EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS

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Mathematical Sciences and Applications E-Notes
Volume:3 Issue:1
EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS

EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS

Authors : H LUNAGARCİA, Luz Maria GARCİACRUZ

Pages : 118-125

Doi:10.36753/mathenot.421229

View : 44 | Download : 15

Publication Date : 2015-05-15

Article Type : Research Paper

Abstract :In this paper we obtain an authentically exponential solution to the differential equation dY insert ignore into journalissuearticles values(t);/ dt = Ainsert ignore into journalissuearticles values(t);Y insert ignore into journalissuearticles values(t);, where Y insert ignore into journalissuearticles values(t); and Ainsert ignore into journalissuearticles values(t); are linear operators with the initial condition Y insert ignore into journalissuearticles values(0); = I, and I is the identity operator. Then, the solution was applied to calculate the vector triad: tangent, normal and binormal in terms of the arc length of a curve.
Keywords : Exponential of a matrix, Lie groups, Frenet Serret equation

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