Monotone and oscillatory solution of

Author:
W. J. Kim

Journal:
Proc. Amer. Math. Soc. **62** (1977), 77-82

MSC:
Primary 34C10

MathSciNet review:
0425256

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Abstract | References | Similar Articles | Additional Information

Abstract: Monotone and oscillatory behaviors of the solutions with the property that as or as are discussed. For example, it is shown that every nonoscillatory solution *y*, such that as , monotonically tends to zero as , provided *n* is odd, , and .

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DOI:
https://doi.org/10.1090/S0002-9939-1977-0425256-8

Keywords:
Monotone and oscillatory solutions,
asymptotic behavior,
linear equations,
ordinary,
*n*th-order,
real-valued continuous coefficients

Article copyright:
© Copyright 1977
American Mathematical Society