Nonoscillatory half-linear difference equations and recessive solutions

作者：Cecchi Mariella^*; Dosla Zuzana; Marini Mauro

来源：Advances in Difference Equations, 2005, (2): 193-204.

DOI：10.1155/ADE.2005.193

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.

• 出版日期2005