Geodesic
Analytic solutions of a second-order functional differential equation with a state derivative dependent delay
Colloquium Mathematicum, Tome 79 (1999) no. 2, pp. 273-281 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm-79-2-273-281
Keywords: analytic solution, functional differential equation

Jian-Guo Si 1 ; Xin-Ping Wang 1

1 
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Jian-Guo Si; Xin-Ping Wang. Analytic solutions of a second-order functional differential equation with a state derivative dependent delay. Colloquium Mathematicum, Tome 79 (1999) no. 2, pp. 273-281. doi: 10.4064/cm-79-2-273-281

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