A generalization of the Lane-Emden equation.
The authors study the initial value problem \(y''(t)+p(t)y'(t)+q(t,y(t))=0\), \(y(0)=a\), \(y'(0)=0\). Four conditions on \(p\) and \(q\) are established so that a solution to the initial value problem exists. If additionally \(q\) is Lipschitzian then the solution is unique.
scientific article; zbMATH DE number 1866591
scientific article