Wang, Baishun; Zhou, Jun Conformable exponential dichotomy and roughness of conformable fractional differential equation. (English) Zbl 07960346 J. Appl. Anal. Comput. 15, No. 2, 1170-1202 (2025). MSC: 34D09 34A08 37D25 × Cite Format Result Cite Review PDF Full Text: DOI
Elorreaga, Helí; Gómez, Adrián Exponential dichotomy for a class of asymptotically autonomous delayed differential equations. (English) Zbl 07957116 Math. Z. 309, No. 1, Paper No. 11, 27 p. (2025). MSC: 34K20 34K06 34D09 37B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
López-de-la-Cruz, Javier; Oliveira-Sousa, Alexandre N. SIR models with vital dynamics, reinfection, and randomness to investigate the spread of infectious diseases. (English) Zbl 07954677 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108359, 15 p. (2025). MSC: 92D30 37B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Jiahui The Hartman-Grobman theorem for mean hyperbolic systems. (English) Zbl 07948466 Discrete Contin. Dyn. Syst., Ser. B 30, No. 2, 402-421 (2025). MSC: 37D25 35L90 × Cite Format Result Cite Review PDF Full Text: DOI
Gallegos, Claudio A.; Robledo, Gonzalo Criterion for exponential dichotomy of periodic generalized linear differential equations and an application to admissibility. (English) Zbl 07957704 J. Dyn. Differ. Equations 36, No. 4, 3949-3965 (2024). MSC: 34A06 34D09 34A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thieu Huy Nguyen; Thi Ngoc Ha Vu Dichotomy gap conditions, admissible spaces, and inertial manifolds. (English) Zbl 07957691 J. Dyn. Differ. Equations 36, No. 4, 3623-3642 (2024). MSC: 35B42 35B35 35K58 35K90 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Backes, Lucas; Dragičević, Davor; Onitsuka, Masakazu; Pituk, Mihály Conditional Lipschitz shadowing for ordinary differential equations. (English) Zbl 07957687 J. Dyn. Differ. Equations 36, No. 4, 3535-3552 (2024). MSC: 34D10 37D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bui, Xuan-Quang; Minh, Nguyen Van; Thuan, Do Duc Stability radius and dichotomy radius of infinite-dimensional linear systems under unbounded perturbations via Yosida distance. (English) Zbl 07954041 Syst. Control Lett. 193, Article ID 105929, 7 p. (2024). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Demidenko, Gennadiĭ Vladimirovich; Bondar’, Anna Aleksandrovna; Ganzhaeva, Mardona Shavkat kizi Exponential dichotomy for systems of difference equations under perturbation of coefficients. (Russian. English summary) Zbl 07951749 Chelyabinskiĭ Fiz.-Mat. Zh. 9, No. 4, 561-572 (2024). MSC: 39A30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kpoumié, M. E.; Nsangou, A. H. G.; Zouine, A. Almost automorphic solutions for Lotka-Volterra systems with diffusion and time-dependent parameters. (English) Zbl 07927159 Matematiche 79, No. 1, 205-234 (2024). Reviewer: Mohamed Zitane (Meknès) MSC: 35B15 34K14 35K58 35K90 43A60 × Cite Format Result Cite Review PDF Full Text: DOI
Boruga (Toma), Rovana On uniform dichotomies for the growth rates of linear discrete-time dynamical systems in Banach spaces. (English) Zbl 07924173 Olaru, Sorin (ed.) et al., Difference equations, discrete dynamical systems and applications. IDCEA 2022. Selected papers based on the presentations at the 27th international conference, Gif-sur-Yvette, France, June 18–22, 2022. Cham: Springer. Springer Proc. Math. Stat. 444, 175-188 (2024). MSC: 39A30 37C75 × Cite Format Result Cite Review PDF Full Text: DOI
