Existence and uniqueness of positive solutions to a linear transport equation in a metric space

✍ Scribed by A. Majorana

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 379 KB
• Volume: 10
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(97)00104-3

✦ Synopsis

The linear functional equation &.z = L(z) -TL is considered. The linear operator L acts on a linear metric space of real functions z depending on t and on a parameter w belonging to a subset of Wm. The existence and uniqueness to a nonnegative solution of the initial value problem is shown. An application to a kinetic equation is performed.