Growth and oscillation properties of solutions of a fourth order linear difference equation-Reference-Cited by-同舟云学术

Growth and oscillation properties of solutions of a fourth order linear difference equation

Published:1985-01 Issue:3 Volume:26 Page:310-328
ISSN:0334-2700
Container-title:The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
language:en
Short-container-title:J. Aust. Math. Soc. Series B, Appl. Math

Author:

Hooker John W.,Patula William T.

Abstract

AbstractFor the fourth-order linear difference equation Δ4un−2 = bn un, with bn > 0 for all n, generalized zeros are defined, following Hartman [5], and two theorems are proved concerning separation of zeros of linearly independent solutions. Some preliminary results deal with non-oscillation and asymptotic behavior of solutions of this equation for various types of initial conditions. Finally, recessive solutions are defined, and results are obtained analogous to known results for recessive solutions of second-order difference equations.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference12 articles.

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