Bui, Xuan-Quang; van Minh, Nguyen Yosida distance and existence of invariant manifolds in the infinite-dimensional dynamical systems. (English) Zbl 07910782 Proc. Am. Math. Soc. 152, No. 10, 4285-4300 (2024). MSC: 34G10 34D20 34C45 34D09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Langa, José A.; Obaya, Rafael; Oliveira-Sousa, Alexandre N. New notion of nonuniform exponential dichotomy with applications to the theory of pullback and forward attractors. (English) Zbl 1547.35090 Nonlinearity 37, No. 10, Article ID 105009, 41 p. (2024). MSC: 35B40 35B41 34D09 34D45 35K90 35K91 37L45 37C65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Mengda; Pinto, Manuel; Xia, Yonghui The relation between \(\mu\)-dichotomy spectrum and Sacker-Sell spectrum. (English) Zbl 07909843 Bull. Sci. Math. 196, Article ID 103493, 19 p. (2024). MSC: 37C75 37C15 34D30 × Cite Format Result Cite Review PDF Full Text: DOI
Bonotto, Everaldo M.; Carvalho, Alexandre N.; Nascimento, Marcelo J. D.; Santiago, Eric B. Lower semicontinuity of pullback attractors for a non-autonomous coupled system of strongly damped wave equations. (English) Zbl 1547.35111 Appl. Math. Optim. 90, No. 1, Paper No. 27, 47 p. (2024). MSC: 35B41 35L53 37B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Weijie; Pinto, Manuel; Xia, Yonghui Topological equivalence of nonhyperbolic nonautonomous systems. (English) Zbl 07905811 J. Math. Anal. Appl. 539, No. 2, Article ID 128547, 14 p. (2024). MSC: 37C60 37C15 37C75 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ying Exponential time complexity of the complex weighted Boolean #CSP. (English) Zbl 07900286 Wu, Weili (ed.) et al., Computing and combinatorics. 29th international conference, COCOON 2023, Hawaii, HI, USA, December 15–17, 2023. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 14422, 83-96 (2024). MSC: 68Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Long, Bin; Yang, Yiying Applying Lin’s method to constructing heteroclinic orbits near the heteroclinic chain. (English) Zbl 07883079 Math. Methods Appl. Sci. 47, No. 12, 10235-10255 (2024). MSC: 34C23 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Barreira, Luis; Valls, Claudia Perturbations of tempered spectra. (English) Zbl 1547.37049 Linear Multilinear Algebra 72, No. 9, 1403-1417 (2024). MSC: 37D99 15A18 39A06 47A55 47A11 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Jiahui; Li, Yong Admissibility and mean hyperbolicity for evolution equations. (English) Zbl 07863183 Bull. Sci. Math. 193, Article ID 103435, 30 p. (2024). Reviewer: Hristo S. Kiskinov (Plovdiv) MSC: 34D09 34C11 34G20 37L45 × Cite Format Result Cite Review PDF Full Text: DOI
Czornik, Adam; Kitzing, Konrad; Siegmund, Stefan The new notion of Bohl dichotomy for non-autonomous difference equations and its relation to exponential dichotomy. (English) Zbl 07841653 J. Difference Equ. Appl. 30, No. 5, 626-658 (2024). Reviewer: Antonio Linero Bas (Murcia) MSC: 39A05 39A30 39A12 37B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pinto, Manuel; Poblete, Felipe; Xia, Yonghui New class of perturbations for nonuniform exponential dichotomy roughness. (English) Zbl 1544.34110 J. Differ. Equations 393, 369-412 (2024). Reviewer: David Cheban (Chişinău) MSC: 34G10 34D09 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Ait Dads, El Hadi; Es-sebbar, Brahim; Fatajou, Samir; Zizi, Zakaria Eberlein-weakly almost periodic solutions for some partial functional differential equation with infinite delay. (English) Zbl 1539.34078 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 125, 29 p. (2024). Reviewer: Khalil Ezzinbi (Marrakech) MSC: 34K14 34K30 37C60 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Dragičević, Davor; Zhang, Weinian; Zhou, Linfeng Measurable weighted shadowing for random dynamical systems on Banach spaces. (English) Zbl 1541.37058 J. Differ. Equations 392, 364-386 (2024). MSC: 37H30 37B65 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Hailong Robustness of nonuniform mean-square exponential dichotomies. (English) Zbl 07817027 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 2, 525-567 (2024). MSC: 60H10 34D09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Mengda; Xia, Yonghui Is the Sacker-Sell type spectrum equal to the contractible set? (English) Zbl 1539.34100 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 2, 353-380 (2024). