×

Über ein abzählbares System gewöhnlicher linearer Differentialgleichungen von Bandstruktur. (On a countable system of ordinary linear differential equations of band structure). (German) Zbl 0734.34016

A countable system of linear differential equations with a band structure is discussed, arising from population dynamics in biology. A uniqueness theorem for the constant coefficient case is given and the nonnegative solution is characterized via an extremality property. For the case of nonconstant coefficients, an existence theorem is given.

MSC:

34A35 Ordinary differential equations of infinite order
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
92D25 Population dynamics (general)
34A30 Linear ordinary differential equations and systems
PDFBibTeX XMLCite