Sepulcre, Juan Matías; Vidal, Tomás A note on spaces of almost periodic functions with values in Banach spaces. (English) Zbl 1512.42011 Can. Math. Bull. 65, No. 4, 953-962 (2022). MSC: 42A75 42A16 42B05 30B50 11J72 46-XX × Cite Format Result Cite Review PDF Full Text: DOI
Qi, Liangping; Yuan, Rong Piecewise continuous almost automorphic functions and Favard’s theorems for impulsive differential equations in honor of Russell Johnson. (English) Zbl 1497.43005 J. Dyn. Differ. Equations 34, No. 1, 399-441 (2022). MSC: 43A60 42A75 34A37 34C27 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Mengyu; Liu, Zhenxin Periodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients. (English) Zbl 1484.37090 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6425-6462 (2021). MSC: 37L55 37L15 60H15 35B10 35B15 35B35 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lassoued, Dhaou; Zhou, Hui Some theorems on the almost-periodic solutions of discrete dynamical systems. (English) Zbl 1468.42005 J. Differ. Equations 297, 469-507 (2021). MSC: 42A75 34C27 34K14 × Cite Format Result Cite Review PDF Full Text: DOI
Muhamadiev, Èrgashev; Nazarov, Murtazo Regularity of almost periodic solutions of Poisson equation. (English) Zbl 1463.35232 Ufim. Mat. Zh. 12, No. 2, 96-106 (2020) and Ufa Math. J. 12, No. 2, 97-107 (2020). MSC: 35J25 35B15 35B65 35D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv MNR
Hamaya, Yoshihiro \(AP_r\) solutions for linear functional difference equations with infinite delay with/without Favard’s property. (English) Zbl 1444.39012 J. Difference Equ. Appl. 26, No. 3, 328-352 (2020). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 39A24 39A06 39A22 39A10 39A30 × Cite Format Result Cite Review PDF Full Text: DOI
Qi, Liangping; Yuan, Rong A generalization of Bochner’s theorem and its applications in the study of impulsive differential equations. (English) Zbl 1427.42010 J. Dyn. Differ. Equations 31, No. 4, 1955-1985 (2019). MSC: 42A75 34A37 34C27 × Cite Format Result Cite Review PDF Full Text: DOI
Lassoued, Dhaou; Shah, Rahim; Li, Tongxing Almost periodic and asymptotically almost periodic functions. I. (English) Zbl 1445.42003 Adv. Difference Equ. 2018, Paper No. 47, 19 p. (2018). MSC: 42A75 43A60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Sanfu The existence of almost periodic solution: via coincidence degree theory. (English) Zbl 1341.34075 Bound. Value Probl. 2016, Paper No. 71, 11 p. (2016). Reviewer: Syed Abbas (Mandi) MSC: 34K14 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhenxin; Wang, Wenhe Favard separation method for almost periodic stochastic differential equations. (English) Zbl 1335.60095 J. Differ. Equations 260, No. 11, 8109-8136 (2016). MSC: 60H10 34F05 34C27 42A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basit, Bolis; Günzler, Hans Existence of bounded uniformly continuous mild solutions on \(\mathbb R\) of evolution equations and their asymptotic behaviour. (English) Zbl 1304.47051 J. Math. Anal. Appl. 404, No. 2, 519-527 (2013). MSC: 47D06 34G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kloeden, P. E.; Rodrigues, H. M. Dynamics of a class of ODEs more general than almost periodic. (English) Zbl 1217.34101 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 7, 2695-2719 (2011). Reviewer: Christian Pötzsche (München) MSC: 34G20 34C25 34C27 34E10 34D45 34C45 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Rong On Favard’s theorems. (English) Zbl 1204.42014 J. Differ. Equations 249, No. 8, 1884-1916 (2010). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 42A75 43A60 34K14 × Cite Format Result Cite Review PDF Full Text: DOI
Corduneanu, Constantin Some comments on almost periodicity and related topics. (English) Zbl 1204.34091 Commun. Math. Anal. 8, No. 2, 5-15 (2010). Reviewer: Meng Fan (Changchun) MSC: 34K14 39B22 42A75 × Cite Format Result Cite Review PDF Full Text: Euclid
Caraballo, Tomás; Cheban, David Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard’s separation condition. I. (English) Zbl 1166.34021 J. Differ. Equations 246, No. 1, 108-128 (2009). Reviewer: Rong Yuan (Beijing) MSC: 34C27 34A30 43A60 39A10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hu, Zuosheng; Mingarelli, Angelo B. Bochner’s theorem and Stepanov almost periodic functions. (English) Zbl 1150.34018 Ann. Mat. Pura Appl. (4) 187, No. 4, 719-736 (2008). Reviewer: Vladimir Răsvan (Craiova) MSC: 34C27 × Cite Format Result Cite Review PDF Full Text: DOI
