Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, I
We consider the half-linear differential equation of the form \[(p(t)|x'|^{\alpha}\mathrm{sgn} x')' + q(t)|x|^{\alpha}\mathrm{sgn} x = 0, \quad t\geq t_{0},\] under the assumption \(\int_{t_{0}}^{\infty}p(s)^{-1/\alpha}ds =\infty\). It is shown that if a certain condition is satisfied...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2021-02-01
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| Series: | Opuscula Mathematica |
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| Online Access: | https://www.opuscula.agh.edu.pl/vol41/1/art/opuscula_math_4104.pdf |