HYERS-ULAM-RASSIAS STABILITY OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATION
By
V. P. Sonalkar¹ , A. N. Mohapatra² and Y.S.Valaulikar³
¹Department of Mathematics, S. P. K. Mahavidyalaya, Sawantwadi, Maharashtra, India - 416510
²Faculty, Department of Mathematics, Centurian University, Pitamahal, Rayagada, Odisha, India - 765001
³Ex Faculty, Department of Mathematics, Goa University, Goa, India - 403206
Email: vpsonalkar@yahoo.com, anm@unigoa.ac.in, ysv@unigoa.ac.in; valaulikarys@gmail.com
(Received: August 18, 2022; In format: September 14, 2022; Revised: January 04, 2024; Accepted: March 18, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54113
Abstract
In this paper, we prove the Hyers-Ulam-Rassias stability of the second order partial differential equation of the type r(x, t)utt(x, t) + p(x, t)uxt(x, t) + q(x, t)ut(x, t) + pt(x, t)ux(x, t) − px(x, t)ut(x, t) = g(x, t, u(x, t)).
2020 Mathematical Sciences Classification: 35B35; 26D10.
Keywords and Phrases: Hyers-Ulam-Rassias stability, Partial differential equations.