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 34N05 26E70 34D09 34A30 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Barreira, Luís; Valls, Claudia Spectra and normal forms. (English) Zbl 1540.37001 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-031-51896-6/pbk; 978-3-031-51897-3/ebook). x, 133 p. (2024). MSC: 37-02 39-02 37G05 37B55 37C15 34C45 34D09 39A05 39A30 × Cite Format Result Cite Review PDF Full Text: DOI
Dhama, Soniya; Castillo, Samuel; Abbas, Syed; Pinto, Manuel Existence and roughness of nonuniform exponential dichotomies on time scales. (English) Zbl 07808442 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 90, 36 p. (2024). MSC: 26E70 34D09 54E15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Junyilang; Shen, Jun Persistence of smooth manifolds for a non-autonomous coupled system under small random perturbations. (English) Zbl 1537.37099 J. Differ. Equations 387, 200-255 (2024). MSC: 37L55 37L25 37L15 60H15 37D10 × Cite Format Result Cite Review PDF Full Text: DOI
Milojević, P. S. On the solvability and the dimension of the solution set of abstract linear boundary value problems and applications to ODE’s. (English) Zbl 07802009 J. Math. Anal. Appl. 534, No. 1, Article ID 128029, 26 p. (2024). MSC: 47A50 34B05 × Cite Format Result Cite Review PDF Full Text: DOI
Akrid, Thami; Baroun, Mahmoud \(\mu\)-pseudo almost periodic solutions to some semilinear boundary equations on networks. (English) Zbl 1538.34233 Afr. Mat. 35, No. 1, Paper No. 10, 25 p. (2024). MSC: 34G20 47D06 34C27 34D09 92B20 34B45 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Mengda; Xia, Yonghui Linearization of a nonautonomous unbounded system with hyperbolic linear part: a spectral approach. (English) Zbl 1529.34042 Discrete Contin. Dyn. Syst. 44, No. 2, 491-522 (2024). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 34C20 34D09 37D20 37D25 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Backes, Lucas; Dragičević, Davor; Tang, Xiao Parameterized shadowing for nonautonomous dynamics. (English) Zbl 1527.37028 J. Math. Anal. Appl. 529, No. 1, Article ID 127584, 25 p. (2024). MSC: 37C60 37C50 37C75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dragičević, Davor On the robustness property of nonuniform exponential dichotomies. (English) Zbl 1540.39014 Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 183-198 (2023). MSC: 39A30 47B65 × Cite Format Result Cite Review PDF Full Text: DOI
Dragičević, Davor; Zhang, Weinian; Zhou, Linfeng One admissible critical pair without Lyapunov norm implies a tempered exponential dichotomy for Met-systems. (English) Zbl 1537.37061 Stoch. Dyn. 23, No. 7, Article ID 2350053, 22 p. (2023). MSC: 37H15 37H30 × Cite Format Result Cite Review PDF Full Text: DOI
Grines, V. Z.; Lerman, L. M. Gradient-like diffeomorphisms and periodic vector fields. (English) Zbl 1535.37031 Mosc. Math. J. 23, No. 4, 533-544 (2023). MSC: 37C60 37C05 37C15 37B35 × Cite Format Result Cite Review PDF Full Text: Link
Miraoui, Mohsen; Missaoui, Marwa Existence and exponential stability of the piecewise pseudo almost periodic mild solution for some partial impulsive stochastic neutral evolution equations. (English) Zbl 1538.34239 Math. Methods Appl. Sci. 46, No. 16, 16644-16671 (2023). MSC: 34G20 34A37 60H10 34C27 34D09 34F05 34D20 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Khalil, Kamal Positive almost periodic solutions of nonautonomous evolution equations and application to Lotka-Volterra systems. (English) Zbl 1538.34237 Math. Methods Appl. Sci. 46, No. 11, 11780-11801 (2023). MSC: 34G20 47D06 34D09 37C60 34C27 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Stefanidou, Gesthimani; Papaschinopoulos, Garyfalos Asymptotic behavior of the solutions of a partial differential equation with piecewise constant argument. (English) Zbl 1529.35072 Math. Methods Appl. Sci. 46, No. 1, 895-910 (2023). MSC: 35B40 34K05 34K20 39A10 × Cite Format Result Cite Review PDF Full Text: DOI
