Title | ASYMPTOTIC BEHAVIOR OF FUNCTIONAL DYNAMIC EQUATIONS IN TIME SCALE |
Publication Type | Journal Article |
Year of Publication | 2010 |
Authors | CASTILLO SAMUEL, PINTO MANUEL |
Journal | Dynamic Systems and Applications |
Volume | 19 |
Start Page | 165 |
Pagination | 13 |
Date Published | 2010 |
ISSN | 1056-2176 |
AMS Subject Classification | 39A10 |
Abstract | It is considered a scalar linear functional dynamic equation in time scale with delayed argument of the form (0.1) y∆(t) = b(t) y( τ(t) ), t ∈ T ∩ [0, +∞] where T, the time scale, is a closed subset of R without upper bound for this case, ∆ is de Hilger’s derivate, which among other things, unifies difference operator for sequences and the derivate. The functions b, τ : T → C, τ > 0, are “locally integrable” and satisfy integral smallness conditions in a sense to be defined later. Asymptotic formulas of solutions of equation (0.1) are given. They unify and extend asymptotic formulas of difference and differential equations. |
https://acadsol.eu/dsa/articles/19/12-DSA-229.pdf | |
Refereed Designation | Refereed |