Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

Decay of solutions of some degenerate hyperbolic equations of Kirchhoff type

Barbara Szomolay — 2003

Commentationes Mathematicae Universitatis Carolinae

In this paper we study the asymptotic behavior of solutions to the damped, nonlinear vibration equation with self-interaction u ¨ = - γ u ˙ + m ( u 2 ) Δ u - δ | u | α u + f , which is known as degenerate if m ( · ) 0 , and non-degenerate if m ( · ) m 0 > 0 . We would like to point out that, to the author’s knowledge, exponential decay for this type of equations has been studied just for the special cases of α . Our aim is to extend the validity of previous results in [5] to α 0 both to the degenerate and non-degenerate cases of m . We extend our results to equations with...

Page 1

Download Results (CSV)