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Note on forced oscillation of nth-order sublinear differential equations
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2004, Vol. 298 Issue 1, p114-119. 6p. - Publication Year :
- 2004
-
Abstract
- In the case of oscillatory potentials, we establish an oscillation theorem for the forced sublinear differential equation , . No restriction is imposed on the forcing term to be the nth derivative of an oscillatory function. In particular, we show that all solutions of the equation , , are oscillatory for all if . This provides an analogue of a result of Nasr [Proc. Amer. Math. Soc. 126 (1998) 123] for the forced superlinear equation and answers a question raised in an earlier paper [J.S.W. Wong, SIAM J. Math. Anal. 19 (1988) 673]. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 298
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 14315068
- Full Text :
- https://doi.org/10.1016/j.jmaa.2004.03.076