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The impact of unbounded swings of the forcing term on the asymptotic behavior of functional equations

Bhagat Singh (2000)

Czechoslovak Mathematical Journal

Necessary and sufficient conditions have been found to force all solutions of the equation ( r ( t ) y ' ( 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 Δ y ( | x | ) + a ( | x | ) h ( y ( g ( | x | ) ) ) = f ( | x | ) where Δ is the Laplace operator and p 3 is an integer.

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