67 citations · 330 across the 21 of their papers we have counts for
Showing 2004 · math-phShow all
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math-ph2004★ 4 cited
Time-dependent singular differential equations
Xavier Gracia, Ruben Martin
A geometric framework for describing and solving time-dependent implicit differential equations F(t,x,x')=0 is studied, paying special attention to the linearly singular case, wher…
math-ph2004★ 7 cited
Regularity and symmetries of nonholonomic systems
Xavier Gracia, Ruben Martin
Lagrangian systems with nonholonomic constraints may be considered as singular differential equations defined by some constraints and some multipliers. The geometry, solutions, sym…
math-ph2004★ 9 cited
On some aspects of the geometry of differential equations in physics
Xavier Gràcia, Miguel C. Muñoz-Lecanda, Narciso Román-Roy
In this review paper, we consider three kinds of systems of differential equations, which are relevant in physics, control theory and other applications in engineering and applied…