A convolution relation with remainder estimate.
A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation
In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with respect to the Chebyshev and Bielecki norms by two notions.
A fixed point approach to the stability of a Volterra integral equation.
A fixed point theorem of Leggett-Williams type with applications to single- and multivalued equations.
A limiting case for velocity averaging
A new theorem on exponential stability of periodic evolution families on Banach spaces.
A stability result for a class of nonlinear integrodifferential equations with L¹ kernels
We study second order nonlinear integro-differential equations in Hilbert spaces with weakly singular convolution kernels obtaining energy estimates for the solutions, uniform in t. Then we show that the solutions decay exponentially at ∞ in the energy norm. Finally, we apply these results to a problem in viscoelasticity.
A Volterra inequality with the power type nonlinear kernel.
Addendum to “Integrable and continuous solutions of a nonlinear quadratic integral equation”.
An abstract inverse problem.
An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder.
An Epidemic Model With Post-Contact Prophylaxis of Distributed Length II. Stability and Oscillations if Treatment is Fully Effective
A possible control strategy against the spread of an infectious disease is the treatment with antimicrobials that are given prophylactically to those that had contact with an infective person. The treatment continues until recovery or until it becomes obvious that there was no infection in the first place. The model considers susceptible, treated uninfected exposed, treated infected, (untreated) infectious, and recovered individuals. The overly optimistic assumptions are made that treated uninfected...
An oscillation criterion for inhomogeneous Stieltjes integro-differential equations.
Analysis of an age-dependent SI epidemic model with disease-induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases.
Asymptotic behavior of a certain functional equation via limiting equations
Asymptotic behavior of singular values of certain integral operators.
Asymptotic behavior of solutions to functional integral equation with deviating arguments.
Asymptotic behaviour of a transport equation
We study the asymptotic behaviour of the semigroup of Markov operators generated by the equation . We prove that for a > 1 this semigroup is asymptotically stable. We show that for a ≤ 1 this semigroup, properly normalized, converges to a limit which depends only on a.
Asymptotic behaviour of solutions of the Tjon-Wu equation
Asymptotic behaviour of the weighted trace of the Schrödinger operator.