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1.
In this paper, we give a definition of pseudo almost periodic sequence and study the existence of pseudo almost periodic sequence to difference equation. Based on these, we investigate the existence of pseudo almost periodic solutions to differential equations with piecewise constant arguments which was considered by K. L. Cooke & J. Wiener and found applications in certain biomedical problems. 相似文献
2.
PSEUDO ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH
PIECEWISE CONSTANT ARGUMENT 总被引:7,自引:0,他引:7
51.IntroductionDifferentialequationswithpiecewiseconstantarguments(DEPCA)candescribehybriddynandcalsystemsandthereforecombinepropertiesofbothdtherentialequationsanddifferenceeqllations.Theyhaveapplicationsincertainbiomedicalmodels[1].In[2,3]andthereferencesthereintherehavebeenalotofresultsconcerningDEPCA.Nevertheless,allofthemdealtwiththestabilityperiodicity,andoscillationetc-ofsolutionsofDEPCA.Re-cently,[4]disscusedtheetistenceofalInostperiodicsolutionsofDEPCA.Inthispaper,wedefineps… 相似文献
3.
袁荣 《中国科学A辑(英文版)》2002,45(4):484-502
A new class of ergodic sequences, pseudo almost periodic sequence, is introduced, and the existence of pseudo almost periodic
sequence to difference equation is studied. Based on these, we investigate the existence of pseudo almost periodic solutions
for a nonautonomous, singularly perturbed differential equations with piecewise constant argument. 相似文献
4.
Daxiong Piao 《中国科学A辑(英文版)》2001,44(9):1156-1161
In this paper, we investigate the existence and uniqueness of new almost periodic type solutions, so-called pseudo almost
periodic solutions for the systems of differential equations with piecewise constant argument by means of introducing the
notion of pseudo almost periodic vector sequences 相似文献
5.
PIAO Daxiong 《中国科学A辑(英文版)》2001,44(9)
In this paper, we investigate the existence and uniqueness of new almost periodic type solutions, so-called pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument by means of introducing the notion of pseudo almost periodic vector sequences. 相似文献
6.
PIAO DaxiongDepartment of Mathematics Ocean University of China Qingdao China 《中国科学A辑(英文版)》2004,47(1):31-38
In this paper we investigate the existence and uniqueness of pseudo almost periodic solutions and unboundedness of other solutions for the systems of differential equations with piecewise constant argument [t + 1/2] by means of new notion of pseudo almost periodic vector sequences. The case in which the characteristic equation has multiple roots is considered. 相似文献
7.
Toka Diagana Eduardo M. Hernández 《Journal of Mathematical Analysis and Applications》2007,327(2):776-791
The paper considers the existence and uniqueness of pseudo almost periodic (mild) solutions to some classes of first-order partial neutral functional-differential equations. Upon making some suitable assumptions, existence and uniqueness results are obtained. Applications include both a partial integro-differential equation arising in control systems and the scalar reaction-diffusion equation with delay. 相似文献
8.
We establish new theorems for the composition of pseudo almost periodic and pseudo almost automorphic functions in Banach spaces. Our results extend the recent ones [H. Li, F. Huang and J. Li, Composition of pseudo almost-periodic functions and semilinear differential equations, J. Math. Anal. Appl. 255 (2001), pp. 436–446; J. Liang, J. Zhang, T.J. Xiao, Composition of pseudo almost automorphic and asymptotically almost automorphic functions, J. Math. Anal. Appl. 340 (2001), pp. 1493–1499]. We also study some sufficient conditions for the continuity of the superposition operator. As an application to the abstract results, we give some existence theorems of pseudo almost periodic/automorphic solutions for some semilinear evolution equations and examples with the heat equation. 相似文献
9.
YUAN Rong 《中国科学A辑(英文版)》2000,43(4):371-383
A definition of pseudo almost periodic sequence is given and the existence of pseudo almost periodic sequence to difference
equation is studied. Based on these, the existence of pseudo almost periodic solutions to neutral delay differential equations
with piecewise constant argument is investigated 相似文献
10.
