On The Existence Of Oscillatary Solutions Of The Second Order Two-Dimensional Emden-Fowler Differential Equation

We study the second order two-dimensiond nonlinear diffrential systems in this thesis, as follows: Where the function p(t) and q(t) are both continuous in an interval [t0,∞), t0> 0, and p(t), q(t)≥0, ft∞p(s)ds=∞,0< ft∞q(s)ds< oo for t≥t0, and a andβare also positive constants. The paper finally gives the criteria for the oscillatory solution of the system in the 0<α<βand 0<β< a respectively.