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Exponential growth and oscillation of nonlinear homogeneous difference equations with periodic coefficients

โœ Scribed by Dongmei Zhu; Shaozhu Chen

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
364 KB
Volume
41
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

For a class of nonlinear homogeneous difference equations with periodic coefficients, it is shown that every nonoscillatory entire solution has exponential bounds and that the oscillation is equivalent to nonexistence of a part of positive characteristic roots. Sufficient conditions for oscillation in terms of coefficients are also obtained.

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