𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An estimate of the interval of existence of solutions of the nonlinear Kirchhoff equation

✍ Scribed by D. Bainov; E. Minchev

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
136 KB
Volume
31
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

Solutions to the initial-boundary value problem for the nonlinear Kirchhoff equation are considered. Conditions on the initial data and nonlinear term are given so that the solutions to the problem under consideration do not exist for all t > 0. An estimate of the t-interval of existence of the solutions is obtained. geywords--An estimate, Interval of existence of solutions, Nonlinear Kirchhoff equation.

πŸ“œ SIMILAR VOLUMES

Existence and multiplicity of the soluti
Existence and multiplicity of the solutions of the p(x)–Kirchhoff type equation via genus theory
✍ Mustafa Avci; Bilal Cekic; Rabil A. Mashiyev πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 175 KB

## Paper 1. Introduction We are concerned with the following p.x/-Kirchhoff type equation where R N is a bounded smooth domain, p 2 C with 1 < p .x/ < N. We assume that M and f satisfy the following conditions: .M 1 / M : R C ! R C is a continuous function and satisfies the (polynomial growth) c