A Second-Order Delay Differential Equation with Multiple Periodic Solutions

✍ Scribed by Joseph Wiener

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 109 KB
• Volume: 229
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1998.6196

✦ Synopsis

The equation xЉ t q x t s bx t y 1 , where и designates the greatest integer function, can be described in brief by two amazing properties. First, for certain values of the coefficients, some or all of its solutions are monotone although the corresponding homogeneous equation is clearly oscillatory. Second, for a specific relation between and b, there exist periodic solutions with different periods.