On the complex formation approach in modeling predator prey relations, mating, and sexual disease transmission.
The Asymptotic Behaviour of Solutions of Nonlinear Integral Equations.
Renewal theorems for linear discrete Volterra equations.
On a Class of Hammerstein Integral Equations.
On the Boundedness and the Asymptotic Behaviour of the Non-Negative Solutions of Volterra-Hammerstein Integral Equations.
Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
Semilinear perturbations of Hille-Yosida operators
The semilinear Cauchy problem (1) u’(t) = Au(t) + G(u(t)), , with a Hille-Yosida operator A and a nonlinear operator G: D(A) → X is considered under the assumption that ||G(x) - G(y)|| ≤ ||B(x -y )|| ∀x,y ∈ D(A) with some linear B: D(A) → X, , where V is of suitable small strong variation on some interval [0,ε). We will prove the existence of a semiflow on that provides Friedrichs solutions in L₁ for (1). If X is a Banach lattice, we replace the condition above by |G(x) - G(y)| ≤ Bv whenever...
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