Zhang, Jia-Rui; Lu, Jun-Guo Robust \(\infty\) model reduction for the continuous fractional-order two-dimensional Roesser system: the \(0 < \varepsilon \leq 1\) case. (English) Zbl 07823720 Math. Methods Appl. Sci. 47, No. 2, 782-798 (2024). MSC: 26A33 65L20 93D09 34C20 93C35 PDFBibTeX XMLCite \textit{J.-R. Zhang} and \textit{J.-G. Lu}, Math. Methods Appl. Sci. 47, No. 2, 782--798 (2024; Zbl 07823720) Full Text: DOI
Georgiev, Svetlin G. Projector analysis of dynamic systems on time scales. (English) Zbl 07770364 Georgiev, Svetlin G. (ed.), Dynamic calculus and equations on time scales. Berlin: De Gruyter. 1-75 (2023). Reviewer: Sanket Tikare (Mumbai) MSC: 34N05 34A09 34A30 37C60 26E70 34C20 PDFBibTeX XMLCite \textit{S. G. Georgiev}, in: Dynamic calculus and equations on time scales. Berlin: De Gruyter. 1--75 (2023; Zbl 07770364) Full Text: DOI
Melville, Elizabeth; Mograby, Gamal; Nagabandi, Nikhil; Rogers, Luke G.; Teplyaev, Alexander Gaps labeling theorem for the bubble-diamond self-similar graphs. (English) Zbl 07759266 J. Phys. A, Math. Theor. 56, No. 46, Article ID 465303, 27 p. (2023). MSC: 81Q35 14H55 16S15 35P05 82D20 81P45 26A30 60J85 PDFBibTeX XMLCite \textit{E. Melville} et al., J. Phys. A, Math. Theor. 56, No. 46, Article ID 465303, 27 p. (2023; Zbl 07759266) Full Text: DOI arXiv
Jalil, Ahmed F. Abdel; Khudair, Ayad R. Toward solving fractional differential equations via solving ordinary differential equations. (English) Zbl 1499.34058 Comput. Appl. Math. 41, No. 1, Paper No. 37, 12 p. (2022). MSC: 34A08 34A30 26A33 34C20 34A05 PDFBibTeX XMLCite \textit{A. F. A. Jalil} and \textit{A. R. Khudair}, Comput. Appl. Math. 41, No. 1, Paper No. 37, 12 p. (2022; Zbl 1499.34058) Full Text: DOI
Madhan, Mayakrishnan; Selvarangam, Srinivasan; Thandapani, Ethiraju Oscillation theorems for conformable differential equations. (English) Zbl 1524.34089 Sarajevo J. Math. 17(30), No. 2, 191-198 (2021). MSC: 34C10 26A33 34A08 34C20 PDFBibTeX XMLCite \textit{M. Madhan} et al., Sarajevo J. Math. 17(30), No. 2, 191--198 (2021; Zbl 1524.34089) Full Text: DOI
Wu, Hao; Xu, Xingdong; Zhang, Dongfeng On the ultradifferentiable normalization. (English) Zbl 1484.34100 Math. Z. 299, No. 1-2, 751-779 (2021). Reviewer: Hao Wu (Nanjing) MSC: 34C20 26E10 37J40 PDFBibTeX XMLCite \textit{H. Wu} et al., Math. Z. 299, No. 1--2, 751--779 (2021; Zbl 1484.34100) Full Text: DOI
Xu, Junxiang Paths of real roots for odd-degree polynomials with parameters. (English) Zbl 1474.26053 Abstr. Appl. Anal. 2020, Article ID 4729872, 21 p. (2020). MSC: 26C10 26C05 37F99 37J40 PDFBibTeX XMLCite \textit{J. Xu}, Abstr. Appl. Anal. 2020, Article ID 4729872, 21 p. (2020; Zbl 1474.26053) Full Text: DOI
Bounemoura, Abed; Féjoz, Jacques KAM, \(\alpha\)-Gevrey regularity and the \(\alpha\)-Bruno-Rüssmann condition. (English) Zbl 1475.37067 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 19, No. 4, 1225-1279 (2019). MSC: 37J40 70H08 70H09 26E10 PDFBibTeX XMLCite \textit{A. Bounemoura} and \textit{J. Féjoz}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 19, No. 4, 1225--1279 (2019; Zbl 1475.37067) Full Text: DOI arXiv Link
