Practical Stability in terms of Two Measures for Set Differential Equations on Time Scales | Zendy

Peiguang Wang | Zendy; Weiwei Sun | Zendy

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Practical Stability in terms of Two Measures for Set Differential Equations on Time Scales

Author(s) -

Peiguang Wang,

Weiwei Sun

Publication year - 2014

Publication title -

the scientific world journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.453

H-Index - 93

eISSN - 2356-6140

pISSN - 1537-744X

DOI - 10.1155/2014/241034

Subject(s) - monotone polygon , set (abstract data type) , stability (learning theory) , lyapunov function , mathematics , differential equation , function (biology) , stability theory , computer science , differential (mechanical device) , mathematical analysis , nonlinear system , physics , geometry , quantum mechanics , machine learning , evolutionary biology , biology , programming language , thermodynamics

We present a new comparison principle by introducing a notion of upper quasi-monotone nondecreasing and obtain the practical stability criteria for set valued differential equations in terms of two measures on time scales by using the vector Lyapunov function together with the new comparison principle.

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