Oscillation criteria of second-order quasi-linear neutral delay differential equations

In this paper, we will establish some new oscillation criteria for second order quasi-linear neutral delay differential equations of the form[r(t)|(x(t)+p(t)x(t-@t))^'|^@a^-^1(x(t)+p(t)x(t-@t))^']^'+q(t)f(x(@s(t)))=0. The results obtained essentially ...

In the case of oscillatory potentials, we establish some oscillation criteria for the second order forced elliptic differential equation with mixed nonlinearities div(A(x)@__ __y)+ +C(x,y)=e(x). When N=1, our results extend those of Kong [Q. Kong, ...

Necessary and sufficient conditions are established for the oscillation of neutral delay parabolic differential equations of the form@?@?t[u(x,t)-pu(x,t-@t)]=a(t)@Du(x,t)+@?"k"="1^sa"k(t)@Du(x,t-@r"k(t))-@?"j"="1^mq"j(t)u(x,t-@s"j(t)),(x,t)@?@Wx[0,~)=G,...