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Existence of μ-Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Partial Evolution Equations
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作者 baazaoui riadh 《Journal of Partial Differential Equations》 CSCD 2018年第1期1-16,共16页
In this paper, we use a recent works [5], where the authors provide a new ap-proach for pseudo almost periodic solution under the measure theory, under Acquistpace-Terreni conditions, we make extensive use of interpol... In this paper, we use a recent works [5], where the authors provide a new ap-proach for pseudo almost periodic solution under the measure theory, under Acquistpace-Terreni conditions, we make extensive use of interpolation spaces and exponential di-chotomy techniques to obtain the existence of μ-pseudo almost periodic solutions tosome classes of nonautonomous partial evolution equations. 展开更多
关键词 evolution family exponential dichotomy Acquistapace and Terreni conditions al-most periodic pseudo almost periodic under the light measure evolution equation nonau-tonomous equation.
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Review and Study of Some Doubly-Weighted Pseudo-almost Periodic Solutions of Some Partial Evolution Equations
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作者 baazaoui riadh 《Journal of Partial Differential Equations》 CSCD 2017年第1期11-30,共20页
In this work, a characterization of the doubly-weighted Bohr spectrum of an almost periodic function is given. We showed precisely that such a spectrum is either empty or coincides with the Bohr spectrum of that funct... In this work, a characterization of the doubly-weighted Bohr spectrum of an almost periodic function is given. We showed precisely that such a spectrum is either empty or coincides with the Bohr spectrum of that function. Next, we investigate the existence of doubly-weighted pseudo-almost periodic solutions to some classes of non-autonomous partial evolution equations. 展开更多
关键词 Evolution family exponential dichotomy acquistapace and Terreni conditions doublyweighted pseudo-almost periodic evolution equation nonautonomous equation.
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