We discuss an elementary derivation of variational symmetries and corresponding integrals motion for the Lagrangian systems depending on acceleration. Providing several examples, we make manuscript accessible to a wide range readers with interest in higher-order Lagrangians symmetries. The discussed technique is also applicable derivatives.

Abstract We consider nonlinear systems driven by a general nonhomogeneous differential operator with various types of boundary conditions and reaction in which we have the combined effects maximal monotone term $A(x)$ A ( x ) multivalued perturbation $F(t,x,y...