We investigate the stationarity of variational integrals evaluated on solutions a system differential equations. First, fundamental concepts are relieved accidental structures and hypothetical assumptions. The constraints

Special polynomials play an important role in several subjects of mathematics, engineering, and theoretical physics. Many problems arising mathematical physics are framed terms differential equations. In this paper, we introduce the family Lagrange-based hypergeometric Bernoulli via generating function method. We state some algebraic properties for extensions polynomials, as well a matrix-inver...

Curves in Lagrange Grassmannians naturally appear when one studies intrinsically ”the Jacobi equations for extremals”, associated with control systems and geometric structures. In this way one reduces the problem of construction of the curvature-type invariants for these objects to the much more concrete problem of finding of invariants of curves in Lagrange Grassmannians w.r.t. the action of t...