Found 177 Documents (Results 1–100)
Chaotic behavior and generation theorems of conformable time and space partial differential equations in specific Lebesgue spaces. (English) Zbl 07848751
Dynamical properties and some classes of non-porous subsets of Lebesgue spaces. (English) Zbl 07831972
Reviewer: Özgür Martin (İstanbul)
Convex-cyclicity and \(K\)-transitivity of semigroups of operators on finite and infinite dimensional spaces. (English) Zbl 1540.47018
Minimality and non-existence of non-zero finite orbits for abelian linear semigroups. (English) Zbl 07820055
Forward operator monoids. arXiv:2409.16489
Preprint, arXiv:2409.16489 [math.FA] (2024).
Li-Yorke \(n\)-chaos and distributional \(n\)-chaos in Banach spaces. (English) Zbl 07748570
Reviewer: Angela Albanese (Lecce)
On the existence of subspace-diskcyclic \(C_0\)-semigroups and some criteria. (English) Zbl 1524.47012
The recurrent hypercyclicity criterion for translation \(C_0\)-semigroups on complex sectors. (English) Zbl 1519.37018
Dynamics of semigroups generated by analytic functions of the Laplacian on homogeneous trees. (English) Zbl 1511.37091
Reviewer: Jorge Vargas (Córdoba)
Chaos for generalized Black-Scholes equations. arXiv:2312.01247
Preprint, arXiv:2312.01247 [math.AP] (2023).
M-hypercyclicity of \(C_0\)-semigroup and SVEP of its generator. (English) Zbl 07454939
Reviewer: José Bonet (València)
On the recurrent \(C_0\)-semigroups, their existence, and some criteria. (English) Zbl 1515.47061
Reviewer: Romuald Ernst (Calais)
A note on recurrent strongly continuous semigroups of operators. (English) Zbl 07370955
Reviewer: Angela Albanese (Lecce)
\( \Gamma \)-supercyclicity of families of translates in weighted \(L^p\)-spaces on locally compact groups. (English) Zbl 1466.43002
Corrigendum to: “Hypercyclic abelian semigroups of matrices on \(\mathbb{R}^n\)”. (English) Zbl 1473.37038
On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups. (English) Zbl 1481.37022
Frequently hypercyclic \(C\)-distribution semigroups and their generalizations. (English) Zbl 1474.47026
\(\mathcal{F}\)-hypercyclic and disjoint \(\mathcal{F}\)-hypercyclic properties of binary relations over topological spaces. (English) Zbl 1495.47024
Supercyclicity criteria for \(C_0\)-semigroups. (English) Zbl 1498.47024
Reviewer: Ömer Gök (İstanbul)
\(f\)-frequently hypercyclic \(C_0\)-semigroups on complex sectors. (English) Zbl 1512.47015
Reviewer: José Bonet (València)
Convolution operators in the Fréchet sequence space \(\omega = \mathbb{C}^{\mathbb{N}}\). (English) Zbl 1425.42009
Spectral inclusion for \(C_0\)-semigroups Drazin invertible and quasi-Fredholm operators. (English) Zbl 07093435
A complete spectral analysis of generalized Gribov-Intissar’s operator in Bargmann space. (English) Zbl 1480.47057
On the non-hypercyclicity of normal operators, their exponentials, and symmetric operators. arXiv:1908.01935
Preprint, arXiv:1908.01935 [math.FA] (2019).
On frequently hypercyclic \(C\)-distribution cosine functions in Fréchet spaces. (English) Zbl 1454.47013
On supercyclicity for abelian semigroups of matrices on \(\mathbb{R}^n\). (English) Zbl 1508.47012
Oper. Matrices 12, No. 3, 855-865 (2018); corrigendum ibid. 15, No. 2, 777-781 (2021).
Stability for weighted composition \(C_0\)-semigroups on Lebesgue and Sobolev spaces. (English) Zbl 1423.47013
D-hypercyclic and d-chaotic properties of abstract differential equations of first order. (English) Zbl 1463.47029
On the non-hypercyclicity of scalar type spectral operators and collections of their exponentials. arXiv:1807.07423
Preprint, arXiv:1807.07423 [math.FA] (2018).
Hypercyclic and topologically mixing properties of abstract degenerate time-fractional inclusions. (English) Zbl 1474.47024
Disjoint hypercyclic weighted translations on groups. (English) Zbl 1420.47004
Reviewer: José Bonet (Valencia)
Density of translates in weighted \(L^{p}\) spaces on locally compact groups. (English) Zbl 1420.47003
Reviewer: Tianxuan Miao (Thunder Bay)
Disjoint supercyclic weighted translations generated by aperiodic elements. (English) Zbl 1459.47004
Reviewer: Fábio José Bertoloto (Uberlândia)
The properties and invariant measure of some first order partial differential equation. (English) Zbl 1362.35095
Reviewer: Claudia Simionescu-Badea (Wien)
Generic distributional chaos and principal measure in linear dynamics. (English) Zbl 1448.47019
Reviewer: José Bonet (Valencia)
Hypercyclic and topologically mixing properties of degenerate multi-term fractional differential equations. (English) Zbl 1356.47014
Erratum to: “Dynamics and spectrum of the Cesàro operator on \(C^\infty (\mathbb{R}_+)\)”. (English) Zbl 1478.47003
Dynamics and spectrum of the Cesàro operator on \(C^\infty (\mathbb R_+)\). (English) Zbl 1358.47003
Monatsh. Math. 181, No. 2, 267-283 (2016); erratum ibid. 181, No. 4, 991-993 (2016).
