Qualitative Theory of Dynamical Systems, ISSN 1575-5460, 04/2018, Volume 17, Issue 1, pp. 245 - 257

Let (X, d) be a compact metric space and f be a continuous map from X to X. Denote by R(f), SA(f) and Gamma(f) the set of recurrent points, the set of special...

Dendrite map | Recurrent point | γ-Limit point | Special α-limit point | INTERVAL | MATHEMATICS | MATHEMATICS, APPLIED | gamma-Limit point | Special alpha-limit point

Dendrite map | Recurrent point | γ-Limit point | Special α-limit point | INTERVAL | MATHEMATICS | MATHEMATICS, APPLIED | gamma-Limit point | Special alpha-limit point

Journal Article

Semigroup Forum, ISSN 0037-1912, 8/2018, Volume 97, Issue 1, pp. 162 - 176

Let E(X, f) be the Ellis semigroup of a dynamical system (X, f) where X is a compact metric space. We analyze the cardinality of E(X, f) for a compact...

p —iterate | Algebra | Mathematics | Discrete dynamical system | Compact metric countable space | Ellis semigroup | p —limit point | p—limit point | p—iterate | MATHEMATICS | p-iterate | p-limit point | TOPOLOGICAL DYNAMICS | Analysis | Resveratrol

p —iterate | Algebra | Mathematics | Discrete dynamical system | Compact metric countable space | Ellis semigroup | p —limit point | p—limit point | p—iterate | MATHEMATICS | p-iterate | p-limit point | TOPOLOGICAL DYNAMICS | Analysis | Resveratrol

Journal Article

Topology and its Applications, ISSN 0166-8641, 08/2019, Volume 263, pp. 257 - 278

We work in set theory without the Axiom of Choice (AC) and establish the following results:1.“Products of ultracompact spaces are ultracompact” + “there exists...

Vietoris (finite) topology | Weak axioms of choice | Ultracompact space | [formula omitted]-pseudocompact space | Hyperspace | [formula omitted]-bounded space | Sequentially limit point compact space | Filter | [formula omitted]-compact space | Countably compact space | [formula omitted]-limit point of sequence | Ultrafilter | Axiom of choice | Free ultrafilter | D-limit point of sequence | D-pseudocompact space | ULTRAFILTERS | MATHEMATICS, APPLIED | N-0-bounded space | AXIOM | MATHEMATICS | D-compact space | COMPACTNESS

Vietoris (finite) topology | Weak axioms of choice | Ultracompact space | [formula omitted]-pseudocompact space | Hyperspace | [formula omitted]-bounded space | Sequentially limit point compact space | Filter | [formula omitted]-compact space | Countably compact space | [formula omitted]-limit point of sequence | Ultrafilter | Axiom of choice | Free ultrafilter | D-limit point of sequence | D-pseudocompact space | ULTRAFILTERS | MATHEMATICS, APPLIED | N-0-bounded space | AXIOM | MATHEMATICS | D-compact space | COMPACTNESS

Journal Article

Science China Mathematics, ISSN 1674-7283, 9/2011, Volume 54, Issue 9, pp. 2013 - 2018

Let G be a graph and f: G → G be a continuous map. Denote by P(f), R(f), SA(f) and UΓ(f) the sets of periodic points, recurrent points, special α-limit points...

54E40 | unilateral γ -limit point | 37B20 | 54H20 | periodic point | graph map | Mathematics | Applications of Mathematics | 37E25 | recurrent point | special α -limit point | unilateral γ-limit point | special α-limit point | INTERVAL | MATHEMATICS | MATHEMATICS, APPLIED | unilateral gamma-limit point | CONTINUOUS SELF-MAP | SETS | TREE | DEPTH | special alpha-limit point | Graphs | Maps | Mathematical analysis | China | Unions

