Došlá, Zuzana On oscillatory solutions of third-order linear differential equations. (English) Zbl 0679.34031 Čas. Pěstování Mat. 114, No. 1, 28-34 (1989). 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 Keywords:third order differential equations; self-adjoint differential equation Citations:Zbl 0267.34033 × Cite Format Result Cite Review PDF Full Text: DOI