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Volume 1, Issue 2
Oscillation Results for BVPs of Even Order Nonlinear Neutral Partial Differential Equations

Zhenguo Luo, Liping Luo & Yunhui Zeng

DOI: 10.12150/jnma.2019.261

J. Nonl. Mod. Anal., 1 (2019), pp. 261-270.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

A class of boundary value problems (BVPs) of even order neutral partial functional differential equations with continuous distribution delay and nonlinear diffusion term are studied. By applying the integral average and Riccati's method, the high-dimensional oscillatory problems are changed into the one-dimensional ones, and some new sufficient conditions are obtained for oscillation of all solutions of such boundary value problems under first boundary condition. The results generalize and improve some results of the latest literature.

  • Keywords

Even order partial functional differential equation, boundary value problem, oscillation criteria, continuous distribution delay, nonlinear diffusion term.

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COPYRIGHT: © Global Science Press

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@Article{JNMA-1-261, author = {Luo , ZhenguoLuo , Liping and Zeng , Yunhui}, title = {Oscillation Results for BVPs of Even Order Nonlinear Neutral Partial Differential Equations}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {2}, pages = {261--270}, abstract = {

A class of boundary value problems (BVPs) of even order neutral partial functional differential equations with continuous distribution delay and nonlinear diffusion term are studied. By applying the integral average and Riccati's method, the high-dimensional oscillatory problems are changed into the one-dimensional ones, and some new sufficient conditions are obtained for oscillation of all solutions of such boundary value problems under first boundary condition. The results generalize and improve some results of the latest literature.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.261}, url = {http://global-sci.org/intro/article_detail/jnma/18862.html} }
TY - JOUR T1 - Oscillation Results for BVPs of Even Order Nonlinear Neutral Partial Differential Equations AU - Luo , Zhenguo AU - Luo , Liping AU - Zeng , Yunhui JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 261 EP - 270 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.261 UR - https://global-sci.org/intro/article_detail/jnma/18862.html KW - Even order partial functional differential equation, boundary value problem, oscillation criteria, continuous distribution delay, nonlinear diffusion term. AB -

A class of boundary value problems (BVPs) of even order neutral partial functional differential equations with continuous distribution delay and nonlinear diffusion term are studied. By applying the integral average and Riccati's method, the high-dimensional oscillatory problems are changed into the one-dimensional ones, and some new sufficient conditions are obtained for oscillation of all solutions of such boundary value problems under first boundary condition. The results generalize and improve some results of the latest literature.

Zhenguo Luo, Liping Luo & Yunhui Zeng. (1970). Oscillation Results for BVPs of Even Order Nonlinear Neutral Partial Differential Equations. Journal of Nonlinear Modeling and Analysis. 1 (2). 261-270. doi:10.12150/jnma.2019.261
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