Asymptotically almost periodic solutions for abstract partial neutral integro-differential equation.
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.
Existence of periodic solutions for integrodifferential impulsive periodic system on Banach space.
Existence of solutions for weighted -Laplacian impulsive integro-differential system periodic-like boundary value problems.
Fourier approximation for integral equations on the real line.
Hopf bifurcation of integro-differential equations.
Lyapunov functionals and periodicity in a system of nonlinear integral equations.
New spectral criteria for almost periodic solutions of evolution equations
We present a general spectral decomposition technique for bounded solutions to inhomogeneous linear periodic evolution equations of the form ẋ = A(t)x + f(t) (*), with f having precompact range, which is then applied to find new spectral criteria for the existence of almost periodic solutions with specific spectral properties in the resonant case where may intersect the spectrum of the monodromy operator P of (*) (here sp(f) denotes the Carleman spectrum of f). We show that if (*) has a bounded...
On oscillation of a kind of integro-differential equation with delay
This note contains a criterion for the oscillation of solution of a kind of integro-differential equations with delay.
On the oscillation of a Volterra integral equation
On the oscillatory properties of the solutions of a class of integro- differential equations of neutral type.
Oscillating solutions of integral equations and linear recursions.
Periodic and Almost Periodic Solutions of Integral Inclusions
The existence of a continuous periodic and almost periodic solutions of the nonlinear integral inclusion is established by means of the generalized Schauder fixed point theorem.
Periodic and asymptotically periodic solutions of neutral integral equations.
Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities.
Periodic solutions for nonlinear Volterra integrodifferential equations in Banach spaces
In this paper we examine periodic integrodifferential equations in Banach spaces. When the cone is regular, we prove two existence theorems for the extremal solutions in the order interval determined by an upper and a lower solution. Both theorems use only the order structure of the problem and no compactness condition is assumed. In the last section we ask the cone to be only normal but we impose a compactness condition using the ball measure of noncompactness. We obtain the extremal solutions...
Periodic solutions of a class of integrodifferential impulsive periodic systems with time-varying generating operators on Banach space.
Periodic solutions of a one-dimensional Wilson-Cowan type model.
Periodic solutions of neutral delay integral equations of advanced type.
Periodic solutions of second order integro-differential equations.