A fixed point theorem of Leggett-Williams type with applications to single- and multivalued equations.
A Volterra inequality with the power type nonlinear kernel.
Addendum to “Integrable and continuous solutions of a nonlinear quadratic integral equation”.
Decay rates of solutions of linear stochastic Volterra equations.
Existence and asymptotic behavior of solutions for weighted -Laplacian integrodifferential system multipoint and integral boundary value problems in half line.
Existence and uniqueness of positive periodic solutions for a class of integral equations with parameters
Existence of periodic solutions of functional differential equations with parameters such as Nicholson’s blowflies model call for the investigation of integral equations with parameters defined over spaces with periodic structures. In this paper, we study one such equation , x ∈ Ω, by means of the proper value theory of operators in Banach spaces with cones. Existence, uniqueness and continuous dependence of proper solutions are established.
Global existence results for first-order integrodifferential identification problems
Impulsive integral equations in Banach spaces and applications.
Integrable and continuous solutions of a nonlinear quadratic integral equation.
Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems.
Nonnegative solutions of nonlinear integral equations
Existence results of nonnegative solutions of asymptotically linear, nonlinear integral equations are studied.
Nonnegative solutions to an integral equation and its applications to systems of boundary value problems.
On a Fokker-Planck equation arising in population dynamics.
On stability and robust stability of positive linear Volterra equations in Banach lattices
We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.
On the existence of positive solutions for nonlinear two-point boundary-value problems.
On the nonexistence of positive solution of some singular nonlinear integral equations.
On the positivity and zero crossings of solutions of stochastic Volterra integrodifferential equations.
Oscillations of linear integro-differential equations
Sufficient conditions which guarantee that certain linear integro-differential equation cannot have a positive solution are established.
Positive almost automorphic solutions for some nonlinear delay integral equations.
Positive solutions of a renewal equation
An existence theorem is proved for the scalar convolution type integral equation .