Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Uniqueness of solutions to an Abel type nonlinear integral equation on the half line

100%

Mydlarczyk W.

Open Mathematics

2012

tom 10

nr 6

1995-2002

We consider a convolution-type integral equation u = k ⋆ g(u) on the half line (−∞; a), a ∈ ℝ, with kernel k(x) = x α−1, 0 < α, and function g(u), continuous and nondecreasing, such that g(0) = 0 and 0 < g(u) for 0 < u. We concentrate on the uniqueness problem for this equation, and we prove that if α ∈ (1, 4), then for any two nontrivial solutions u 1, u 2 there exists a constant c ∈ ℝ such that u 2(x) = u 1(x +c), −∞ < x. The results are obtained by applying Hilbert projective metrics.

Ograniczanie wyników

1 Open Mathematics

1 Mydlarczyk W.

1 2012

Wyniki wyszukiwania

Uniqueness of solutions to an Abel type nonlinear integral equation on the half line