Geodesic
The impact of unbounded swings of the forcing term on the asymptotic behavior of functional equations
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 1, pp. 15-24 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Necessary and sufficient conditions have been found to force all solutions of the equation \[ (r(t)y^{\prime }(t))^{(n-1)} + a(t)h(y(g(t))) = f(t), \] to behave in peculiar ways. These results are then extended to the elliptic equation \[ |x|^{p-1} \Delta y(|x|) + a(|x|)h(y(g(|x|))) = f(|x|) \] where $ \Delta $ is the Laplace operator and $p \ge 3$ is an integer.
Necessary and sufficient conditions have been found to force all solutions of the equation \[ (r(t)y^{\prime }(t))^{(n-1)} + a(t)h(y(g(t))) = f(t), \] to behave in peculiar ways. These results are then extended to the elliptic equation \[ |x|^{p-1} \Delta y(|x|) + a(|x|)h(y(g(|x|))) = f(|x|) \] where $ \Delta $ is the Laplace operator and $p \ge 3$ is an integer.
Classification : 34K11, 34K25, 35B40, 35J60, 35R10
Keywords: oscillatory; nonoscillatory; exterior domain; elliptic; functional equation 
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Singh, Bhagat. The impact of unbounded swings of the forcing term on the asymptotic behavior of functional equations. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 1, pp. 15-24. http://geodesic.mathdoc.fr/item/CMJ_2000_50_1_a2/

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