共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper, we reveal several basic properties about nonlinear vector-valued weighted pseudo almost automorphic functions, including equivalence, completeness, translation invariance, composition theorem, and convolution theorem of these functions. We also give some concrete examples to illustrate our results. Finally, we obtain a new existence theorem of nonlinear weighted pseudo almost automorphic solutions for semilinear evolution equations in Banach spaces. 相似文献
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首先引入h型Stepanov 加权伪概自守函数和∞型Stepanov加权伪概自守函数的概念, 接着建立了其函数空间的完备性以及相应组合定理, 最后证明了一类非自治无穷时滞偏中立型泛函微分方程在Sp-加权伪概自守系数下加权伪概自守解的存在唯一性. 相似文献
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Yihong Song 《Journal of Difference Equations and Applications》2013,19(9):971-986
The existence of almost periodic solutions of nonlinear Volterra difference equations with unbounded delay is obtained by using uniform stability properties of a bounded solution. An example is also given to illustrate obtained results. 相似文献
4.
Existence of $\mu$-pseudo almost automorphic solutions to abstract partial neutral functional differential equations with infinite delay 下载免费PDF全文
Yong-Kui Chang G. M. N''Gu ''{e}r ''{e}kat Rui Zhang 《Journal of Applied Analysis & Computation》2016,6(3):628-664
In this article, we introduce and investigate the concept of $\mu$-Stepanov-like pseudo almost automorphic functions of class $h$ and class infinity via measure theory. We present new results on completeness and composition theorems for the space of such functions. To illustrate our main results, we provide some applications to an abstract partial neutral functional differential equation with infinite delay. 相似文献
5.
Of concern is a class of abstract semilinear integrodifferential equations with nonlocal initial conditions. Under some suitable hypotheses, we establish some new theorems about the existence of asymptotically almost automorphic solutions to the integrodifferential equations. Moreover, an example is given to illustrate our results. 相似文献
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M. Baroun L. Maniar G.M. NGurkata 《Nonlinear Analysis: Theory, Methods & Applications》2008,69(7):2114-2124
In this paper, we study the existence and uniqueness of almost periodic and almost automorphic solutions to the semilinear parabolic boundary differential equations where AAm|kerL generates a hyperbolic analytic semigroup on a Banach space X. The functions h and are defined on some intermediate subspaces Xβ,0<β<1, and take values in X and in a boundary space ∂X respectively. 相似文献
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In this paper, applying the theory of semigroups of operators to evolution family and Banach fixed point theorem, we prove the existence and uniqueness of an (a) almost automorphic (weighted pseudo almost automorphic) mild solution of the semilinear evolution equation x′(t)=A(t)x(t)+f(t,x(t)) in Banach space under conditions. 相似文献
9.
This article is concerned with some properties of Stepanov-like almost automorphic (S p -a.a.) functions. We establish a composition theorem about S p -a.a. functions, and with its help, study the existence and uniqueness of almost automorphic solutions for semilinear evolution equations in Banach spaces. Moreover, integration and differentiation of S p -a.a. functions are discussed. Some theorems extend earlier results. 相似文献
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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
13.
Bruno de Andrade Claudio Cuevas Erwin Henríquez 《Mathematical Methods in the Applied Sciences》2012,35(7):795-811
This work deals with the existence of asymptotically periodic (resp. asymptotically almost automorphic) solutions for a class of Volterra integro‐differential equations. As application, we examine sufficient conditions for the existence of asymptotically periodic (resp. asymptotically almost automorphic) mild solutions of an equation arising in the study of heat conduction in materials with memory. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
14.
In this paper, we establish a new composition theorem about Stepanov-like pseudo almost automorphic functions under the local Lipschitz condition. Using this composition theorem, we also study the existence and uniqueness of pseudo almost automorphic solutions for nonautonomous evolution equations. Our results extend many recent known ones on these topics. 相似文献
15.
Philippe Cieutat 《Journal of Mathematical Analysis and Applications》2009,354(2):494-2634
We give sufficient conditions ensuring the existence, uniqueness and global attractiveness of a pseudo compact almost automorphic solution of the following differential equation:
x′(t)=f(t,x(t)) 相似文献
16.
Zhenbin Fan Jin Liang Ti-Jun Xiao 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(8):2853-2861
We prove new composition theorems for Stepanov-like almost automorphic and Stepanov-like pseudo-almost automorphic functions. An application is given to a class of evolution equations with Stepanov-like pseudo-almost automorphic perturbations. 相似文献
17.
This article is concerned with a class of non-linear delay integral equations, which unify some extensively studied delay integral equations. We establish a new existence and uniqueness theorem about positive almost automorphic solutions of the delay integral equations. Our theorem can deal with some cases to which many known results are not applicable. Two examples are given to illustrate our results. 相似文献
18.
μ‐Pseudo almost automorphic solutions of abstract fractional integro‐differential neutral equations with an infinite delay 下载免费PDF全文
Hechmi Hattab 《Mathematical Methods in the Applied Sciences》2017,40(7):2737-2745
The aim of this work is to study μ‐pseudo almost automorphic solutions of abstract fractional integro‐differential neutral equations with an infinite delay. Thanks to some restricted hypothesis on the delayed data in the phase space, we ensure the existence of the ergodic component of the desired solution. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
19.
In this paper, we introduce a new concept of bi-almost automorphic functions and obtain new existence and uniqueness theorems for pseudo-almost automorphic mild solutions to several nonautonomous differential equations. Moreover, two examples are given to illustrate the general theorems. 相似文献
20.
We consider the existence and uniqueness of a Stepanov-like almost automorphic solution to the nonautonomous semilinear evolution equations with a constant delay: where , generates an exponentially stable evolution family {U(t,s)} and satisfies a Lipschitz condition with respect to the second argument. 相似文献