A spectral countability condition for almost automorphy of solutions of differential equations
                    
                        
                            نویسندگان
                            
                            
                        
                        
                    
                    
                    چکیده
منابع مشابه
A Massera Type Criterion for Almost Automorphy of Nonautonomous Boundary Differential Equations∗
A classical result of Massera in his landmark paper [1] says that a necessary and sufficient condition for an ω-periodic linear scalar ordinary differential equation to have an ω-periodic solution is that it has a bounded solution on the positive half line. Since then, there has been an increasing interest in extending this classical result to various classes of functions (such as anti-periodic...
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 کاملExistence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
In this paper, we consider a coupled system of nonlinear fractional differential equations (FDEs), such that both equations have a particular perturbed terms. Using emph{Leray-Schauder} fixed point theorem, we investigate the existence and multiplicity of positive solutions for this system.
متن کاملPeriodic Solutions of Delay-Differential Equations with a Restorative Condition
A global existence theorem is given for the periodic solutions of a class of scalar delay-differential equations satisfying a restorative condition. Properties concerning the period and the amplitude of the slowly oscillating periodic solutions are established. The results are applied to a physiological reflex model exhibiting asymmetry of response. It is shown that the model predicts periodic ...
متن کاملWeighted Pseudo Almost Periodic Solutions for Semilinear Boundary Differential Equations
This paper is concerned with the study of weighted pseudo almost periodic mild solutions for semilinear boundary differential equations. Namely, some sufficient conditions for the existence and uniqueness of weighted pseudo almost periodic mild solutions of semilinear boundary differential equations are obtain.
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: Proceedings of the American Mathematical Society
سال: 2006
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-06-08528-5