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| ON THE BOUNDEDNESS OF A CLASS OF NONLINEAR DYNAMIC EQUATIONS OF THE THIRD ORDER |
| Ningning Zhu,Fanwei Meng |
| (School of Mathematical Science, Qufu Normal University, Qufu 273165, Shandong, PR China) |
| DOI： |
| Abstract: |
| In this paper, a modified nonlinear dynamic inequality on time scales is used to study the boundedness of a class of nonlinear third-order dynamic equations on time scales. These theorems contain as special cases results for dynamic differential equations, difference equations and $q$-difference equations. |
| Key words: time scales; dynamic equation; integral inequality; boundedness; third-order |