Boichuk, Oleksandr; Bihun, Dmytro; Pokutnyi, Oleksandr \(\nu, \mu\) dichotomy and bounded solutions of differential equations. (English) Zbl 1538.34207 Miskolc Math. Notes 24, No. 3, 1223-1234 (2023). MSC: 34D09 47A53 34A30 34C11 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Fengling; Li, Yangrong Mean-square invariant manifolds for stochastic weak-damping wave equations with nonlinear noise. (English) Zbl 1530.37099 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2649-2671 (2023). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37L25 37L55 37L15 37H30 37D10 60H15 35B42 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Megan, Mihail; Găină, Ariana; Boruga (Toma), Rovana On dichotomy with differentiable growth rates for skew-evolution cocycles in Banach spaces. (English) Zbl 07762615 Ann. Acad. Rom. Sci., Math. Appl. 15, No. 1-2, 473-490 (2023). MSC: 37B25 37C75 37A30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ji; Yu, Qing Simple and multiple traveling waves in a reaction-diffusion-mechanics model. (English) Zbl 1526.35109 J. Differ. Equations 377, 578-621 (2023). MSC: 35C07 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Buică, Adriana Addendum to: “Ulam-Hyers stability and exponentially dichotomic equations in Banach spaces”. (English) Zbl 1538.34208 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 43, 2 p. (2023). MSC: 34D10 34G10 34D09 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Buică, Adriana Ulam-Hyers stability and exponentially dichotomic equations in Banach spaces. (English) Zbl 1538.47068 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 8, 10 p. (2023); addendum ibid. 2023, Paper No. 43, 2 p. (2023). MSC: 47D06 34G10 34G20 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Mengda; Xia, Yonghui Admissibility and nonuniform exponential dichotomies for difference equations without bounded growth or Lyapunov norms. (English) Zbl 1525.39003 Proc. Am. Math. Soc. 151, No. 10, 4389-4403 (2023). Reviewer: Tom Cuchta (Huntington) MSC: 39A06 39A22 39A30 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Dildar; Riaz, Usman; Zada, Akbar Exponential and Hyers-Ulam stability of impulsive linear system of first order. (English) Zbl 1524.34132 Differ. Equ. Appl. 15, No. 1, 1-11 (2023). MSC: 34D20 34D09 34A37 34A30 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Nhien, Le Duc; Du, Nguyen Huu; Tien, Le Huy; Hieu, Nguyen Trong Tempered exponential dichotomies for linear random evolution equations. (English) Zbl 1514.60069 Stochastics 95, No. 1, 1-22 (2023). MSC: 60H10 34D09 35R60 37H30 × Cite Format Result Cite Review PDF Full Text: DOI
Ha, Phi; Nguyen, Thieu Huy Exponential dichotomy and stable manifolds for differential-algebraic equations on the half-line. (English) Zbl 1527.34028 J. Dyn. Control Syst. 29, No. 2, 475-500 (2023). Reviewer: Vu Hoang Linh (Hà Nội) MSC: 34A09 34D09 34C45 × Cite Format Result Cite Review PDF Full Text: DOI
