Über die Fixpunktmengen einer Klasse Volterrascher Integraloperatoren in Banachräumen.
Über die Lösungen Urysohnscher Integralgleichungen.
Über die numerische Behandlung VOLTERRAscher Integralgleichungen zweiter Art
Uniform asymptotic stability and robust stability for positive linear Volterra difference equations in Banach lattices.
Uniqueness of solutions to an Abel type nonlinear integral equation on the half line
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....