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Article

Structural Stability of Pseudo-Parabolic Equations for Basic Data

by
Yanping Wang
and
Yuanfei Li
*
School of Data Science, Guangzhou Huashang College, Guangzhou 511300, China
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2024, 29(6), 105; https://doi.org/10.3390/mca29060105
Submission received: 2 September 2024 / Revised: 11 November 2024 / Accepted: 13 November 2024 / Published: 15 November 2024
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Abstract

This article investigates the spatial decay properties and continuous dependence on the basic geometric structure. Assuming that the total potential energy is bounded and the homogeneous Dirichlet condition is satisfied on the side of the solution within the cylindrical domain, we establish an auxiliary function related to the solution. By extending the data at the finite end forward, we can establish the continuous dependence on the perturbation of base data.
Keywords: pseudo parabolic equation; disturbance data; continuous dependence pseudo parabolic equation; disturbance data; continuous dependence

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MDPI and ACS Style

Wang, Y.; Li, Y. Structural Stability of Pseudo-Parabolic Equations for Basic Data. Math. Comput. Appl. 2024, 29, 105. https://doi.org/10.3390/mca29060105

AMA Style

Wang Y, Li Y. Structural Stability of Pseudo-Parabolic Equations for Basic Data. Mathematical and Computational Applications. 2024; 29(6):105. https://doi.org/10.3390/mca29060105

Chicago/Turabian Style

Wang, Yanping, and Yuanfei Li. 2024. "Structural Stability of Pseudo-Parabolic Equations for Basic Data" Mathematical and Computational Applications 29, no. 6: 105. https://doi.org/10.3390/mca29060105

APA Style

Wang, Y., & Li, Y. (2024). Structural Stability of Pseudo-Parabolic Equations for Basic Data. Mathematical and Computational Applications, 29(6), 105. https://doi.org/10.3390/mca29060105

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