Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

ON VARIATIONS OF THE OPERATOR OF THE GREEN'S FUNCTIONS

  • Published : 2004.01.01

⟨ Previous Next ⟩

Abstract

In this paper, we try to construct the variation of the Green's function and investigate some operator properties of the Green's function. Also, we discuss the variation of the operator of the Green's function G(x, t) when the operator is varied.

Keywords

References

  1. Lesons sur le calcul des variations I J.Hadamard
  2. Ordinary differential equations E.L.Ince
  3. Proc.Amer.Math.Soc. v.3 On the existence of Green's function F.D.Lax
  4. Proc.Amer.Math.Soc. v.3 On the Green's function of ordinary differential systems K.S.Miller;M.M.Schiffer
  5. Linear differential operators M.A.Naimark
  6. Canadian J.of Math. v.2 Note on the uniqueness of Green's functions associated with certain differential equations D.B.Sears
  7. Canadian J.of Math. v.1 On the uniqueness of the Green's function associated with a second-order differential equation E.C.Titchmarsh
  8. Tohoku Mat.J. v.38 Green's functions in space of one dimension I K. Toyoda
  9. Tohoku Mat.J. v.39 Green's functions in space of one dimension II K. Toyoda