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Half-linear Hartman-Wintner theorems. (English) Zbl 1051.34026

Summary: We present a modified Hartman-Wintner-type theorem for the nonoscillatory half-linear second-order differential equation \[ \bigl (r(t) \Phi_p(x')\bigr)'+ c(t)\Phi_p(x)=0, \quad\Phi_p (x):=| x |^{p-2} x,\;p>2. \]

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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