×

On oscillatory solutions of third-order linear differential equations. (English) Zbl 0679.34031

Summary: The subject of this paper are the third order differential equations which have the solution space with bases consisting of 0,1,2 or 3 oscillatory solutions. To study such equations we use the result of G. D. Jones [Rocky Mt. J. Math. 3, 507-513 (1973; Zbl 0267.34033)] and seek the possibility of perturbing the self-adjoint differential equation in such a way that both equations be asymptotically equivalent.

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34E10 Perturbations, asymptotics of solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems

Citations:

Zbl 0267.34033
Full Text: DOI