Slowly Oscillating Solutions for Differential Equations with Strictly Monotone Operator

The authors discuss necessary and sufficient conditions for the existence and uniqueness of slowly oscillating solutions for the differential equation[inline-graphic not available: see fulltext] 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[inline-graphic not available: see fulltext], where[inline-graphic not available: see fulltext] denotes the gradient of the convex function[inline-graphic not available: see fulltext] on[inline-graphic not available: see fulltext].