Abstract
In this paper we show the global existence and uniqueness of certain orbits homoclinic to the zero stationary solution of the fourth order equation {Mathematical expression} when α, γ>0>β, dk/dx<0 for x>0 and K(0)=0. The existence problem is approached via the general theory of [1] and uniqueness follows from the Maximum Principle and some geometrical observations about the role of convexity. There are no small amplitude assumptions.
Original language | English |
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Pages (from-to) | 591-597 |
Number of pages | 7 |
Journal | ZAMP Zeitschrift für angewandte Mathematik und Physik |
Volume | 43 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Jul 1992 |
ASJC Scopus subject areas
- General Mathematics
- General Physics and Astronomy
- Applied Mathematics