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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 1
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Original Articles

Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations

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Pages 11-27 | Received 28 Aug 2009, Accepted 30 Sep 2009, Published online: 19 Jan 2010

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Adel M. Alimi, Safoua Khelifi & Mohsen Miraoui. (2023) The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays. International Journal of Computer Mathematics 100:6, pages 1284-1302.
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Khalil Ezzinbi & Mohsen Miraoui. (2015) μ-Pseudo Almost Periodic and Automorphic Solutions in the α-Norm for Some Partial Functional Differential Equations. Numerical Functional Analysis and Optimization 36:8, pages 991-1012.
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Joël Blot, Philippe Cieutat & Khalil Ezzinbi. (2013) New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications. Applicable Analysis 92:3, pages 493-526.
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Articles from other publishers (31)

Jin Gao, Lihua Dai & Hongying Jiang. (2023) Stability analysis of pseudo almost periodic solutions for octonion-valued recurrent neural networks with proportional delay. Chaos, Solitons & Fractals 175, pages 114061.
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Yifan Xing & Hong-Xu Li. (2022) Pseudo almost periodic solutions and global exponential stability of a generalized population model with delays and harvesting term. Computational and Applied Mathematics 41:8.
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James Larrouy & Gaston M. N’Guérékata. (2022) Measure -Pseudo-Almost Periodic Functions and Lasota-Wazewska Model with Ergodic and Unbounded Oscillating Oxygen Demand . Abstract and Applied Analysis 2022, pages 1-18.
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Moumini Kere, Gaston Mandata Guerekata & Enock R. Oueama. (2022) An existence result of $\mu $-pseudo almost automorphic solutions of Clifford-valued semi-linear delay differential equations. Malaya Journal of Matematik 09:02, pages 129-140.
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Ramazan Yazgan & Osman Tunç. (2021) The analysis of some special results of a Lasota–Wazewska model with mixed variable delays. Advances in Difference Equations 2021:1.
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Kamal Khalil, Marko Kostić & Manuel Pinto. (2021) Stepanov pseudo‐almost periodic functions and applications. Mathematical Methods in the Applied Sciences 44:18, pages 13894-13919.
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Manel Amdouni, Farouk Chérif & Jehad Alzabut. (2021) Pseudo almost periodic solutions and global exponential stability of a new class of nonlinear generalized Gilpin–Ayala competitive model with feedback control with delays. Computational and Applied Mathematics 40:3.
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Mohsen Miraoui & Dušan D. Repovš. (2020) Dynamics and oscillations of models for differential equations with delays. Boundary Value Problems 2020:1.
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Jin Liang, G. N’Guérékata & Ti-Jun Xiao. (2019) 𝛼∼𝑙 relatively dense sets and weighted pseudo almost periodic phenomenon. Proceedings of the American Mathematical Society 148:2, pages 687-696.
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Manel Amdouni & Farouk Chérif. (2020) ( µ , η )-pseudo almost automorphic solutions of a new class of competitive Lotka-Volterra model with mixed delays . Nonautonomous Dynamical Systems 7:1, pages 249-271.
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Fritz Mbounja Béssémè, David Békollè, Khalil Ezzinbi, Samir Fatajou & Duplex Elvis Houpa Danga. (2020) Convolutions in µ -pseudo almost periodic and µ -pseudo almost automorphic function spaces and applications to solve Integral equations . Nonautonomous Dynamical Systems 7:1, pages 32-52.
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Yongkun Li, Yaolu Wang & Bing Li. (2019) The Existence and Global Exponential Stability of $${\varvec{\mu }}$$-Pseudo Almost Periodic Solutions of Clifford-Valued Semi-linear Delay Differential Equations and an Application. Advances in Applied Clifford Algebras 29:5.
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Farouk Chérif & Mohsen Miraoui. (2019) New results for a Lasota–Wazewska model. International Journal of Biomathematics 12:02, pages 1950019.
