General reproductive solutions of Postian equations

✍ Scribed by Dragić Banković

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 188 KB
• Volume: 169
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/s0012-365x(97)87039-2

✦ Synopsis

Serfati proved that for an arbitrary Postian consistent equation there exists a family of fundamental (particular) solutions which enable to determine a general reproductive solution of such equation. Rudenu gave, explicitly, the formulas of fundamental solutions. In this paper we give the formulas of a class of general reproductive solutions of Postian equations, including Rudeanu's formulas.