Green's function for a differential equation with a deviating argument

Autor: I. N. Inozemtseva, S. A. Pak, Yu. V. Komlenko
Rok vydání: 1975
Předmět:
Zdroj: Mathematical Notes of the Academy of Sciences of the USSR. 17:259-262
ISSN: 1573-8876
0001-4346
Popis: A method for constructing the Green's function for a differential equation with a deviating argument is proposed, and the boundary-value problemx′'(t)+p (t) σ (t) x (h (t)) = f (t), t e [a, b], x(a) = x(b) = 0 is used as an example. The method increases the possibilities for construction of Green's functions compared to the present methods, including the possibilities for representation of the Green's function in terms of the Cauchy function.
Databáze: OpenAIRE