Some qualitative properties of linear dynamic equations with multiple delays
نویسنده
چکیده
where aj ∈R are scalars, τ j are iterates of a function τ : T→ T and T is a time scale unbounded above. Under some specific choices of τ , this dynamic equation involves several significant particular cases such as linear autonomous differential equations with several delays or linear autonomous higher-order difference equations. For proportional τ , we formulate an asymptotic result joint for two different time scales, including a joint form of its proof. For a general τ , we investigate stability and asymptotic properties of solutions on the continuous and discrete time scales separately. Besides a related character of the relevant results, we discuss also a possible related character of their proofs. MSC: 34N05; 34K25; 39A12; 39A30
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