Details

Autor(en) / Beteiligte

• Grace, S.R
• Lalli, B.S

Titel

Asymptotic and oscillatory behavior of solutions of a class of second order differential equations with deviating arguments

Ist Teil von

• Journal of mathematical analysis and applications, 1990, Vol.145 (1), p.112-136

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

1990

Link zum Volltext

Quelle

Elsevier Journal Backfiles on ScienceDirect (DFG Nationallizenzen)

Beschreibungen/Notizen

• The asymptotic and oscillatory behavior of solutions of damped nonlinear second order differential equations with deviating arguments of the type (a(t) ψ(x(t)) x ̇ (t)) . + p(t) x ̇ (t) + q(t) + q(t)f(x[g(t)]) = 0 ( . = d/dt) is studied. Criteria for oscillation of all solutions when the damping coefficient “ p” is of constant sign on [ t 0, ∞) are established. Results on the asymptotic and oscillatory behavior of solutions of the damped-forced equation (a(t)ψ(x(t)) x ̇ (t)) . + p(t) x ̇ (t) + q(t)f(x[g(t)]) = e(t) , where q is allowed to change signs in [ t 0, ∞), are also presented. Some of the results of this paper extend, improve, and correlate a number of existing criteria.