Soleimani, L.; RabieiMotlagh, O. Multiple families of bounded solutions near perturbed homoclinic orbits, application to a nonlinear wave equation. (English) Zbl 1521.34049 Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 115, 20 p. (2023). MSC: 34C37 34D09 34C11 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Bell, Jason P.; Gunn, Keira; Nguyen, Khoa D.; Saunders, J. C. A general criterion for the Pólya-Carlson dichotomy and application. (English) Zbl 1546.11133 Trans. Am. Math. Soc. 376, No. 6, 4361-4382 (2023). Reviewer: Sami Omar (Sukhair) MSC: 11M41 11D61 11Z05 37P20 13J05 30B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen Huu Du; Tran Manh Cuong; Ta Thi Trang Bohl-Perron theorem for random dynamical systems. (English) Zbl 1515.37046 Stoch. Dyn. 23, No. 1, Article ID 2350010, 21 p. (2023). MSC: 37H05 37H15 37A50 × Cite Format Result Cite Review PDF Full Text: DOI
Dianda, Abdoul Aziz Kalifa; Ezzinbi, Khalil; Khalil, Kamal Stepanov ergodic perturbations for nonautonomous evolution equations in Banach spaces. (English) Zbl 1521.47114 Adv. Oper. Theory 8, No. 2, Paper No. 21, 23 p. (2023). MSC: 47J35 42A75 43A60 34C27 35K58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Qigui; Liu, Huoxia; Lin, Xiaofang \(p\)-distribution almost periodic solutions of semi-linear stochastic differential equations with \(G\)-Brownian motion. (English) Zbl 07919240 J. Appl. Anal. Comput. 12, No. 6, 2230-2267 (2022). MSC: 92D25 93D20 93E03 × Cite Format Result Cite Review PDF Full Text: DOI
Assel, Hanen; Hammami, Mohamed Ali; Miraoui, Mohsen Dynamics and oscillations for some difference and differential equations with piecewise constant arguments. (English) Zbl 07887042 Asian J. Control 24, No. 3, 1143-1151 (2022). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiujuan; Yang, Xue Affine-periodic solutions for perturbed systems. (English) Zbl 07885971 J. Appl. Anal. Comput. 12, No. 2, 754-769 (2022). MSC: 34C25 34C27 × Cite Format Result Cite Review PDF Full Text: DOI
Mbaye, Mamadou Moustapha; Seydi, Ousmane Almost periodic solution for non autonomous non densely defined Cauchy problems. (English) Zbl 1532.35026 Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the second NLAGA-BIRS symposium, Cap Skirring, Senegal, January 25–30, 2022. Cham: Springer. Trends Math., 217-235 (2022). MSC: 35B15 35K20 35K57 35K90 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Dragičević, Davor; Sasu, Adina Luminiţa; Sasu, Bogdan Admissibility and polynomial dichotomy of discrete nonautonomous systems. (English) Zbl 07752854 Carpathian J. Math. 38, No. 3, 737-762 (2022). MSC: 39A30 39A22 × Cite Format Result Cite Review PDF Full Text: DOI
Lupa, Nicolae; Popescu, Liviu Horia Generalized exponential behavior on the half-line via evolution semigroups. (English) Zbl 1538.34232 Carpathian J. Math. 38, No. 3, 691-705 (2022). MSC: 34G10 34D05 47D06 34D09 × Cite Format Result Cite Review PDF Full Text: DOI
Dragičević, Davor; Sasu, Adina Luminiţa; Sasu, Bogdan On polynomial dichotomies of discrete nonautonomous systems on the half-line. (English) Zbl 07752848 Carpathian J. Math. 38, No. 3, 663-680 (2022). MSC: 39A30 39A22 × Cite Format Result Cite Review PDF Full Text: DOI
Sutrima, Sutrima; Setiyowati, Ririn Equivalent conditions and persistence for uniformly exponential dichotomy. (English) Zbl 1524.34126 Nonlinear Dyn. Syst. Theory 22, No. 3, 341-354 (2022). MSC: 34D09 47D03 34G10 × Cite Format Result Cite Review PDF Full Text: Link
Dragičević, Davor Weighted Hyers-Ulam stability for nonlinear nonautonomous difference equations. (English) Zbl 1538.37010 Sarajevo J. Math. 18(31), No. 1, 97-106 (2022). MSC: 37B55 37B65 37B25 39A30 × Cite Format Result Cite Review PDF Full Text: DOI
Rodrigues, H. M.; Caraballo, T.; Nakassima, G. K. Robustness of exponential dichotomy in a class of generalised almost periodic linear differential equations in infinite dimensional Banach spaces. (English) Zbl 1512.34107 J. Dyn. Differ. Equations 34, No. 4, 2841-2865 (2022). Reviewer: Gonzalo Robledo (Santiago de Chile) MSC: 34G10 34D09 37C60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chu, Ji-feng; Zheng, Zuo-huan; Zhou, Zhe Almost periodic solutions by the harmonic balance method. (English) Zbl 1508.34045 Acta Math. Appl. Sin., Engl. Ser. 38, No. 4, 943-954 (2022). Reviewer: Michal Veselý (Brno) MSC: 34C27 34A45 34D09 × Cite Format Result Cite Review PDF Full Text: DOI
