Vol. 27, No. 3, 1968

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ISSN: 0030-8730
Qualitative behavior of solutions of a third order nonlinear differential equation

John Willard Heidel

Vol. 27 (1968), No. 3, 507–526
Abstract

This paper investigates the behavior of nonoscillatory solutions and the existence of oscillatory solutions of the differential equation

y′′′ + p(t)y′ + q(t)yr = 0

where p(t) and q(t) are continuous and real valued on a half axis [a,) and r is the quotient of odd positive integers. The two cases p(t),q(t) 0 and p(t),q(t) 0 are discussed.

One theorem improves an oscillation criterion of Waltman [16]. Other results supplement those obtained by Lazar [10].

Mathematical Subject Classification
Primary: 34.42
Milestones
Received: 26 July 1967
Published: 1 December 1968
Authors
John Willard Heidel