Periodic solutions for second order differential equations
Consider the differential equation \[ (p(t)x')'+f(t,x)=0,\tag{*} \] where \(p\) and \(f\) are continuously differentiable and periodic in \(t\). The author proves the unique existence of a periodic solution to (*) unter Landesman-Lazer-type conditions.
scientific article; zbMATH DE number 5001496
scientific article