This thesis is concerned with the asymptotic behaviour of solutions of the differential-difference equation:- w'(s) = g(s)[w(s - 1) - w(s)] where g(s) is a continuous real-valued function. g(s) is assumed to have one of the following asymptotic behaviours <ul><li> algebraic</li><li>exponential algebraic</li><li>constant</li><li>zero</li><li>periodic</li></ul> Chapter 2 covers the behaviour of solutions as s→ + ∝ for g(s) ≥ 0. Chapter 3 covers the behaviour of solutions as s→ + ∝ for g(s) ≤ 0. Chapter 4 covers s→ - ∝ and g(s) ≥ 0. Chapter 5 covers s→ - ∝ and g(s) ≤ 0.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:472953 |
| Date | January 1973 |
| Creators | Slater, Gil |
| Publisher | University of Oxford |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://ora.ox.ac.uk/objects/uuid:d93c4f64-2218-475b-931c-26c5d7ee49f5 |
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