Finet, Catherine; Queffélec, Hervé; Volberg, Alexander Compactness of composition operators on a Hilbert space of Dirichlet series. (English) Zbl 1070.47013 J. Funct. Anal. 211, No. 2, 271-287 (2004), erratum ibid. 220, No. 1, 237 (2005). Reviewer: Hasi Wulan (Shantou) MSC: 47B33 × Cite Format Result Cite Review PDF Full Text: DOI
Finet, Catherine; Queffélec, Hervé Numerical range of composition operators on a Hilbert space of Dirichlet series. (English) Zbl 1061.47022 Linear Algebra Appl. 377, 1-10 (2004). Reviewer: Raymond Mortini (Metz) MSC: 47B33 47A12 × Cite Format Result Cite Review PDF Full Text: DOI
Ruess, W. M.; Summers, W. H. Weak asymptotic almost periodicity for semigroups of operators. (English) Zbl 0792.47044 J. Math. Anal. Appl. 164, No. 1, 242-262 (1992). Reviewer: J.Voigt (Dresden) MSC: 47D06 47H20 43A60 46N99 × Cite Format Result Cite Review PDF Full Text: DOI
Vuillermot, Pierre-A. Almost-periodic attractors for a class of nonautonomous reaction- diffusion equations on \(\mathbb{R}{}^ N\). I: Global stabilization processes. (English) Zbl 0767.35040 J. Differ. Equations 94, No. 2, 228-253 (1991). Reviewer: S.Jimbo (Tsushima) MSC: 35K57 37C75 35B40 35F15 35K55 34C27 × Cite Format Result Cite Review PDF Full Text: DOI
Staněk, Svatoslav On an almost periodicity criterion of solutions for systems of nonhomogeneous linear differential equations with almost periodic coefficients. (English) Zbl 0709.34040 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 28, 27-42 (1989). Reviewer: P.Smith MSC: 34C27 34A30 34C11 × Cite Format Result Cite Review PDF Full Text: EuDML
Blot, Joël Calculus of variations in mean and convex Lagrangians. (English) Zbl 0655.49011 J. Math. Anal. Appl. 134, No. 2, 312-321 (1988). Reviewer: P.Loewen MSC: 49K05 42A75 37J99 34C25 34C27 × Cite Format Result Cite Review PDF Full Text: DOI
Palmer, Kenneth J. On bounded solutions of almost periodic linear differential systems. (English) Zbl 0567.34034 J. Math. Anal. Appl. 103, 16-25 (1984). MSC: 34C27 34C11 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Hino, Yoshiyuki Favard’s separation theorem in functional differential equations with infinite retardations. (English) Zbl 0378.34051 Tohoku Math. J., II. Ser. 30, 1-12 (1978). MSC: 34K05 × Cite Format Result Cite Review PDF Full Text: DOI
Sacker, Robert J.; Sell, George R. Existence of dichotomies and invariant splittings for linear differential systems. III. (English) Zbl 0338.58016 J. Differ. Equations 22, 497-522 (1976). MSC: 34C25 37D99 × Cite Format Result Cite Review PDF Full Text: DOI
Kato, Junji; Nakajima, Fumio On Sacker-Sell’s theorem for a linear skew product flow. (English) Zbl 0333.34039 Tohoku Math. J., II. Ser. 28, 79-88 (1976). MSC: 34D05 37-XX × Cite Format Result Cite Review PDF Full Text: DOI
Rousseau, Bernard Arithmétique des lois de probabilité definies sur un espace de Hilbert séparable. (French) Zbl 0296.60012 J. multivariate Analysis 4, 1-21 (1974). MSC: 60E05 60B05 × Cite Format Result Cite Review PDF Full Text: DOI
Sell, George R. A note on almost periodic solutions of linear partial differential equations. (English) Zbl 0266.35022 Bull. Am. Math. Soc. 79, 428-430 (1973). MSC: 35B15 35J15 35G05 31B35 42A75 × Cite Format Result Cite Review PDF Full Text: DOI
Sell, George R. Almost periodic solutions of linear partial differential equations. (English) Zbl 0262.35003 J. Math. Anal. Appl. 42, 302-312 (1973). MSC: 35G05 35B15 × Cite Format Result Cite Review PDF Full Text: DOI
Bratti, Giuliano Caratterizzazione dei polinomi di convoluzione in una variabile a decrescenza rapida, a coefficienti costanti, che hanno soluzioni quasi periodiche per ogni termine noto quasi periodico. (Italian) Zbl 0268.46041 Rend. Sem. Mat. Univ. Padova 47, 219-225 (1972). MSC: 46F10 44A35 42A75 35B15 35E05 45K05 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Zikov, V. V. Remarks on compactness conditions related to the work of M. I. Kadec on integration of abstract almost-periodic functions. (English. Russian original) Zbl 0243.34113 Funct. Anal. Appl. 5, 26-30 (1971); translation from Funkts. Anal. Prilozh. 5, No. 1, 30-36 (1971). MSC: 34G99 34C25 47B99 × Cite Format Result Cite Review PDF Full Text: DOI
