| Abstract: |
| A second order nonlinear differential equation with inhomogeneous differential operator $\Phi,$ which is regularly varying at zero, is considered. The operator $\Phi$ can be viewed as an extension of the $p$-Laplacian operator and arises in many physical problems, as we will illustrate by several examples.
In particular, the existence of global positive bounded solutions on the half-line with the Neumann type boundary conditions is studied by means of an abstract fixed point theorem and certain properties of an associated half-linear equation. The results do not require the explicit form of the inverse operator of $\Phi$, and are completed by an asymptotic analysis of these solutions near infinity. |
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