OSCILLATORY BEHAVIOUR OF SOLUTIONS OF y''+P(x)y=f(x)

数学物理学报(英文版) ›› 1990, Vol. 10 ›› Issue (3): 355-360.

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OSCILLATORY BEHAVIOUR OF SOLUTIONS OF y''+P(x)y=f(x)

A. A. S. Zaghrout, A. A. Ragab

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt

收稿日期:1984-07-12 修回日期:1989-06-13 出版日期:1990-09-25 发布日期:1990-09-25

OSCILLATORY BEHAVIOUR OF SOLUTIONS OF y''+P(x)y=f(x)

A. A. S. Zaghrout, A. A. Ragab

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt

Received:1984-07-12 Revised:1989-06-13 Online:1990-09-25 Published:1990-09-25

摘要/Abstract

摘要：

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.

A. A. S. Zaghrout, A. A. Ragab. OSCILLATORY BEHAVIOUR OF SOLUTIONS OF y''+P(x)y=f(x)[J]. 数学物理学报(英文版), 1990, 10(3): 355-360.

A. A. S. Zaghrout, A. A. Ragab. OSCILLATORY BEHAVIOUR OF SOLUTIONS OF y''+P(x)y=f(x)[J]. Acta mathematica scientia,Series B, 1990, 10(3): 355-360.

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OSCILLATORY BEHAVIOUR OF SOLUTIONS OF y''+P(x)y=f(x)

OSCILLATORY BEHAVIOUR OF SOLUTIONS OF y''+P(x)y=f(x)

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