Geodesic
Hartman-Wintner type criteria for half-linear second order differential equations
Mathematica Bohemica, Tome 132 (2007) no. 3, pp. 243-256

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We establish Hartman-Wintner type criteria for the half-linear second order differential equation \[ \left(r(t)\Phi (x^{\prime })\right)^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x)=|x|^{p-2}x,\ p>1, \] where this equation is viewed as a perturbation of another equation of the same form.
We establish Hartman-Wintner type criteria for the half-linear second order differential equation \[ \left(r(t)\Phi (x^{\prime })\right)^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x)=|x|^{p-2}x,\ p>1, \] where this equation is viewed as a perturbation of another equation of the same form.
DOI : 10.21136/MB.2007.134124
Classification : 34C10
Keywords: half-linear differential equation; Hartman-Wintner criterion; Riccati equation; principal solution 
Pátíková, Zuzana. Hartman-Wintner type criteria for half-linear second order differential equations. Mathematica Bohemica, Tome 132 (2007) no. 3, pp. 243-256. doi: 10.21136/MB.2007.134124
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