Geodesic
Differential equation associated with involutions
Taurida Journal of Computer Science Theory and Mathematics, no. 3 (2021), pp. 7-13

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In this paper, we consider with a class of system of differential equations whose argument transforms are involutions. In this an initial value problem for a differential equation with involution is reduced to an initial value problem for a higher order ordinary differential equation. Then either two initial conditions are necessary for a solution; the equation is then reduced to a boundary value problem for a higher order ODE.
Keywords: involution, linear differential equation, fixed point, boundary value problem. 
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     author = {F. N. Dekhkonov},
     title = {Differential equation associated with involutions},
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F. N. Dekhkonov. Differential equation associated with involutions. Taurida Journal of Computer Science Theory and Mathematics, no. 3 (2021), pp. 7-13. http://geodesic.mathdoc.fr/item/TVIM_2021_3_a0/