Particle simulation and asymptotic analysis of kinetic equations for modeling a Schottky diode
Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources
We study a reaction-diffusion equation with an integral term describing nonlocal consumption of resources in population dynamics. We show that a homogeneous equilibrium can lose its stability resulting in appearance of stationary spatial structures. They can be related to the emergence of biological species due to the intra-specific competition and random mutations. Various types of travelling waves are observed.
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 and solitary wave solutions of two component Zakharov-Yajima-Oikawa system, using Madelung's approach.
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 for second order integro-differential equations with infinite delay in Banach spaces
We study the maximal regularity on different function spaces of the second order integro-differential equations with infinite delay (0 ≤ t ≤ 2π) with periodic boundary conditions u(0) = u(2π), u’(0) = u’(2π), where A is a closed operator in a Banach space X, α ∈ ℂ, and a,b ∈ L¹(ℝ₊). We use Fourier multipliers to characterize maximal regularity for (P). Using known results on Fourier multipliers, we find suitable conditions on the kernels a and b under which necessary and sufficient conditions...
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.
Periodic solutions of Volterra integral equations.
Permanence in logistic and Lotka-Volterra systems with dispersal and time delays.
Permanence of a discrete model of mutualism with infinite deviating arguments.
Perturbation series and defect correction for the refinement of approximate eigenelements of linear integral operators
Perturbations of Positive Semigroups and Applications to Population Genetics.
Perturbed Hammerstein integral inclusions with solutions that change sign
We establish new existence results for nontrivial solutions of some integral inclusions of Hammerstein type, that are perturbed with an affine functional. In order to use a theory of fixed point index for multivalued mappings, we work in a cone of continuous functions that are positive on a suitable subinterval of . We also discuss the optimality of some constants that occur in our theory. We improve, complement and extend previous results in the literature.
Perturbed integral equations in modular function spaces.
Piecewise linear wavelet collocation, approximation of the boundary manifold, and quadrature.