Backes, Lucas; Dragičević, Davor; Pituk, Mihály; Singh, Lokesh Weighted shadowing for delay differential equations. (English) Zbl 1515.34064 Arch. Math. 119, No. 5, 539-552 (2022). Reviewer: Vladimir Răsvan (Craiova) MSC: 34K05 34K25 34K27 × Cite Format Result Cite Review PDF Full Text: DOI
Battelli, Flaviano; Franca, Matteo; Palmer, Kenneth J. Exponential dichotomy for noninvertible linear difference equations: block triangular systems. (English) Zbl 1498.39002 J. Difference Equ. Appl. 28, No. 8, 1054-1086 (2022). Reviewer: Eszter Gselmann (Debrecen) MSC: 39A06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Grines, V. Z.; Lerman, L. M. Nonautonomous vector fields on \(S^3\): simple dynamics and wild embedding of separatrices. (English. Russian original) Zbl 1516.37030 Theor. Math. Phys. 212, No. 1, 903-917 (2022); translation from Teor. Mat. Fiz. 212, No. 1, 15-32 (2022). MSC: 37C60 37C10 37C05 37C20 37C15 37C65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tang, Xiao; Zhang, Wenmeng Smooth dependence of nonautonomous linearization on parameters. (English) Zbl 1506.37027 J. Differ. Equations 337, 1-31 (2022). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C15 37D25 37C75 × Cite Format Result Cite Review PDF Full Text: DOI
Caraballo, Tomás; Carvalho, Alexandre N.; Langa, José A.; Oliveira-Sousa, Alexandre N. Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations. (English) Zbl 1504.37083 Asymptotic Anal. 129, No. 1, 1-27 (2022). MSC: 37L45 37L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Trinh Viet Duoc Admissible, bounded and periodic solutions of semilinear evolution equations on the line. (English) Zbl 1505.34099 J. Integral Equations Appl. 34, No. 2, 183-199 (2022). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34G20 34C11 34C25 34D09 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Tranninger, Markus; Seeber, Richard; Steinberger, Martin; Horn, Martin; Pötzsche, Christian Detectability conditions and state estimation for linear time-varying and nonlinear systems. (English) Zbl 1498.93066 SIAM J. Control Optim. 60, No. 4, 2514-2537 (2022). MSC: 93B07 93C15 34D09 93C05 93C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Backes, Lucas; Dragičević, Davor A generalized Grobman-Hartman theorem for nonautonomous dynamics. (English) Zbl 1502.37034 Collect. Math. 73, No. 3, 411-431 (2022). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37C60 37C15 37C75 37G05 34D30 34D09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dragičević, Davor; Zhang, Weinian; Zhou, Linfeng Admissibility and nonuniform exponential dichotomies. (English) Zbl 1503.34104 J. Differ. Equations 326, 201-226 (2022). Reviewer: David Cheban (Chişinău) MSC: 34D09 34G10 × Cite Format Result Cite Review PDF Full Text: DOI
Bihun, D. S.; Pokutnyi, O. O.; Kliuchnyk, I. G.; Sadovyi, M. I.; Tryfonova, O. M. Bounded solutions of evolutionary equations. I. (English. Ukrainian original) Zbl 1500.34052 J. Math. Sci., New York 261, No. 2, 195-227 (2022); translation from Neliniĭni Kolyvannya 23, No. 3, 291-320 (2020). Reviewer: Ismail Huseynov (Mersin) MSC: 34G10 34C11 34C27 34D09 × Cite Format Result Cite Review PDF Full Text: DOI
