AN OSCILLATION CRITERION FOR A FORCED 2ND-ORDER LINEAR-DIFFERENTIAL EQUATION

Authors
ELSAYED MA
Citation
Ma. Elsayed, AN OSCILLATION CRITERION FOR A FORCED 2ND-ORDER LINEAR-DIFFERENTIAL EQUATION, Proceedings of the American Mathematical Society, 118(3), 1993, pp. 813-817
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
118
Issue
3
Year of publication
1993
Pages
813 - 817
Database
ISI
SICI code
0002-9939(1993)118:3<813:AOCFAF>2.0.ZU;2-U
Abstract
The paper is devoted to an oscillation theorem for the second-order fo rced linear differential equation of the form (p(t)x')' + q(t)x = g(t) . The sign of the coefficient q is not definite, and the function g i s not necessarily the second derivative of an oscillatory function. Th e question raised by J. Wong in Second order nonlinear forced oscillat ions (SIAM J. Math. Anal. 19 (1988), 667-675) is answered. A region of oscillation of Mathieu's equation is specified.