Kyungpook Mathematical Journal
- Volume 27 Issue 1
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- Pages.7-13
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- 1987
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- 1225-6951(pISSN)
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- 0454-8124(eISSN)
OSCILLATORY BEHAVIOUR OF SOLUTIONS OF y"+P(x)y=f(x)
- Zaghrout, A.A.S. (Faculty of Science AI-Azhar University) ;
- Ragab, A.A. (Faculty of Science AI-Azhar University)
- Published : 1987.06.20
Abstract
This paper is a study of the oscillatory and asymptotic behaviour of solutions of the second order nonhomogeneous linear differential equation y"+P(x)y=f(x), and the associated homogeneous equation. Conditions are determined, under which the nonhomogeneous equation is oscillatory if and only if the homogeneous equation is oscillatory.
Keywords