Boundedness of Discrete Volterra Equations

✍ Scribed by Maria Rosaria Crisci; Vladimir B Kolmanovskii; Elvira Russo; Antonia Vecchio

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 241 KB
• Volume: 211
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1997.5430

✦ Synopsis

Investigation of the boundedness of the solutions of Volterra equations with discrete time by means of the direct Liapunov method and comparison theorems is performed. Boundedness conditions of solutions of some particular classes of equations are derived. Using such conditions, stability of Direct Quadrature methods for second kind Volterra equations is analyzed.