Asymptotic behavior of solutions to half-linear -difference equations.
Řehák, Pavel (2011)
Abstract and Applied Analysis
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Displaying similar documents to “Regularly varying solutions of second-order difference equations with arbitrary sign coefficient.”
Asymptotic behavior of solutions to half-linear -difference equations.
Second order linear -difference equations: nonoscillation and asymptotics
Pavel Řehák (2011)
Czechoslovak Mathematical Journal
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The paper can be understood as a completion of the -Karamata theory along with a related discussion on the asymptotic behavior of solutions to the linear -difference equations. The -Karamata theory was recently introduced as the theory of regularly varying like functions on the lattice with . In addition to recalling the existing concepts of -regular variation and -rapid variation we introduce -regularly bounded functions and prove many related properties. The -Karamata theory...
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W. Matuszewska (1962)
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