Generalized quasilinearization for singular system of differential equations

摘要

We had earlier employed (A.R. Abd-Ellateef Kamar, The method of generalized quasilinearization for degenerate singular perturbation problem, to appear; A.R. Abd-Ellateef Kamar, Extension of the method of generalized quasilinerization for degenerate singular perturbation problem, to appear) the generalized quasilinearization method for the degenerate singular perturbation problem: y′=f(t,y,λ),y(0)=y0,0=F(t,y,λ). Here we have employed the generalized quasilinearization method for the following singular system of differential equations: Ay′=f(t,y),y(0)=y0, where A is a singular n × n matrix.