Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the "smallest solutions in a neighborhood of infinity," like in the linear case. Other asymptotic properties of recessive and dominant solutions are treated too.
Nonoscillatory half-linear difference equations and recessive solutions / M. CECCHI;Z. DOSLA; M. MARINI. - In: ADVANCES IN DIFFERENCE EQUATIONS. - ISSN 1687-1839. - STAMPA. - 2:(2005), pp. 193-204. [10.1155/ADE.2005.193]
Nonoscillatory half-linear difference equations and recessive solutions
MARINI, MAURO
2005
Abstract
Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the "smallest solutions in a neighborhood of infinity," like in the linear case. Other asymptotic properties of recessive and dominant solutions are treated too.File in questo prodotto:
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