The fourth order strongly noncanonical operators
Sign Up to like & getrecommendations! Published in 2018 at "Open Mathematics"
DOI: 10.1515/math-2018-0135
Abstract: Abstract It is shown that the strongly noncanonical fourth order operator Ly=r3(t)r2(t)r1(t)y′(t)′′′$$\begin{array}{} \displaystyle \mathcal {L}\,y=\left(r_3(t)\left(r_2(t)\left(r_1(t)y'(t)\right)'\right)'\right)' \end{array}$$ can be written in essentially unique canonical form as Ly=q4(t)q3(t)q2(t)q1(t)q0(t)y(t)′′′′.$$\begin{array}{} \displaystyle \mathcal {L}\,y = q_4(t)\left(q_3(t)\left(q_2(t)\left(q_1(t)\left(q_0(t)y(t)\right)'\right)'\right)'\right)'. \end{array}$$ The canonical representation… read more here.
Keywords: array; strongly noncanonical; right right; fourth order ... See more keywords