Oscillation and nonoscillation of solutions to even order self-adjoint differential equations
We establish oscillation and nonoscilation criteria for the linear differential equation $$ (-1)^nig(t^alpha y^{(n)}ig)^{(n)}- frac{gamma_{n,alpha}}{t^{2n-alpha}}y=q(t)y,quad alpha otin {1, 3, dots , 2n-1}, $$ where $$ gamma_{n,alpha}=frac{1}{4^n}prod_{k=1}^n(2k-1-alpha)^2 $$ and $q$ is a real-valu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2003-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/115/abstr.html |