Niezgoda, Marek On convexity and \(\psi\)-uniform convexity of \(G\)-invariant functions on an Eaton triple. (English) Zbl 1423.15018 J. Convex Anal. 26, No. 3, 1001-1019 (2019). Reviewer: Janusz Sokol (Rzeszow) MSC: 15A30 15A21 26B25 06F20 30C45 PDFBibTeX XMLCite \textit{M. Niezgoda}, J. Convex Anal. 26, No. 3, 1001--1019 (2019; Zbl 1423.15018) Full Text: Link
Züst, Roger Functions of bounded fractional variation and fractal currents. (English) Zbl 1454.49043 Geom. Funct. Anal. 29, No. 4, 1235-1294 (2019). Reviewer: Shokhrukh Kholmatov (Wien) MSC: 49Q15 28A75 26A16 49J45 PDFBibTeX XMLCite \textit{R. Züst}, Geom. Funct. Anal. 29, No. 4, 1235--1294 (2019; Zbl 1454.49043) Full Text: DOI arXiv Link
Li, Yajie; Wu, Zhiqiang; Zhang, Guoqi Calculation of the response of nonlinear vibration system based on the Caputo fractional derivative. (Chinese. English summary) Zbl 1438.70020 Chin. J. Comput. Mech. 35, No. 4, 466-472 (2018). MSC: 70K45 70K75 26A33 PDFBibTeX XMLCite \textit{Y. Li} et al., Chin. J. Comput. Mech. 35, No. 4, 466--472 (2018; Zbl 1438.70020) Full Text: DOI
Mardesic, P.; Resman, M.; Rolin, J. -P.; Zupanovic, V. Length of epsilon-neighborhoods of orbits of Dulac maps. arXiv:1606.02581 Preprint, arXiv:1606.02581 [math.DS] (2016). MSC: 34C20 37C10 39B12 46A19 28A75 58K50 26A12 BibTeX Cite \textit{P. Mardesic} et al., ``Length of epsilon-neighborhoods of orbits of Dulac maps'', Preprint, arXiv:1606.02581 [math.DS] (2016) Full Text: arXiv OA License
Chen, Hung-Ju; Li, Ming-Chia Stability of symbolic embeddings for difference equations and their multidimensional perturbations. (English) Zbl 1303.39010 J. Differ. Equations 258, No. 3, 906-918 (2015). MSC: 39A30 39A33 37B10 37B45 37J40 26B10 58C15 PDFBibTeX XMLCite \textit{H.-J. Chen} and \textit{M.-C. Li}, J. Differ. Equations 258, No. 3, 906--918 (2015; Zbl 1303.39010) Full Text: DOI
Sevryuk, Mikhail B. Translation of the V. I. Arnold paper “From superpositions to KAM theory”. (English) Zbl 1348.70002 Regul. Chaotic Dyn. 19, No. 6, 734-744 (2014). MSC: 70-03 70H08 26B40 37J40 01A60 01A70 37N05 PDFBibTeX XMLCite \textit{M. B. Sevryuk}, Regul. Chaotic Dyn. 19, No. 6, 734--744 (2014; Zbl 1348.70002) Full Text: DOI
Bounemoura, Abed Normal forms, stability and splitting of invariant manifolds. I: Gevrey Hamiltonians. (English) Zbl 1418.37099 Regul. Chaotic Dyn. 18, No. 3, 237-260 (2013). MSC: 37J40 37J25 70H08 26E10 PDFBibTeX XMLCite \textit{A. Bounemoura}, Regul. Chaotic Dyn. 18, No. 3, 237--260 (2013; Zbl 1418.37099) Full Text: DOI arXiv
Krassowska, Dorota; Zdun, Marek C. On principal iteration semigroups in the case of multiplier zero. (English) Zbl 1266.39021 Cent. Eur. J. Math. 11, No. 1, 177-187 (2013). Reviewer: László Losonczi (Debrecen) MSC: 39B12 26A18 PDFBibTeX XMLCite \textit{D. Krassowska} and \textit{M. C. Zdun}, Cent. Eur. J. Math. 11, No. 1, 177--187 (2013; Zbl 1266.39021) Full Text: DOI
Bruschi, M.; Calogero, F.; Leyvraz, F.; Sommacal, M. An invertible transformation and some of its applications. (English) Zbl 1362.26013 J. Nonlinear Math. Phys. 18, Suppl. 1, 1-31 (2011). MSC: 26B10 34C20 34K17 70H15 PDFBibTeX XMLCite \textit{M. Bruschi} et al., J. Nonlinear Math. Phys. 18, 1--31 (2011; Zbl 1362.26013) Full Text: DOI
