Details

Autor(en) / Beteiligte

• Grace, S.R

Titel

Comparison theorems for forced functional differential equations

Ist Teil von

• Journal of mathematical analysis and applications, 1989-11, Vol.144 (1), p.168-182

Ort / Verlag

San Diego, CA: Elsevier Inc

Erscheinungsjahr

1989

Link zum Volltext

Quelle

Elsevier Journal Backfiles on ScienceDirect (DFG Nationallizenzen)

Beschreibungen/Notizen

• In this paper we establish comparison results by which oscillating and asymptotic properties of solutions of forced differential equations with diviating arguments of the form d dt 1 a n − 1(t) d dt … d dt 1 a 1(t) d dt x(t) + H(t, x[g(t)]) = Q(t) (∗) are inherited from the same properties of solutions of the unforced ordinary equation d dt 1 a n − 1(t) d dt … d dt 1 a 1(t) d dt x(t) + H(t, x(t)) = 0. (∗∗) The obtained results extend the oscillation criteria of Trench and Kusano and Naito to the more general equation (∗).