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On the Solutions of Finite Dimensional Time-invariant Transport Equations

✍ Scribed by Alan Ping-I Wang

Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
359 KB
Volume
288
Category
Article
ISSN
0016-0032

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✦ Synopsis

The solution8 of finite-dimensional time-invariant transport equations are corzszdered. With the aid of an auxiliary equation the given equation is shown to be equivalent to a pair of coupled linear equations. Further, any four distinct solutions of a transport equation are related to the solution of the auxiliary equation. For stationary processes with dimension one, this result reduces to that on the classic Riccati's equation. Results presented here are being generalized by R. M. Redheffer and the writer in an

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