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Year 2015, , 118 - 125, 15.05.2015
https://doi.org/10.36753/mathenot.421229

Abstract

References

  • [1] J. Schwinger, Phys. Rev. 74 (1948),1439-1461.
  • [2] F. J. Dyson, Phys. Rev. 75 (1949), 486-502.
  • [3] R. P. Feynman, J. Phys. Rev. 84 (1951),108-128.
  • [4] H. Luna-Garcia, O. Chavoya-Aceves, Rev. Mex. Fis. 35(4) (1980),680-690.
  • [5] W. Magnus, Comm. Pure Appl. Math., Vol. VII, (1954),649-673.
  • [6] Abramowitz and Stegun, Handbook of Mathematical Functions, Dover Publications,USA (1964).
  • [7] R. M. Wilcox, J. Math. Phys. 8 (1967),962-982.
  • [8] B. Mielnik, J. Pleba˜nski, Ann. Inst. Henri Poincar´e, Vol. XII, No. 3, (1970), 215-254.
  • [9] E. B. Dynkin, Doclady Akad. Nauk, SSSR (N. S.) 57(1947), 323-326.
  • [10] K. O. Friederich, Comm. Pure Appl. Math., Vol. VI, (1953),1-72.
  • [11] D. Danielson, Vectors and Tensors in Engineering and Physics, 2nd. Ed., Addison-Wesley,USA (1992).
  • [12] H. Goldstein. Classical Mechanics, 2nd. Ed., Addison-Wesley,USA (2000).

EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS

Year 2015, , 118 - 125, 15.05.2015
https://doi.org/10.36753/mathenot.421229

Abstract

In this paper we obtain an authentically exponential
solution to the differential equation dY (t)/ dt = A(t)Y (t), where Y (t) and A(t)
are linear operators with the initial condition Y (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.

References

  • [1] J. Schwinger, Phys. Rev. 74 (1948),1439-1461.
  • [2] F. J. Dyson, Phys. Rev. 75 (1949), 486-502.
  • [3] R. P. Feynman, J. Phys. Rev. 84 (1951),108-128.
  • [4] H. Luna-Garcia, O. Chavoya-Aceves, Rev. Mex. Fis. 35(4) (1980),680-690.
  • [5] W. Magnus, Comm. Pure Appl. Math., Vol. VII, (1954),649-673.
  • [6] Abramowitz and Stegun, Handbook of Mathematical Functions, Dover Publications,USA (1964).
  • [7] R. M. Wilcox, J. Math. Phys. 8 (1967),962-982.
  • [8] B. Mielnik, J. Pleba˜nski, Ann. Inst. Henri Poincar´e, Vol. XII, No. 3, (1970), 215-254.
  • [9] E. B. Dynkin, Doclady Akad. Nauk, SSSR (N. S.) 57(1947), 323-326.
  • [10] K. O. Friederich, Comm. Pure Appl. Math., Vol. VI, (1953),1-72.
  • [11] D. Danielson, Vectors and Tensors in Engineering and Physics, 2nd. Ed., Addison-Wesley,USA (1992).
  • [12] H. Goldstein. Classical Mechanics, 2nd. Ed., Addison-Wesley,USA (2000).
There are 12 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

H. Luna-garcia This is me

Luz Maria Garcia-cruz This is me

Publication Date May 15, 2015
Submission Date October 15, 2014
Published in Issue Year 2015

Cite

APA Luna-garcia, H., & Garcia-cruz, L. M. (2015). EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS. Mathematical Sciences and Applications E-Notes, 3(1), 118-125. https://doi.org/10.36753/mathenot.421229
AMA Luna-garcia H, Garcia-cruz LM. EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS. Math. Sci. Appl. E-Notes. May 2015;3(1):118-125. doi:10.36753/mathenot.421229
Chicago Luna-garcia, H., and Luz Maria Garcia-cruz. “EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS”. Mathematical Sciences and Applications E-Notes 3, no. 1 (May 2015): 118-25. https://doi.org/10.36753/mathenot.421229.
EndNote Luna-garcia H, Garcia-cruz LM (May 1, 2015) EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS. Mathematical Sciences and Applications E-Notes 3 1 118–125.
IEEE H. Luna-garcia and L. M. Garcia-cruz, “EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS”, Math. Sci. Appl. E-Notes, vol. 3, no. 1, pp. 118–125, 2015, doi: 10.36753/mathenot.421229.
ISNAD Luna-garcia, H. - Garcia-cruz, Luz Maria. “EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS”. Mathematical Sciences and Applications E-Notes 3/1 (May 2015), 118-125. https://doi.org/10.36753/mathenot.421229.
JAMA Luna-garcia H, Garcia-cruz LM. EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS. Math. Sci. Appl. E-Notes. 2015;3:118–125.
MLA Luna-garcia, H. and Luz Maria Garcia-cruz. “EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS”. Mathematical Sciences and Applications E-Notes, vol. 3, no. 1, 2015, pp. 118-25, doi:10.36753/mathenot.421229.
Vancouver Luna-garcia H, Garcia-cruz LM. EXPONENTIAL SOLUTION OF A DIFFERENTIAL EQUATION BETWEEN OPERATORS. Math. Sci. Appl. E-Notes. 2015;3(1):118-25.

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