EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR CERTAIN SECOND-ORDER ODES

  • JU, HYEONG-KWAN (Dept. of Mathematics, Chonnam National University)
  • Received : 2002.04.25
  • Published : 2002.07.30

Abstract

In this paper we have shown conditions of R for the existence of the solution to the problem of the type $-u''=ue^{{\varepsilon}u}$ on the interval (0, R) with boundary and other conditions as in $(1-{\varepsilon})-(4)$ for various ${\varepsilon}$.

Keywords

elliptic integral

References

  1. Korean Annals of Math. v.18 Blowup of Solutions for a Certain Semilinear Parabolic PDE Ju, H.K.
  2. Honam Math. J. v.20 Uniqueness and Existence of the Solution for Certain Scalar Semilinear Elliptic Problem Ju, H.K.;Nam, I.H.
  3. Shock Waves and Reaction-Diffusion Equations Smoller, J.