On certain third order boundary value problems on infinite interval. (English) Zbl 1090.34518

Greguš, Michal jun.

Arch. Math., Brno 36, Suppl., 465-468 (2000).

The author study boundary value problem one of the following two types \[ \begin{gathered} y'''+2A(t)y'+[A'(t)+\lambda b(t)]y=0,\\ y(a)=y(b)=y(c)=0,\;\;\; \lim _{t\to +\infty } y(t)=0,\\ | y(t)| <K,\;\;\;| y'(t)| <K. \end{gathered} \] Obtained result complete those which are in monograph M.Greguš [Third order linear differential equations (D.Reidel Publishing Company, Dordrecht) (1987; Zbl 0602.34005)].

Reviewer: Alexandr Lomtatidze (Brno)

MSC:

34B10	Nonlocal and multipoint boundary value problems for ordinary differential equations
34B40	Boundary value problems on infinite intervals for ordinary differential equations

Keywords:

linear third order differential equation; eigenvalue; eigenfunction; boundary value problems

Citations:

Zbl 0602.34005