Spectral Theory for Nonlocal Dispersal with Periodic or Almost-Periodic Time Dependence
نویسندگان
چکیده
منابع مشابه
Spectral theory for nonlocal dispersal operators with time periodic indefinite weight functions and applications
In this paper, we study the spectral theory for nonlocal dispersal operators with time periodic indefinite weight functions subject to Dirichlet type, Neumann type and spatial periodic type boundary conditions. We first obtain necessary and sufficient conditions for the existence of a unique positive principal spectrum point for such operators. We then investigate upper bounds of principal spec...
متن کاملPeriodic Traveling Waves in Integrodifferential Equations for Nonlocal Dispersal
Periodic traveling waves (wavetrains) have been extensively studied for reaction-diffusion equations. One important motivation for this work has been the identification of periodic traveling wave patterns in spatiotemporal data sets in ecology. However, for many ecological populations, diffusion is no more than a rough phenomenological representation of dispersal, and spatial convolution with a...
متن کاملAsymptotic Almost Periodicity of Scalar Parabolic Equations with Almost Periodic Time Dependence
1 1. Introduction This paper is devoted to the study of asymptotic almost periodicity of bounded solutions for the following time almost periodic one dimensional scalar parabolic equation: u t = u xx + f (t, x, u, u x), t > 0, 0 < x < 1, u(t, 0) = u(t, 1) = 0, t > 0, (1.1) where f : IR 1 × [0, 1] × IR 1 × IR 1 → IR 1 is a C 2 function, and f (t, x, u, p) with all its partial derivatives (...
متن کاملAlmost Periodic Time Scales and Almost Periodic Functions on Time Scales
In this note we communicate some important remarks about the concepts of almost periodic time scales and almost periodic functions on time scales that are proposed by Wang and Agarwal in their recent papers ( see [7]-[10]).
متن کاملNew 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 _ x = A(t)x+f(t) (), with f having precompact range, which will be then applied to nd new spectral criteria for the existence of almost periodic solutions with speciic spectral properties in the resonnant case where e isp(f) may intersect the spectrum of t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2008
ISSN: 0035-7596
DOI: 10.1216/rmj-2008-38-4-1147