%0 Journal Article %T Slowly Oscillating Solutions for Differential Equations with Strictly Monotone Operator %A Chuanyi Zhang %A Yali Guo %J Journal of Inequalities and Applications %D 2007 %I Springer %R 10.1155/2007/60239 %X The authors discuss necessary and sufficient conditions for the existence and uniqueness of slowly oscillating solutions for the differential equation u'+F(u)=h(t) with strictly monotone operator. Particularly, the authors give necessary and sufficient conditions for the existence and uniqueness of slowly oscillating solutions for the differential equation u'+ бщ |(u)=h(t), where бщ | denotes the gradient of the convex function | on бщ N. %U http://dx.doi.org/10.1155/2007/60239