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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Systems-conjugate and focal points of fourth order nonselfadjoint differential equations

Author: Sui Sun Cheng
Journal: Trans. Amer. Math. Soc. 223 (1976), 155-165
MSC: Primary 34C10
MathSciNet review: 0473334
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Abstract: Systems-conjugate points have been studied by John Barrett in relation to selfadjoint fourth order differential equations of the form $({p_2}u'')'' + {p_0}u = 0$. This paper extends his results to the general nonselfadjoint fourth order differential equation via a system of second order equations.

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Keywords: System of second order differential equations, systems-conjugate point, systems-focal point, <IMG WIDTH="16" HEIGHT="21" ALIGN="BOTTOM" BORDER="0" SRC="images/img2.gif" ALT="$\theta$">-principal solutions, reciprocal system, comparison theorems
Article copyright: © Copyright 1976 American Mathematical Society