Positivity of the Green functions for higher order ordinary differential equations
We consider the equation $$ sum_{k=0}^n a_k(t)x^{(n-k)}(t)=0,quad tgeq 0, $$ where $a_0(t)equiv 1$, $a_k(t)$ ($k=1, dots, n$) are real bounded functions. Assuming that all the roots of the polynomial $z^n+a_1(t)z^{n-1}+ dots +a_n(t)$ ($tgeq 0$) are real, we derive positivity condition...
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| Format: | Article |
| Language: | English |
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Texas State University
2008-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/97/abstr.html |