On nonoscillating singular solutions of second kind to Emden-Fowler systems (Q2761400)

For the Emden-Fowler system NEWLINE\[NEWLINE\dot u_i = p_i(t)|u_{i+1}(t)|^{\lambda_i} \text{sgn }u_{i+1}(t),\quad i=1,\dots,n,\quad u_{n+1}(t)\equiv u_1(t), \quad t>a>0,NEWLINE\]NEWLINE necessary and sufficient conditions are obtained for the existence of singular solutions of second kind with prescribed singularity point, and asymptotic estimates of such solutions are established.