On qualitative analysis of delay systems and x Δ = f(t, x, x σ ) on time scales

Proceedings - Mathematical Sciences - Tập 120 - Trang 249-258 - 2010
Yajun Ma1, Yu Zhang1, Jitao Sun1
1Department of Mathematics, Tongji University, Shanghai, China

Tóm tắt

Here we solve two problems presented in paper [9] (C C Tisdell and A Zaidi, Basic qualitative and quantitative results for solutions to nonlinear, dynamic equations on time scales with an application to economic modelling, Nonlinear Anal. 68 (2008) 3504–3524). We study existence and uniqueness of solutions for delay systems and first-order dynamic equations of the form x Δ = f (t,x,x σ ) on time scales by using the Banach’s fixed-point theorem. Some examples are presented to illustrate the efficiency of the proposed results.

Tài liệu tham khảo

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