Necessary optimality conditions for infinite horizon variational problems on time scales
Monika Dryl, Delfim F. M. Torres · Numerical Algebra Control and Optimization · 2013
We prove Euler--Lagrange type equations and transversality conditionsfor generalized infinite horizon problems of the calculus of variationson time scales. Here the Lagrangian depends on the independentvariable, an unknown function and its nabla derivative,as well as a nabla indefinite integralthat depends on the unknown function.