Zuomao Yan Fangxia Lu 《Stochastics An International Journal of Probability and Stochastic Processes》2019,91(4):553-591
In this paper, we study the piecewise pseudo almost periodicity in distribution for a stochastic process. Using the analytic semigroup theory and fixed point strategy with stochastic analysis theory, we obtain the existence and the exponential stability of piecewise pseudo almost periodic in distribution mild solutions for impulsive partial neutral stochastic functional differential equations under non-Lipschitz conditions. Moreover, an example is given to illustrate the general theorems. 相似文献
11.
In this work, we present some existence theorems of weighted pseudo almost periodic solutions for N-th order neutral differential equations with piecewise constant argument by means of weighted pseudo almost periodic solutions of relevant difference equations. 相似文献
12.
This paper is concerned with a class of first order differential iterative equations. Under proper conditions, we employ a novel argument to establish a criterion on the existence of pseudo almost periodic solutions. The obtained result complements with some existing ones. 相似文献
13.
Toka Diagana 《Journal of Mathematical Analysis and Applications》2009,350(1):18-6548
This paper is concerned with the study of weighted pseudo almost periodic solutions to some classes of hyperbolic differential equations. Upon making some suitable assumptions, the existence and uniqueness of a weighted pseudo almost periodic solution is obtained. To illustrate our main result, we study the existence of a weighted pseudo almost periodic solution to a system of partial differential equations arising in control systems described by abstract retarded functional-differential equations with feedback control. 相似文献
14.
Composition of pseudo almost automorphic and asymptotically almost automorphic functions 总被引:1,自引:0,他引:1
Jin Liang Jun Zhang Ti-Jun Xiao 《Journal of Mathematical Analysis and Applications》2008,340(2):1493-1499
This paper is concerned with pseudo almost automorphic functions, which are more general and complicated than pseudo almost periodic functions and asymptotically almost automorphic functions. New results, concerning the composition of pseudo almost automorphic functions, are established. 相似文献
15.
The article considers a class of differential iterative equations with biological background. We establish some sufficient conditions for the existence of positive pseudo almost periodic solutions by applying exponential dichotomy and contraction mapping principle. The obtained results extend some known ones. 相似文献
16.
In this work, we give sufficient conditions for the existence and uniqueness of μ?pseudo almost periodic integral solutions for some neutral partial functional differential equations with Stepanov μ?pseudo almost periodic forcing functions. Our working tools are based on the variation of constant formula and the spectral decomposition of the phase space. To illustrate our main results, we give applications to a neutral model arising in physical systems, as well as an application to heat equations with discrete and continuous delay. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
17.
利用伪概周期函数唯一分解性质,研究相关差分方程的伪概周期序列解,并以此为工具得出一类带逐段常变量微分方程伪概周期解的存在唯一性. 相似文献
18.
1IntroductionAsisknown,therehavebeenquiteafewresu1tsontheexistenceofalrilostperiodicsolutionsforordinaryanddelaydifferentialstystems.However,tothebestofourknowledge,therehavenotappearedanycorrespondingresu1tsfOrevenordinarydifferencesystemssofar.Todealwithsuchproblems,wewilldefinethenotionoftheso-calleduni-formlyalmostperiodicsequencesbesidesthealmostsequencesandasymptoti-callyalmostsequences.Thenweprovidethecriteriaandthebasicpropertiesofuniformlyalmostperiodicsequenceswhichareneededinestabl… 相似文献
19.
In this paper, we study the existence of almost periodic type solutions of difference equations by means of exponential dichotomy and trichotomy of linear difference equations. 相似文献
20.
Weighted pseudo‐almost periodic functions on time scales with applications to cellular neural networks with discrete delays 下载免费PDF全文
In this paper, we first propose a concept of weighted pseudo‐almost periodic functions on time scales and study some basic properties of weighted pseudo‐almost periodic functions on time scales. Then, we establish some results about the existence of weighted pseudo‐almost periodic solutions to linear dynamic equations on time scales. Finally, as an application of our results, we study the existence and global exponential stability of weighted pseudo‐almost periodic solutions for a class of cellular neural networks with discrete delays on time scales. The results of this paper are completely new. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献