Analytic solutions of a second-order functional differential equation with a state derivative dependent delay
Volume 79 / 1999
Colloquium Mathematicum 79 (1999), 273-281
DOI: 10.4064/cm-79-2-273-281
Abstract
This paper is concerned with a second-order functional differential equation of the form $x''(z)=x(az+bx'(z))$ with the distinctive feature that the argument of the unknown function depends on the state derivative. An existence theorem is established for analytic solutions and systematic methods for deriving explicit solutions are also given.