Zhang, Dongfeng; Cheng, Rong Gevrey regularity of invariant curves of analytic reversible mappings. (English) Zbl 1237.37041 Adv. Difference Equ. 2010, Article ID 324378, 18 p. (2010). Reviewer: Maria Saprykina (Stockholm) MSC: 37J40 26E10 37E40 70H08 70H33 PDFBibTeX XMLCite \textit{D. Zhang} and \textit{R. Cheng}, Adv. Difference Equ. 2010, Article ID 324378, 18 p. (2010; Zbl 1237.37041) Full Text: DOI
Li, Xuemei; de la Llave, Rafael Convergence of differentiable functions on closed sets and remarks on the proofs of the “converse approximation lemmas”. (English) Zbl 1223.26027 Discrete Contin. Dyn. Syst., Ser. S 3, No. 4, 623-641 (2010). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 26B05 37J40 58C25 46E35 PDFBibTeX XMLCite \textit{X. Li} and \textit{R. de la Llave}, Discrete Contin. Dyn. Syst., Ser. S 3, No. 4, 623--641 (2010; Zbl 1223.26027) Full Text: DOI
Macurova, Anna; Macura, Dusan Jacobian of the generalized \(c\)-hyperbolic coordinates. (English) Zbl 1360.34087 Int. J. Pure Appl. Math. 53, No. 4, 563-569 (2009). MSC: 34C20 34A34 26B10 PDFBibTeX XMLCite \textit{A. Macurova} and \textit{D. Macura}, Int. J. Pure Appl. Math. 53, No. 4, 563--569 (2009; Zbl 1360.34087)
Peng, Guojun; Jiang, Yaolin Generalized projective synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal. (English) Zbl 1220.34060 Phys. Lett., A 372, No. 22, 3963-3970 (2008). MSC: 34C20 34D06 34D08 93D15 26A33 37D45 PDFBibTeX XMLCite \textit{G. Peng} and \textit{Y. Jiang}, Phys. Lett., A 372, No. 22, 3963--3970 (2008; Zbl 1220.34060) Full Text: DOI
Popov, A. Yu. On the number of real eigenvalues of a certain boundary-value problem for a second-order equation with fractional derivative. (English. Russian original) Zbl 1151.34320 J. Math. Sci., New York 151, No. 1, 2726-2740 (2008); translation from Fundam. Prikl. Mat. 12, No. 6, 137-155 (2006). MSC: 34C20 26A33 PDFBibTeX XMLCite \textit{A. Yu. Popov}, J. Math. Sci., New York 151, No. 1, 2726--2740 (2008; Zbl 1151.34320); translation from Fundam. Prikl. Mat. 12, No. 6, 137--155 (2006) Full Text: DOI
Bahns, Dorothea; Schweigert, Christoph Software course – analysis and linear algebra. A MAPLE workbook with examples and solutions. (Softwarepraktikum – Analysis und lineare Algebra. Ein MAPLE-Arbeitsbuch mit vielen Beispielen und Lösungen.) (German) Zbl 1141.65300 Wiesbaden: Vieweg (ISBN 978-3-8348-0370-2/pbk). xiii, 197 p. (2008). Reviewer: Willy Govaerts (Gent) MSC: 65-01 26-01 15-01 68W30 65Y15 00A06 00A05 PDFBibTeX XMLCite \textit{D. Bahns} and \textit{C. Schweigert}, Softwarepraktikum -- Analysis und lineare Algebra. Ein MAPLE-Arbeitsbuch mit vielen Beispielen und Lösungen. Wiesbaden: Vieweg (2008; Zbl 1141.65300)
Rybak, V. Ya. Transformation of differential equations by operators of fractional integro-differentiation. (Ukrainian. English summary) Zbl 1120.34319 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 12-13, 103-108 (2006). MSC: 34C20 26A33 PDFBibTeX XMLCite \textit{V. Ya. Rybak}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 12--13, 103--108 (2006; Zbl 1120.34319)
Ahern, Patrick; Gong, Xianghong Cusp-type singularities of real analytic curves in the complex plane. (English) Zbl 1078.32005 Chanillo, Sagun (ed.) et al., Geometric analysis of PDE and several complex variables. Dedicated to François Trèves. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3386-3/pbk). Contemporary Mathematics 368, 1-23 (2005). Reviewer: Eugen Pascu (Montréal) MSC: 32B10 26E05 37G05 PDFBibTeX XMLCite \textit{P. Ahern} and \textit{X. Gong}, Contemp. Math. 368, 1--23 (2005; Zbl 1078.32005)
