2 papers
math.OC2007★ 129 cited
Noether's Theorem on Time Scales
Zbigniew Bartosiewicz, Delfim F. M. Torres
We show that for any variational symmetry of the problem of the calculus of variations on time scales there exists a conserved quantity along the respective Euler-Lagrange extremal…
math.CV2006
Systems of germs and theorems of zeros in infinite-dimensional spaces
Dorota Mozyrska, Zbigniew Bartosiewicz
Systems of germs of sets in infinite-dimensional spaces are introduced and studied. Such a system corresponds to a local zero-set of an ideal of the ring of analytic functions of i…