The half-linear difference equations with the deviating argument Delta(a(n)vertical bar Delta x(n)vertical bar(alpha) sgn Delta x(n)) + b(n)vertical bar x(n+q)vertical bar(alpha) sgn x(n+q) = 0, q epsilon Z are considered. We study the role of the deviating argument q, especially as regards the growth of the nonoscillatory solutions and the oscillation. Moreover, the problem of the existence of the intermediate solutions is completely resolved for the classical half-linear equation (q = 1). Some analogies or discrepancies on the growth of the nonoscillatory solutions for the delayed and advanced equations are presented; and the coexistence with different types of nonoscillatory solutions is studied.

On the growth of nonoscillatory solutions for difference equations with deviating argument / M. CECCHI;Z. DOSLA;M. MARINI. - In: ADVANCES IN DIFFERENCE EQUATIONS. - ISSN 1687-1839. - ELETTRONICO. - 2008, Article ID 505324, 15 pages:(2008), pp. 0-0. [10.1155/2008/505324]

On the growth of nonoscillatory solutions for difference equations with deviating argument

MARINI, MAURO
2008

Abstract

The half-linear difference equations with the deviating argument Delta(a(n)vertical bar Delta x(n)vertical bar(alpha) sgn Delta x(n)) + b(n)vertical bar x(n+q)vertical bar(alpha) sgn x(n+q) = 0, q epsilon Z are considered. We study the role of the deviating argument q, especially as regards the growth of the nonoscillatory solutions and the oscillation. Moreover, the problem of the existence of the intermediate solutions is completely resolved for the classical half-linear equation (q = 1). Some analogies or discrepancies on the growth of the nonoscillatory solutions for the delayed and advanced equations are presented; and the coexistence with different types of nonoscillatory solutions is studied.
2008
2008, Article ID 505324, 15 pages
0
0
M. CECCHI;Z. DOSLA;M. MARINI
File in questo prodotto:
File Dimensione Formato  
MM_082_ADE08_Intermedie_discreto.pdf

accesso aperto

Tipologia: Versione finale referata (Postprint, Accepted manuscript)
Licenza: Open Access
Dimensione 206.46 kB
Formato Adobe PDF
206.46 kB Adobe PDF

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/337947
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 8
social impact