Petrov, A. G. Invariant normalization of nonautonomous Hamiltonian systems. (Russian, English) Zbl 1122.70337 Prikl. Mat. Mekh. 68, No. 3, 402-413 (2004); translation in J. Appl. Math. Mech. 68, No. 3, 357-367 (2004). Reviewer: Julia A. Martynyuk (Kyïv) MSC: 70H05 70K45 26A51 PDFBibTeX XMLCite \textit{A. G. Petrov}, Prikl. Mat. Mekh. 68, No. 3, 402--413 (2004; Zbl 1122.70337); translation in J. Appl. Math. Mech. 68, No. 3, 357--367 (2004) Full Text: DOI
Rodrigues, Hildebrando M.; Solà-Morales, J. Linearization of class \(C^{1}\) for contractions on Banach spaces. (English) Zbl 1058.37061 J. Differ. Equations 201, No. 2, 351-382 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37L05 37C05 37G05 46T20 47J05 58C30 26E15 PDFBibTeX XMLCite \textit{H. M. Rodrigues} and \textit{J. Solà-Morales}, J. Differ. Equations 201, No. 2, 351--382 (2004; Zbl 1058.37061) Full Text: DOI
Mourrain, B.; Pan, V. Y.; Ruatta, O. Asymptotic acceleration of the solution of multivariate polynomial systems of equations. (English) Zbl 1015.65022 Cucker, Felipe (ed.) et al., Foundations of computational mathematics. Proceedings of Smalefest 2000, Hong Kong, July 13-17, 2000. Singapore: World Scientific. 267-294 (2002). MSC: 65H10 12Y05 26C10 30C15 65Y20 PDFBibTeX XMLCite \textit{B. Mourrain} et al., in: Foundations of computational mathematics. Proceedings of Smalefest 2000, Hong Kong, July 13--17, 2000. Singapore: World Scientific. 267--294 (2002; Zbl 1015.65022)
Lee, Chungyi Application of fractional calculus to a linear third-order (nonhomogeneous and homogeneous) ordinary differential equation. (English) Zbl 1006.34085 J. Southeast Univ., Engl. Ed. 15, No. 2, 115-120 (1999). MSC: 34M35 26A33 PDFBibTeX XMLCite \textit{C. Lee}, J. Southeast Univ., Engl. Ed. 15, No. 2, 115--120 (1999; Zbl 1006.34085)
Dencker, Nils Preparation theorems for matrix valued functions. (English) Zbl 0783.58010 Ann. Inst. Fourier 43, No. 3, 865-892 (1993). Reviewer: N.Dencker MSC: 58C25 58K99 32B05 26E10 26B40 35G05 PDFBibTeX XMLCite \textit{N. Dencker}, Ann. Inst. Fourier 43, No. 3, 865--892 (1993; Zbl 0783.58010) Full Text: DOI Numdam EuDML
Lang, Serge Real and functional analysis. 3. ed. (English) Zbl 0831.46001 Graduate Texts in Mathematics. 142. New York: Springer-Verlag. xiv, 580 p. (1993). Reviewer: J.Lorenz (Berlin) MSC: 46-01 46G05 28A25 28-01 46F10 46G10 28B05 46B10 46C05 43A05 47A10 47A53 47B07 47B15 26B20 58C35 PDFBibTeX XMLCite \textit{S. Lang}, Real and functional analysis. 3. ed. New York: Springer-Verlag (1993; Zbl 0831.46001) Backlinks: MO
Neuman, František Ordered groups, commuting matrices and iterations of functions in transformations of differential equations. (English) Zbl 0737.34023 Constantin Carathéodory: an international tribute. Vol. II, 942-955 (1991). Reviewer: K.H.Kim (Montgomery) MSC: 34C20 06F15 15A27 34A25 22E99 26A18 PDFBibTeX XMLCite \textit{F. Neuman}, in: Fixpoint approach in mathematics. . 942--955 (1991; Zbl 0737.34023)
Dencker, Nils Preparation theorems for systems. (English) Zbl 0716.58006 Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1990, No. 9, 10 p. (1990). Reviewer: N.Dencker MSC: 58C25 58K99 26E10 26B40 35G05 PDFBibTeX XML Full Text: Numdam EuDML
