Recessive and dominant solutions for the half-linear difference equation Delta (a(n) Phi (Deltax(n))) = b(n) Phi (x(n)+ 1), where Phi(p)(u) = \u\(p-2)u with p > 1, {a(n)} and {b(n)} are positive real sequences for n greater than or equal to 1, are studied. By the unique solvability of certain boundary value problems, recessive solutions are defined as "smallest solutions in a neighbourhood of infinity". The equivalency with other properties, namely with the Riccati property and the convergence or divergence of a suitable series, is also proved.
On recessive and dominant solutions for half-linear difference equations / M. CECCHI;Z. DOSLA; M. MARINI. - In: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. - ISSN 1023-6198. - STAMPA. - 10:(2004), pp. 797-808. [10.1080/10236190310001634785]
On recessive and dominant solutions for half-linear difference equations
MARINI, MAURO
2004
Abstract
Recessive and dominant solutions for the half-linear difference equation Delta (a(n) Phi (Deltax(n))) = b(n) Phi (x(n)+ 1), where Phi(p)(u) = \u\(p-2)u with p > 1, {a(n)} and {b(n)} are positive real sequences for n greater than or equal to 1, are studied. By the unique solvability of certain boundary value problems, recessive solutions are defined as "smallest solutions in a neighbourhood of infinity". The equivalency with other properties, namely with the Riccati property and the convergence or divergence of a suitable series, is also proved.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.