Distributionally chaotic families of operators on Fréchet spaces. (English) Zbl 1394.47013
Reviewer: Nilson C. Bernardes Jr. (Rio de Janeiro)
Disjoint hypercyclic weighted translations generated by aperiodic elements. (English) Zbl 1384.47004
Reviewer: José Bonet (Valencia)
Hypercyclic abelian semigroups of matrices on \(\mathbb{R}^n\). (English) Zbl 1366.37065
Topology Appl. 210, 29-45 (2016); corrigendum ibid. 287, Article ID 107330, 8 p. (2021).
A remark on the frequent hypercyclicity criterion for weighted composition semigroups and an application to the linear von Foerster-Lasota equation. (English) Zbl 1380.47005
Reviewer: José Bonet (Valencia)
A simple characterization of chaos for weighted composition \(C_0\)-semigroups on Lebesgue and Sobolev spaces. (English) Zbl 1337.47010
Mixing property of \(C_0\)-semigroup of left multiplication operators. (English) Zbl 1343.47009
Reviewer: José Alberto Conejero (València)
A Banach algebra approach to the weak spectral mapping theorem for locally compact abelian groups. (English) Zbl 1337.43004
Arendt, Wolfgang (ed.) et al., Operator semigroups meet complex analysis, harmonic analysis and mathematical physics. Proceedings of the conference, Herrnhut, Germany, June 3–7, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-18493-7/hbk; 978-3-319-18494-4/ebook). Operator Theory: Advances and Applications 250, 155-170 (2015).
On some properties of \(M\)-hypercyclic \(C_0\)-semigroup. (English) Zbl 1448.47018
Reviewer: José Alberto Conejero (València)
The null volatility limit of the chaotic Black-Scholes equation. (English) Zbl 1341.47090
Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, Bȩdlewo, Poland, October 6–10, 2013. Cham: Springer (ISBN 978-3-319-12144-4/hbk; 978-3-319-12145-1/ebook). Springer Proceedings in Mathematics & Statistics 113, 155-164 (2015).
\(\mathcal D\)-hypercyclic and \(\mathcal D\)-topologically mixing properties of degenerate multi-term fractional differential equations. (English) Zbl 1329.47008
Frequently hypercyclic translation semigroups. (English) Zbl 1341.47007
Reviewer: Raymond Mortini (Metz)
Distributional chaos for the forward and backward control traffic model. (English) Zbl 1330.47093
Reviewer: Sameer Chavan (Kanpur)
Strong mixing measures for \(C_0\)-semigroups. (English) Zbl 1330.47053
Reviewer: Zhenbin Fan (Jiangsu)
Chaotic \(C_0\)-semigroups induced by semiflows in Lebesgue and Sobolev spaces. (English) Zbl 1307.47042
Corrigendum and improvement to: “Chaotic solution for the Black-Scholes equation”. (English) Zbl 1304.47083
Supercyclic abelian semigroups of matrices on \(\mathbb C^n\). (English) Zbl 1318.47015
Reviewer: José Alberto Conejero (València)
Dynamics of semigroup actions of linear fractional transformations. (English) Zbl 1334.47013
Reviewer: José Alberto Conejero (València)
Linear semigroups with coarsely dense orbits. (English) Zbl 1298.47053
Reviewer: José Bonet (Valencia)
Li-Yorke chaos of translation semigroups. (English) Zbl 1301.47010
Reviewer: José Alberto Conejero (València)
Hypercyclic and topologically transitive semigroups of composition operators. (English) Zbl 1290.47044
Reviewer: Antonios Manoussos (Bielefeld)
Hypercyclic and topologically mixing properties of abstract time-fractional equations with discrete shifts. (English) Zbl 1307.47007
Reviewer: Janko Bračič (Ljubljana)
The chaotic heat equation. (English) Zbl 1297.35104
Norm transitive semigroups on operator algebra. (English) Zbl 1302.47015
Reviewer: José Bonet (Valencia)
Hypercyclicity of direct sums in semigroup generated by a tuple of operators. (English) Zbl 1291.47005
Non-wandering for the solution semigroup to a partial differential equation on \(L^2(I)\). (Chinese. English summary) Zbl 1289.47110
A Birkhoff type transitivity theorem for non-separable completely metrizable spaces with applications to linear dynamics. (English) Zbl 1289.47016
Reviewer: Angela Albanese (Lecce)
Chaotic dynamics of the heat semigroup on the Damek-Ricci spaces. (English) Zbl 1282.37041
Reviewer: Rodica Luca (Iaşi)
MSC:
37L05
Hypercyclic weighted translations generated by non-torsion elements. (English) Zbl 1284.47005
Reviewer: José A. Conejero (València)
Distributional chaos for strongly continuous semigroups of operators. (English) Zbl 1287.47007
Reviewer: Antonios Manoussos (Bielefeld)
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