The intention of this work is to deal with new form of reciprocal third power functional equations for their solutions. The Ulam stabilities of these equations are determined in the setting of non-Archimedean fields. A proper instance is demonstrated to show the invalidity of stability result for a very critical case. The interpretation of the equations dealt in this study is associated with a significant hypothesis in electromagnetic theory and the relation of stiffness (or deflection) and length of diving board (or cantilever beam).
V. Senthil Kumar, B.; Al-Shaqsi, Khalifa; and Dutta, Hemen
"On new approximations and expositions of reciprocal third power mappings,"
Information Sciences Letters: Vol. 9
, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol9/iss2/5