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A proof of characterisation of oscillation for higher-order neutral differential equations of mixed type by the Laplace transform
Published online by Cambridge University Press: 14 November 2011
Extract
Consider the general expression of such equations in the form
where Ai, Bj, ∊ ℝ, δo = 0 dn/ 0, dn are n-derivatives, n ≧ l, the σj'S and δj,'s respectively, are ordered as an increasing family with possibly positive and negative terms. These are the deviating arguments. In this paper, we provide a proof of this result based on the use of the Laplace transform. Our method involves new results regarding the exponential growth of positive solutions for such equations.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 5 , 1994 , pp. 909 - 916
- Copyright
- Copyright © Royal Society of Edinburgh 1994
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