Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications | Zendy

Bin Zheng | Zendy; Qinghua Feng | Zendy; Fanwei Meng | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Some New Gronwall-Bellman-Type Inequalities on Time Scales and Their Applications

Author(s) -

Bin Zheng,

Qinghua Feng,

Fanwei Meng

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/625063

Subject(s) - inequality , mathematics , type (biology) , dynamic equation , gronwall's inequality , mathematical analysis , nonlinear system , biology , ecology , physics , quantum mechanics

We establish some new Gronwall-Bellman-type inequalities on time scales. These inequalities are of new forms compared with other Gronwall-Bellman-type inequalities established so far in the literature. Based on them, new bounds for unknown functions are derived. For illustrating the validity of the inequalities established, we present some applications for them, in which the boundedness for solutions for some certain dynamic equations on time scales is researched

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research