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Green functions and the property of positivity for singular second orderboundary value problems

In: Tatra Mountains Mathematical Publications, vol. 19, no. 1
Michel Duhoux
Detaily:
Rok, strany: 2000, 1 - 20
O článku:
Considering a singular Sturm-Liouville operator $Lu=-(r(t)uprime)prime+p(t)u$, we define the Green function associated with $L$ and boundary conditions of Dirichlet type (adapted to the singularity). We also show that the Green function exists and is positive if and only if there exists some function $φ >0$ such that $Lφ ≥ 0$. When such a function $φ$ exists, we obtain a maximum principle and an anti-maximum principal similar to those we had already obtained in the special case when $p≥ 0$.
Ako citovať:
ISO 690:
Duhoux, M. 2000. Green functions and the property of positivity for singular second orderboundary value problems. In Tatra Mountains Mathematical Publications, vol. 19, no.1, pp. 1-20. 1210-3195.

APA:
Duhoux, M. (2000). Green functions and the property of positivity for singular second orderboundary value problems. Tatra Mountains Mathematical Publications, 19(1), 1-20. 1210-3195.