative to the conjugate points of a self-adjoint differential equation which is majorised by the more general equation under study.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 72 , Issue 3 , 1975 , pp. 207 - 214
Copyright
Copyright © Royal Society of Edinburgh 1975

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References

References To Literature

[1]Kreith, K., 1971 Disconjugacy criteria for nonselfadjoint differential equations of even order, Can. Jl Math., 23, 644–652.Google Scholar
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