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Nonlinear Limit-Point Type Solutions ofnth Order Differential Equations

✍ Scribed by M Bartušek; Z Došlá; John R Graef

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
255 KB
Volume
209
Category
Article
ISSN
0022-247X

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✦ Synopsis

We continue the study of limit-pointrlimit-circle type differential equations of the nth order. In particular, we show that the differential expression y Ž4 k . q ry, k s 1, 2, . . . , is never of the limit-circle type as long as r is not an unbounded oscillatory function; this partially answers an open question and generalizes our result for n s 4. This follows as a consequence of new results on the nonlinear limit-pointrlimit-circle problem for the equation y Ž n. s r t f y, yЈ, . . . , y Žny1. .

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