Journal of applied mathematics & informatics

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

ON VARIATIONS OF THE INTERVAL OF THE GREEN'S FUNCTIONS OF ORDINARY DIFFERENTIAL SYSTEMS

  • Published : 1998.03.01

⟨ Previous Next ⟩

Abstract

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

Keywords

References

  1. J. of Differential Equations v.111 Estimates for Green's Function of Sturm-Liovville Operator N.Chernyavskaya;L.Shuster
  2. Lesons sur le calcul des variations J.Hadamard
  3. Ordinary differential equations E.L.Ince
  4. Adv. in Appl. Math. v.10 A Green's Function Approach for a Singularly Pertubed Vector Boundary-Value Problem J.S.Jeffries;D.R.Smith
  5. Proc.Amer.Math.Soc. v.3 On the existence of Green's function F.D.Lax
  6. J. Differential Geometry v.41 Green's functions, harmonic functions, and volume comparison P.Li;L.F.Tam
  7. Proc.Amer.Math.Soc. v.3 On the Green's function of ordinary differential systems K.S.Miller;M.M.Schiffer
  8. Proc.Amer.Math.Soc. v.3 Monotonic properties of the Green's function
  9. Linear differential operators M.A.Naimark
  10. Canadian J. of Math. v.2 Note on the uniqueness of Green's functions associated with certain differential equations D.B.Sears
  11. Canadian J. of Math. v.1 On the uniqueness of the Green's function associated with a second-order differential equation E.C.Titchmarsh
  12. Tohoku Mat.J. v.38 Green's functions in space of one dimension Ⅰ K.Toyoda
  13. Tohoku Mat.J. v.39 Green's functions in space of one dimension Ⅱ