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A new composition theorem for sp-weighted pseudo almost periodic functions and applications to semilinear differential equations

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Języki publikacji
EN
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EN
In this paper, we establish a new composition theorem for Sp-weighted pseudo almost periodic functions under weaker conditions than the Lipschitz ones currently encountered in the literatures. We apply this new composition theorem along with the Schauder's fixed point theorem to obtain new existence theorems for weighted pseudo almost periodic mild solutions to a semilinear differential equation in a Banach space.
Rocznik
Strony
457--474
Opis fizyczny
Bibliogr. 28 poz.
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autor
autor
Bibliografia
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  • [9] T. Diagana, G.M. Mophou, G.M. N’Guérékata, Existence of weighted pseudo almost periodic solutions to some classes of differential equations with Sp-weighted pseudo almost periodic coefficients, Nonlinear Anal. TMA 72 (2010) 1, 430–438.
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  • [26] Y.K. Chang, Z.H. Zhao, J.J. Nieto, Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to semi-linear differential equations in Hilbert spaces, Revista Matemática Complutense (2010), DOI: 10.1007/s13163-010-0047-2.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0005-0072
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