%0 Journal Article 
%A Ruiz Serván, Adrián
%A Muriel Patino, María Concepción
%T Exact solutions to a family of position-dependent mass damped oscillators from variational λ-symmetries
%D 2023
%@ 0170-4214
%U http://hdl.handle.net/10498/31316
%X A wide family of position-dependent mass damped oscillators affected by an external potential is investigated. First, a Lagrangian formulation is introduced for the corresponding problem. The Lagrangian function is time-dependent, and the problem cannot be approached with classical procedures because it lacks variational symmetries. Therefore, the variational (Formula presented.) -symmetry method is applied to find exact solutions. Variational (Formula presented.) -symmetries are determined for a family of potential functions, which lead to a one-parameter family of exact solutions. The results are applied to particular examples corresponding to some interesting mass functions reported in the previous literature.
%K exact solutions
%K Liénard equation
%K position-dependent mass
%K variational λ-symmetry
%~ Universidad de Cádiz