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Mamadou Abdoul Diop, Khalil Ezzinbi & Mamadou Moustapha Mbaye. (2015) Measure Theory and Square-Mean Pseudo Almost Periodic and Automorphic Process: Application to Stochastic Evolution Equations. Bulletin of the Malaysian Mathematical Sciences Society 41:1, pages 287-310.
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Mamadou Moustapha Mbaye. (2016) Square-mean $$\mu $$ μ -pseudo almost periodic and automophic solutions for a class of semilinear integro-differential stochastic evolution equations. Afrika Matematika 28:3-4, pages 643-660.
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Mamadou Abdoul Diop, Khalil Ezzinbi & Mamadou Moustapha Mbaye. (2017) Existence and global attractiveness of a square-mean μ-pseudo almost automorphic solution for some stochastic evolution equation driven by Lévy noise. Mathematische Nachrichten 290:8-9, pages 1260-1280.
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Aníbal Coronel, Christopher Maulén, Manuel Pinto & Daniel Sepúlveda. (2017) Almost automorphic delayed differential equations and Lasota-Wazewska model. Discrete & Continuous Dynamical Systems - A 37:4, pages 1959-1977.
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Mamadou Moustapha Mbaye. (2016) Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients S 2 −almost automorphic . Nonautonomous Dynamical Systems 3:1, pages 85-103.
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Zhenbin Fan, Qixiang Dong & Gang Li. (2016) Compositions of pseudo almost automorphic functions via measure theory and applications. Journal of Integral Equations and Applications 28:2.
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Mounir Ben Salah, Khalil Ezzinbi & Amor Rebey. (2015) Pseudo-almost Periodic and Pseudo-almost Automorphic Solutions to Evolution Equations in Hilbert Spaces. Mediterranean Journal of Mathematics 13:2, pages 703-717.
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Farouk Chérif. (2015) Pseudo almost periodic solution of Nicholson’s blowflies model with mixed delays. Applied Mathematical Modelling 39:17, pages 5152-5163.
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Mamadou Abdoul Diop, Khalil Ezzinbi & Mamadou Moustapha Mbaye. (2014) Measure theory and $$S^{2}$$ S 2 -pseudo almost periodic and automorphic process: application to stochastic evolution equations. Afrika Matematika 26:5-6, pages 779-812.
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Desheng Ji & Chuanyi Zhang. (2014) Pseudo almost periodic weak solutions of a semilinear elliptic equation. Advances in Difference Equations 2014:1.
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Hui-Sheng Ding, Jin Liang & Ti-Jun Xiao. (2014) Weighted pseudo almost automorphic functions and WPAA solutions to semilinear evolution equations. Journal of Mathematical Analysis and Applications 409:1, pages 409-427.
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Joël Blot, Souhila Boudjema & Philippe Cieutat. (2013) Several kinds of oscillations in forced Liénard equations. Boundary Value Problems 2013:1.
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Elhadi Ait Dads, Samir Fatajou & Lahcen Khachimi. (2012) Pseudo Almost Automorphic Solutions for Differential Equations Involving Reflection of the Argument. ISRN Mathematical Analysis 2012, pages 1-20.
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Joël Blot, Philippe Cieutat & Khalil Ezzinbi. (2012) Measure theory and pseudo almost automorphic functions: New developments and applications. Nonlinear Analysis: Theory, Methods & Applications 75:4, pages 2426-2447.
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Zhenbin Fan, Jin Liang & Ti-Jun Xiao. (2012) Composition of Stepanov-like pseudo almost automorphic functions and applications to nonautonomous evolution equations. Nonlinear Analysis: Real World Applications 13:1, pages 131-140.
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Farouk Chérif. 2012. Artificial Neural Networks and Machine Learning – ICANN 2012. Artificial Neural Networks and Machine Learning – ICANN 2012 17 24 .
Zhenbin Fan, Jin Liang & Ti-Jun Xiao. (2011) On Stepanov-like (pseudo) almost automorphic functions. Nonlinear Analysis: Theory, Methods & Applications 74:8, pages 2853-2861.
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Philippe Cieutat & Khalil Ezzinbi. (2011) Almost automorphic solutions for some evolution equations through the minimizing for some subvariant functional, applications to heat and wave equations with nonlinearities. Journal of Functional Analysis 260:9, pages 2598-2634.
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