Bratti, Giuliano Sulle distribuzioni vettoriali di una variabile debolmente quasi periodiche. (Italian) Zbl 0239.46033 Rend. Sem. Mat. Univ. Padova 44(1970), 383-397 (1971). MSC: 46F99 42A75 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Zhikov, V. V. Addition to the classical theory of Favard. (English. Russian original) Zbl 0198.48103 Math. Notes 7, 142-146 (1970); translation from Mat. Zametki 7, 239-246 (1970). × Cite Format Result Cite Review PDF Full Text: DOI
Abel, Jacob M. Uniform almost orthogonality and the instabilities of an almost periodic parametric oscillator. (English) Zbl 0194.40402 J. Math. Anal. Appl. 36, 110-122 (1971). MSC: 34C27 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Seifert, G. Almost periodic solutions and asymptotic stability. (English) Zbl 0165.42202 J. Math. Anal. Appl. 21, 136-149 (1968). × Cite Format Result Cite Review PDF Full Text: DOI
Chang, K. W. Almost periodic solutions of singularity perturbed systems of differential equations. (English) Zbl 0157.15303 J. Differ. Equations 4, 300-307 (1968). × Cite Format Result Cite Review PDF Full Text: DOI
Dhombres, Jean Sur une classe de moyennes. (French) Zbl 0185.21705 Ann. Inst. Fourier 17, No. 1, 135-156 (1967). × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Seifert, George Almost periodic solutions for almost periodic systems of ordinary differential equations. (English) Zbl 0284.34047 J. Differ. Equations 2, 305-319 (1966). MSC: 34C25 34D20 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Ricci, M. L. Soluzioni quasi-periodiche di un’equazione a derivate parziali del tipo di Fuchs. (Italian) Zbl 0144.34603 Ann. Mat. Pura Appl., IV. Ser. 73, 367-404 (1966). × Cite Format Result Cite Review PDF Full Text: DOI
Seifert, G. A condition for almost periodicity with some applications to functional- differential equations. (English) Zbl 0196.38403 J. Differ. Equations 1, 393-408 (1965). × Cite Format Result Cite Review PDF Full Text: DOI
Seifert, G. Stability conditions for the existence of almost-periodic solutions of almost-periodic systems. (English) Zbl 0173.34902 J. Math. Anal. Appl. 10, 409-418 (1965). × Cite Format Result Cite Review PDF Full Text: DOI
Dolcher, M. Questioni topologiche collegate con la quasi-periodicita nel campo reale. (Italian) Zbl 0129.05903 Rend. Sem. Mat. Univ. Padova 35, 1-17 (1965). × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Zaidman, S. Soluzioni limitate o quasi-periodiche dell’equazione di Poisson. (Italian) Zbl 0133.36103 Ann. Mat. Pura Appl., IV. Ser. 64, 365-405 (1964). Reviewer: M. Cinquini-Cibrario MSC: 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Prouse, G. Soluzioni quasi-periodiche dell’equazione differenziale di Navier-Stokes in due dimensioni. (Italian) Zbl 0117.07303 Rend. Sem. Mat. Univ. Padova 33, 186-212 (1963). × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Doss, Raouf On bounded functions with almost periodic differences. (English) Zbl 0094.05802 Proc. Am. Math. Soc. 12, 488-489 (1961). × Cite Format Result Cite Review PDF Full Text: DOI
Amerio, Luigi Problema misto e quasi-periodicità per l’equazione delle onde non omogenea. (Italian) Zbl 0094.07503 Ann. Mat. Pura Appl., IV. Ser. 49, 393-417 (1960). × Cite Format Result Cite Review PDF Full Text: DOI
Markus, Lawrence; Moore, Richard A. Oscillation and disconjugacy for linear differential equations with almost periodic coefficients. (English) Zbl 0071.08302 Acta Math. 96, 99-123 (1956). × Cite Format Result Cite Review PDF Full Text: DOI
Amerio, Luigi Soluzioni quasi-periodiche, o limitate, di sistemi differenziali non lineari quasi-periodici, o limitati. (Italian) Zbl 0066.07202 Ann. Mat. Pura Appl., IV. Ser. 39, 97-119 (1955). × Cite Format Result Cite Review PDF Full Text: DOI
Jessen, Borge; Tornehave, Hans Mean motions and zeros of almost periodic functions. (English) Zbl 0061.16504 Acta Math. 77, 137-279 (1945). × Cite Format Result Cite Review PDF Full Text: DOI