Dragičević, Davor; Sasu, Adina Luminiţa; Sasu, Bogdan Input-output criteria for stability and expansiveness of dynamical systems. (English) Zbl 1510.93268 Appl. Math. Comput. 414, Article ID 126574, 22 p. (2022). MSC: 93D23 37C20 39A30 34D09 39A12 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Jifeng; Liao, Fang-Fang; Siegmund, Stefan; Xia, Yonghui; Zhu, Hailong Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations. (English) Zbl 1481.39002 Adv. Nonlinear Anal. 11, 369-384 (2022). MSC: 39A06 37D25 39A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jendoubi, Chiraz Dichotomy and \(\mu\)-pseudo almost automorphic solutions for delayed partial functional differential equations in admissible spaces. (English) Zbl 1523.35276 Math. Nachr. 294, No. 2, 338-353 (2021). MSC: 35R10 35A01 35A02 35B15 35K20 35K58 47J35 × Cite Format Result Cite Review PDF Full Text: DOI
Long, Bin; Xu, Shanshan; Cao, Hui; Li, Jianquan The influence of splitting index on heteroclinic orbit bifurcation under periodic perturbation. (Chinese. English summary) Zbl 1513.34169 Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 5, 1516-1528 (2021). MSC: 34C37 34C23 34D09 34D10 37C60 × Cite Format Result Cite Review PDF Full Text: Link
Demidenko, G. V. On the existence of periodic solutions to one class of systems of nonlinear differential equations. (English) Zbl 1496.34076 Lobachevskii J. Math. 42, No. 14, 3336-3343 (2021). Reviewer: Gani T. Stamov (Sliven) MSC: 34C25 37C60 34D09 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Duoc, Trinh Viet Bounded and periodic solutions of inhomogeneous linear evolution equations. (English) Zbl 1510.34126 Commun. Korean Math. Soc. 36, No. 4, 759-770 (2021). Reviewer: Marjeta Kramar Fijavž (Ljubljana) MSC: 34G10 47D06 34C25 34D09 34C11 45N05 × Cite Format Result Cite Review PDF Full Text: DOI
Vu, Thi Ngoc Ha; Nguyen, Thieu Huy; Trinh, Xuan Yen Invariant stable manifolds of \(\mathcal{E}\)-class for partial neutral functional differential equations on a half-line. (English) Zbl 1481.35371 N’Guérékata, Gaston M. (ed.) et al., Studies in evolution equations and related topics. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 7-32 (2021). MSC: 35R10 35B40 47J35 × Cite Format Result Cite Review PDF Full Text: DOI
Battelli, F.; Franca, M.; Palmer, K. J. Exponential dichotomy for noninvertible linear difference equations. (English) Zbl 1493.39004 J. Difference Equ. Appl. 27, No. 12, 1657-1691 (2021). Reviewer: Hakan Adıgüzel (Serdivan) MSC: 39A06 39A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Nguyen, Thieu Huy; Vu, Thi Ngoc Ha Conditional stability and periodicity of solutions to evolution equations. (English) Zbl 1491.34072 J. Evol. Equ. 21, No. 4, 3797-3812 (2021). Reviewer: Sergiu Aizicovici (Verona) MSC: 34G10 34G20 37C60 34C25 34D20 47D06 34D09 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Jizhou The almost periodic solution to delayed generalized system with almost periodic coefficients. (Chinese. English summary) Zbl 1488.34382 J. Nanchang Univ., Nat. Sci. 45, No. 1, 15-19 (2021). MSC: 34K14 34K30 47N20 × Cite Format Result Cite Review PDF
Ivanov, Alexey V. On singularly perturbed linear cocycles over irrational rotations. (English) Zbl 1484.37057 Regul. Chaotic Dyn. 26, No. 3, 205-221 (2021). MSC: 37H15 37A20 37C55 37D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Magal, Pierre; Seydi, Ousmane Variation of constants formula and exponential dichotomy for nonautonomous non-densely defined Cauchy problems. (English) Zbl 1496.34096 Can. J. Math. 73, No. 5, 1347-1389 (2021). Reviewer: Nikita V. Artamonov (Moskva) MSC: 34G10 34A12 34D09 47D06 35A01 37C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campos, Juan; Tarallo, Massimo Exponential dichotomies by Ekeland’s variational principle. (English) Zbl 1489.34080 J. Dyn. Differ. Equations 33, No. 4, 2133-2153 (2021). Reviewer: Ignacio Huerta (Santiago de Chile) MSC: 34D09 34A30 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Lasri, Marieme; Bounit, Hamid; Hadd, Said Dichotomy of linear partial differential equations of neutral type in Banach spaces. (English) Zbl 1491.34083 J. Dyn. Differ. Equations 33, No. 4, 1663-1678 (2021). Reviewer: Luong Vu Trong (Hanoi) MSC: 34K30 34K06 34K40 34K25 34K19 × Cite Format Result Cite Review PDF Full Text: DOI
