On nonoscillation of third order differential equations. (English) Zbl 0815.34022

Parhi, N.; Das, P.

Bull. Inst. Math., Acad. Sin. 22, No. 3, 267-274 (1994).

The authors consider linear differential equations of third order in the form (H) \(L_ 3y = : (r(t)y')'' + q(t)y' + p(t)y = 0\) and associated nonhomogeneous equations (NH) \(L_ 3y = f(t)\), where \(p,q,r,f \in C ([a, \infty), R)\), \(a \in R\) and \(r(t) > 0\). Under other appropriate assumptions sufficient conditions are obtained for nonoscillation of the equation (H) or for (NH). These conditions are related to nonoscillation of certain class of second order homogeneous or nonhomogeneous equations.

Reviewer: P.Marušiak (Žilina)

MSC:

34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34C11	Growth and boundedness of solutions to ordinary differential equations

Keywords:

linear differential equations of third order; nonoscillation