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

Autor:	William T. Patula, John W. Hooker
Rok vydání:	1985
Předmět:	Matrix difference equation Partial differential equation Differential equation Applied Mathematics Mathematical analysis First-order partial differential equation Riccati equation Characteristic equation Linear difference equation Linear equation Mathematics
Zdroj:	The Journal of the Australian Mathematical Society. Series B. Applied Mathematics. 26:310-328
ISSN:	1839-4078 0334-2700
DOI:	10.1017/s0334270000004537
Popis:	For 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.
Databáze:	OpenAIRE
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