GENERALIZED QUASILINEARIZATION FOR EXTENDED SYSTEMS OF DIFFERENTIAL EQUATIONS WITH PERIODIC BOUNDARY CONDITIONS

In this paper, we have employed the generalized quasilinearization method for the following system of differential equations: y = f(t, y) + g(t, y), y(0) = y(2π),:where f, gεC [[0,2π]X R^n , R^n] and fy is nondecreasing in y and gy is nonincrerasing iny, for tε[0, 2π].