Homoclinic orbits of nonlinear functional difference equations
The author employs the critical point theory to obtain the existence of a nontrivial homoclinic orbit which decays exponentially at infinity for nonlinear difference equations containing both advance and retardation without any periodic assumptions. Moreover, if the nonlinearity is an odd function, the existence of an unbounded sequence of nontrivial homoclinic orbits which decay exponentially at infinity is also presented.
nonlinear functional difference equations
scientific article; zbMATH DE number 5551270
scientific article