Volume 33, Issue 1
On the Boundedness of a Class of Nonlinear Dynamic Equations of the Third Order

Ningning Zhu & Fanwei Meng

Ann. Appl. Math., 33 (2017), pp. 102-110.

Published online: 2022-06

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  • 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.

  • AMS Subject Headings

34C11, 34N05

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COPYRIGHT: © Global Science Press

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@Article{AAM-33-102, author = {Zhu , Ningning and Meng , Fanwei}, title = {On the Boundedness of a Class of Nonlinear Dynamic Equations of the Third Order}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {1}, pages = {102--110}, 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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20598.html} }
TY - JOUR T1 - On the Boundedness of a Class of Nonlinear Dynamic Equations of the Third Order AU - Zhu , Ningning AU - Meng , Fanwei JO - Annals of Applied Mathematics VL - 1 SP - 102 EP - 110 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20598.html KW - time scales, dynamic equation, integral inequality, boundedness, third-order. AB -

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.

Zhu , Ningning and Meng , Fanwei. (2022). On the Boundedness of a Class of Nonlinear Dynamic Equations of the Third Order. Annals of Applied Mathematics. 33 (1). 102-110. doi:
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