Al-Bassam, M. A. A unified class of differential equations. (English) Zbl 0677.34040 Math. Jap. 34, No. 4, 513-533 (1989). MSC: 34C20 45J05 42C05 26A33 PDFBibTeX XMLCite \textit{M. A. Al-Bassam}, Math. Japon. 34, No. 4, 513--533 (1989; Zbl 0677.34040)
Nakhushev, A. M. On continuous differential equations and their difference analogues. (English. Russian original) Zbl 0684.34015 Sov. Math., Dokl. 37, No. 3, 729-732 (1988); translation from Dokl. Akad. Nauk SSSR 300, No. 4, 796-799 (1988). Reviewer: S.Mirica MSC: 34A99 34C20 45D05 26A33 39A10 PDFBibTeX XMLCite \textit{A. M. Nakhushev}, Sov. Math., Dokl. 37, No. 3, 729--732 (1988; Zbl 0684.34015); translation from Dokl. Akad. Nauk SSSR 300, No. 4, 796--799 (1988)
Dragomir, Sever Silvestru The Gronwall type lemmas and applications. (English) Zbl 0636.45004 Monografii Matematice, 29. Timișoara: Universitatea din Timișoara, Facultatea de Științe ale Naturii, Secția Matematica. VIII, 90. p. (1987). Reviewer: G.Karakostas MSC: 45D05 45-01 26D10 34A34 34C20 45M10 34D20 PDFBibTeX XML
Boyarsky, Abraham Singular perturbations of piecewise monotonic maps of the interval. (English) Zbl 1084.37521 J. Stat. Phys. 48, No. 3-4, 561-569 (1987). MSC: 37J40 37E05 26A18 PDFBibTeX XMLCite \textit{A. Boyarsky}, J. Stat. Phys. 48, No. 3--4, 561--569 (1987; Zbl 1084.37521) Full Text: DOI
Bogomolnij, E. B. Asymptotic estimates for two-dimensional area-preserving mappings. (English) Zbl 0595.58041 Physica D 13, 281-301 (1984). Reviewer: M.Farkas MSC: 37J40 26A18 PDFBibTeX XMLCite \textit{E. B. Bogomolnij}, Physica D 13, 281--301 (1984; Zbl 0595.58041) Full Text: DOI
Eckmann, J.-P.; Epstein, H.; Wittwer, P. Fixed points of Feigenbaum’s type for the equation \(f^ p(\lambda x)\equiv \lambda f(x)\). (English) Zbl 0565.58031 Commun. Math. Phys. 93, 495-516 (1984). Reviewer: V.Sobolev MSC: 37J40 39B12 47H10 26A18 PDFBibTeX XMLCite \textit{J. P. Eckmann} et al., Commun. Math. Phys. 93, 495--516 (1984; Zbl 0565.58031) Full Text: DOI
Jarnik, Jiri Multivalued mappings and Filippov’s operation. (English) Zbl 0473.34018 Czech. Math. J. 31(106), 275-288 (1981). MSC: 34C20 26E25 PDFBibTeX XMLCite \textit{J. Jarnik}, Czech. Math. J. 31(106), 275--288 (1981; Zbl 0473.34018) Full Text: EuDML
Belitskiĭ, G. R. Normal form for germs of \(C^\infty\)-mappings. (Russian) Zbl 0452.58011 Ukr. Mat. Zh. 32, 441-447 (1980). MSC: 58C25 58K99 58A20 26E10 PDFBibTeX XMLCite \textit{G. R. Belitskiĭ}, Ukr. Mat. Zh. 32, 441--447 (1980; Zbl 0452.58011) Full Text: DOI
Belitskiĭ, G. R. Normal forms, invariants and local mappings. (Нормальные формы, инварианты и локальные отображения.) (Russian) Zbl 0479.58001 Akademiya Nauk Ukrainskoi SSR, Fiziko-Tekhnicheskii Institut Nizkikh Temperatur. Kiev: ”Naukova Dumka”. 176 p. R. 1.50 (1979). MSC: 58-02 58C25 58K99 32A05 37C05 26E10 34C99 PDFBibTeX XML
Stankovic, Miomir S. A note on a transformation which maps derivatives into differences. (English) Zbl 0438.34031 Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. Fiz. 602-633, 171-175 (1978). MSC: 34C20 34A12 39A10 26A06 26A24 PDFBibTeX XMLCite \textit{M. S. Stankovic}, Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. Fiz. 602--633, 171--175 (1978; Zbl 0438.34031)