The Stability of Some Differential Equations

M. M. Pourpasha, Th. M. Rassias, R. Saadati, S. M. Vaezpour
2011 Mathematical Problems in Engineering  
We generalize the results obtained by Jun and Min (2009) and use fixed point method to obtain the stability of the functional equationf(x+σ(y))=F[f(x),f(y)], for a class of functions of a vector space into a Banach space whereσis an involution. Then we obtain the stability of the differential equations of the formy′=F[q(x),P(x)y(x)].
doi:10.1155/2011/128479 fatcat:p45xi3n2xjehtjkxrtn6a3xk6i