Extinct Singular Solutions of First Order Systems of Nonlinear Differential Equations
Extinct Singular Solutions of First Order Systems of Nonlinear Differential Equations
It is shown that cyclic differential systems of the forms (A) x′i = −pi(t)xαii+1, i = 1, ..., n (xn + 1 = x1), and (B) x′i = −pi(t)x−αii+1, i = 1, ..., n (xn+1 = x1), where αi > 0, i = 1, ..., n, are constants and pi(t) …