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On the existence of quasi periodic and almost periodic solutions of neutral functional differential equations
1.  Department of Mathematics, Hanoi University of Science, 334 Nguyen Trai, Hanoi, Vietnam 
2.  Department of Mathematics, Hanoi University of Science, 334 Nguyen Trai, Hanoi, Vietnam 
[1] 
Yongkun Li, Pan Wang. Almost periodic solution for neutral functional dynamic equations with Stepanovalmost periodic terms on time scales. Discrete & Continuous Dynamical Systems  S, 2017, 10 (3) : 463473. doi: 10.3934/dcdss.2017022 
[2] 
Yingte Sun, Xiaoping Yuan. Quasiperiodic solution of quasilinear fifthorder KdV equation. Discrete & Continuous Dynamical Systems, 2018, 38 (12) : 62416285. doi: 10.3934/dcds.2018268 
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Defei Zhang, Ping He. Functional solution about stochastic differential equation driven by $G$Brownian motion. Discrete & Continuous Dynamical Systems  B, 2015, 20 (1) : 281293. doi: 10.3934/dcdsb.2015.20.281 
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Osama Moaaz, Omar Bazighifan. Oscillation criteria for secondorder quasilinear neutral functional differential equation. Discrete & Continuous Dynamical Systems  S, 2020, 13 (9) : 24652473. doi: 10.3934/dcdss.2020136 
[5] 
Changrong Zhu, Bin Long. The periodic solutions bifurcated from a homoclinic solution for parabolic differential equations. Discrete & Continuous Dynamical Systems  B, 2016, 21 (10) : 37933808. doi: 10.3934/dcdsb.2016121 
[6] 
Nicola Guglielmi, Christian Lubich. Numerical periodic orbits of neutral delay differential equations. Discrete & Continuous Dynamical Systems, 2005, 13 (4) : 10571067. doi: 10.3934/dcds.2005.13.1057 
[7] 
Xiao Wang, Zhaohui Yang, Xiongwei Liu. Periodic and almost periodic oscillations in a delay differential equation system with timevarying coefficients. Discrete & Continuous Dynamical Systems, 2017, 37 (12) : 61236138. doi: 10.3934/dcds.2017263 
[8] 
John A. D. Appleby, John A. Daniels. Exponential growth in the solution of an affine stochastic differential equation with an average functional and financial market bubbles. Conference Publications, 2011, 2011 (Special) : 91101. doi: 10.3934/proc.2011.2011.91 
[9] 
Chunhong Li, Jiaowan Luo. Stochastic invariance for neutral functional differential equation with nonlipschitz coefficients. Discrete & Continuous Dynamical Systems  B, 2019, 24 (7) : 32993318. doi: 10.3934/dcdsb.2018321 
[10] 
Xianhua Huang. Almost periodic and periodic solutions of certain dissipative delay differential equations. Conference Publications, 1998, 1998 (Special) : 301313. doi: 10.3934/proc.1998.1998.301 
[11] 
Tomás Caraballo, David Cheban. Almost periodic and almost automorphic solutions of linear differential equations. Discrete & Continuous Dynamical Systems, 2013, 33 (5) : 18571882. doi: 10.3934/dcds.2013.33.1857 
[12] 
Nguyen Thieu Huy, Ngo Quy Dang. Dichotomy and periodic solutions to partial functional differential equations. Discrete & Continuous Dynamical Systems  B, 2017, 22 (8) : 31273144. doi: 10.3934/dcdsb.2017167 
[13] 
Jing Li, Boling Guo, Lan Zeng, Yitong Pei. Global weak solution and smooth solution of the periodic initial value problem for the generalized LandauLifshitzBloch equation in high dimensions. Discrete & Continuous Dynamical Systems  B, 2020, 25 (4) : 13451360. doi: 10.3934/dcdsb.2019230 
[14] 
Burcu Gürbüz. A computational approximation for the solution of retarded functional differential equations and their applications to science and engineering. Journal of Industrial & Management Optimization, 2021 doi: 10.3934/jimo.2021069 
[15] 
Tomás Caraballo, Gábor Kiss. Attractivity for neutral functional differential equations. Discrete & Continuous Dynamical Systems  B, 2013, 18 (7) : 17931804. doi: 10.3934/dcdsb.2013.18.1793 
[16] 
Hernán R. Henríquez, Claudio Cuevas, Alejandro Caicedo. Asymptotically periodic solutions of neutral partial differential equations with infinite delay. Communications on Pure & Applied Analysis, 2013, 12 (5) : 20312068. doi: 10.3934/cpaa.2013.12.2031 
[17] 
Miguel V. S. Frasson, Patricia H. Tacuri. Asymptotic behaviour of solutions to linear neutral delay differential equations with periodic coefficients. Communications on Pure & Applied Analysis, 2014, 13 (3) : 11051117. doi: 10.3934/cpaa.2014.13.1105 
[18] 
Changchun Liu, Hui Tang. Existence of periodic solution for a CahnHilliard/AllenCahn equation in two space dimensions. Evolution Equations & Control Theory, 2017, 6 (2) : 219237. doi: 10.3934/eect.2017012 
[19] 
Benjamin B. Kennedy. A periodic solution with nonsimple oscillation for an equation with statedependent delay and strictly monotonic negative feedback. Discrete & Continuous Dynamical Systems  S, 2020, 13 (1) : 4766. doi: 10.3934/dcdss.2020003 
[20] 
Ernest Fontich, Rafael de la Llave, Yannick Sire. A method for the study of whiskered quasiperiodic and almostperiodic solutions in finite and infinite dimensional Hamiltonian systems. Electronic Research Announcements, 2009, 16: 922. doi: 10.3934/era.2009.16.9 
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