Vu, Thi Ngoc Ha; Nguyen, Thieu Huy; Nguyen, Thi Loan Periodic solutions to partial neutral functional differential equations in admissible spaces on a half-line. (English) Zbl 1489.34100 Vietnam J. Math. 49, No. 4, 1043-1064 (2021). Reviewer: Jiří Šremr (Brno) MSC: 34K13 34K30 34K40 34K20 34K25 × Cite Format Result Cite Review PDF Full Text: DOI
Yue, Tian; Song, Xiaoqiu Discrete versions of Datko-type theorem for the nonuniform exponential dichotomy of linear skew-product semiflows based on Lyapunov norms. (Chinese. English summary) Zbl 1499.39010 J. Sichuan Norm. Univ., Nat. Sci. 44, No. 2, 240-244 (2021). MSC: 39A12 39A30 37C75 × Cite Format Result Cite Review PDF Full Text: DOI
Demidenko, G. V. On one class of systems of differential equations with periodic coefficients in linear terms. (English. Russian original) Zbl 1493.34127 Sib. Math. J. 62, No. 5, 805-821 (2021); translation from Sib. Mat. Zh. 62, No. 5, 995-1012 (2021). Reviewer: Qihuai Liu (Guilin) MSC: 34C25 34D09 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Dragičević, Davor On the Hyers-Ulam stability of certain nonautonomous and nonlinear difference equations. (English) Zbl 1480.39013 Aequationes Math. 95, No. 5, 829-840 (2021). Reviewer: Hakan Adıgüzel (Serdivan) MSC: 39A30 39B05 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Schouten-Straatman, W. M.; Hupkes, H. J. Exponential dichotomies for nonlocal differential operators with infinite range interactions. (English) Zbl 1479.34117 J. Differ. Equations 301, 353-427 (2021). MSC: 34K06 34K12 34K25 34D09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Jiayin; Yang, Xue; Wang, Shuai Pseudo affine-periodic solutions for delay differential systems. (English) Zbl 1486.34135 Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 60, 22 p. (2021). Reviewer: Eric R. Kaufmann (Little Rock) MSC: 34K13 34D09 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Sasu, Adina Luminiţa; Sasu, Bogdan Strong exponential dichotomy of discrete nonautonomous systems: input-output criteria and strong dichotomy radius. (English) Zbl 1471.37021 J. Math. Anal. Appl. 504, No. 1, Article ID 125373, 29 p. (2021). MSC: 37B55 37B25 39A30 × Cite Format Result Cite Review PDF Full Text: DOI
Dragičević, Davor Hyers-Ulam stability for a class of perturbed Hill’s equations. (English) Zbl 1472.34103 Result. Math. 76, No. 3, Paper No. 129, 11 p. (2021). MSC: 34D10 34B30 34D09 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Yue, Tian; Song, Xiaoqiu Datko-Pazy theorem for the nonuniform exponential dichotomy of evolutionary process in Banach spaces. (Chinese. English summary) Zbl 1474.34376 J. Zhejiang Univ., Sci. Ed. 48, No. 1, 41-45, 56 (2021). MSC: 34D09 34G10 34D20 × Cite Format Result Cite Review PDF
Dragičević, Davor Hyers-Ulam stability for nonautonomous semilinear dynamics on bounded intervals. (English) Zbl 1466.34052 Mediterr. J. Math. 18, No. 2, Paper No. 71, 9 p. (2021). MSC: 34D10 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Lokesh; Bahuguna, Dhirendra Smooth invariant manifolds for differential equations with infinite delay. (English) Zbl 1465.34077 J. Dyn. Control Syst. 27, No. 1, 107-132 (2021). MSC: 34K19 34K25 × Cite Format Result Cite Review PDF Full Text: DOI
Jendoubi, Chiraz \(\mu\)-pseudo almost periodic solutions for delayed partial functional differential equations in admissible spaces. (English) Zbl 1466.34066 Appl. Anal. 100, No. 4, 772-790 (2021). Reviewer: Miklavž Mastinšek (Maribor) MSC: 34K30 34K14 47D06 34K19 × Cite Format Result Cite Review PDF Full Text: DOI