Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations
The authors establish sufficient conditions on the existence of periodic solutions and homoclinic (to \(0\)) solutions for the equation \[ \Biggl(\frac{x'(t)}{\sqrt{1+{x'(t)}^2}}\Biggr)' + f(x'(t)) + g(x(t)) = e(t), \] where \(f,g,e\) are continuous functions, \(f(0)=g(0)=0\).
prescribed mean curvature Rayleigh equation
scientific article; zbMATH DE number 6622906
scientific article