Jñānābha, Vol. 50 (2) (2020), (38-43)
Jñānābha, Vol. 50 (2) (2020), (38-43)
HYERS - ULAM STABILITY OF FIRST AND SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS
By
V. P. Sonalkar 1, A. N. Mohapatra2 and Y. S. Valaulikar3
1Department of Mathematics
S. P. K. Mahavidyalaya Sawantwadi, Maharashtra- 416510, India
Email: vpsonalkar@yahoo.com
2Visiting Faculty, Department of Mathematics
Centurion University, Pitamahal, Rayagada - 765001, Odisha, India
Email: anm999@gmail.com
3Department of Mathematics
Goa University, Goa - 403206, India
Email: ysv@unigoa.ac.in; ysvgoa@gmail.com
(Received: March 13, 2020; Revised: August 17, 2020)
DOI: https://doi.org/10.58250/jnanabha.2020.50204
In this paper, we prove the Hyers-Ulam (HU) stability of the first and second order partial differential equations: ux(x,t)+K(x, u(x,t))=0 and uxx(x,t)+F(x,u)ux(x,t)+H(x,u)=0 respectively.
2010 Mathematics Subject Classifications: 26D10; 35B35; 34K20; 39B52.
Keywords and phrases: Hyers Ulam stability, Partial differential equations, Banach Contraction Principle.