54E40 | unilateral γ -limit point | 37B20 | 54H20 | periodic point | graph map | Mathematics | Applications of Mathematics | 37E25 | recurrent point | special α -limit point | unilateral γ-limit point | special α-limit point | INTERVAL | MATHEMATICS | MATHEMATICS, APPLIED | unilateral gamma-limit point | CONTINUOUS SELF-MAP | SETS | TREE | DEPTH | special alpha-limit point | Graphs | Maps | Mathematical analysis | China | Unions

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 11/2011, Volume 218, Issue 5, pp. 2074 - 2081

Under some simple conditions on the coefficient a(t), we establish that the initial value problem D x′ +a(t)x=0,t>0,limt↘0[t x(t)]=0 has no solution in L...

solution | Sequential fractional differential equation | Limit-circle/limit-point classification of differential equations

solution | Sequential fractional differential equation | Limit-circle/limit-point classification of differential equations

Journal Article

Discrete Mathematics, ISSN 0012-365X, 06/2016, Volume 339, Issue 6, pp. 1682 - 1689

The generalized power of a simple graph G, denoted by Gk,s, is obtained from G by blowing up each vertex into an s-set and each edge into a k-set, where...

Hypergraph | Least eigenvalue | Signless Laplacian tensor | Limit point | Adjacency tensor

Hypergraph | Least eigenvalue | Signless Laplacian tensor | Limit point | Adjacency tensor

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 10/2014, Volume 458, pp. 526 - 533

Let N be a positive integer and R(N,N) denote the Ramsey number (see [15] or [11]) such that any graph with at least R(N,N) vertices contains a clique with N...

Limit of sets | Ramsey number | Limit point | Eigenvalues of graph | LIMIT POINTS | MATHEMATICS, APPLIED | Cytokinins | Yuan (China) | Statistics

Limit of sets | Ramsey number | Limit point | Eigenvalues of graph | LIMIT POINTS | MATHEMATICS, APPLIED | Cytokinins | Yuan (China) | Statistics

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 03/2018, Volume 291, Issue 4, pp. 652 - 668

Hain-Lust equations appear in magnetohydrodynamics. They are Sturm-Liouville equations with coefficients depending rationally on the eigenvalue parameter. In...

Weyl's limit-point | limit-circle classification | mixed-order differential system | ESSENTIAL SPECTRUM | S-HERMITIAN SYSTEMS | CANONICAL SYSTEMS | ORDINARY DIFFERENTIAL-OPERATORS | SELF-ADJOINTNESS | To be checked by Faculty | TITCHMARSH-WEYL COEFFICIENTS | Sturm-Liouville problem | STURM-LIOUVILLE PROBLEMS | HAMILTONIAN-SYSTEMS | EIGENVALUE PARAMETER | Hain-Lust equation | MIXED ORDER | Weyl's limit‐point/limit‐circle classification | mixed‐order differential system | 34B24 | Primary: 34B20; Secondary: 34A30 | Hain–Lüst equation | Sturm–Liouville problem | 34B07 | Weyl's limit-point/limit-circle classification | MATHEMATICS

Weyl's limit-point | limit-circle classification | mixed-order differential system | ESSENTIAL SPECTRUM | S-HERMITIAN SYSTEMS | CANONICAL SYSTEMS | ORDINARY DIFFERENTIAL-OPERATORS | SELF-ADJOINTNESS | To be checked by Faculty | TITCHMARSH-WEYL COEFFICIENTS | Sturm-Liouville problem | STURM-LIOUVILLE PROBLEMS | HAMILTONIAN-SYSTEMS | EIGENVALUE PARAMETER | Hain-Lust equation | MIXED ORDER | Weyl's limit‐point/limit‐circle classification | mixed‐order differential system | 34B24 | Primary: 34B20; Secondary: 34A30 | Hain–Lüst equation | Sturm–Liouville problem | 34B07 | Weyl's limit-point/limit-circle classification | MATHEMATICS

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 01/2016, Volume 144, Issue 1, pp. 259 - 268

to focus on the dynamical essentials rather than on functional analytical technicalities; in particular, those concerning asymptotic compactness properties.]]>

Nonautonomous dynamical system | 2-parameter semi-group | Forward attractor | Omega limit points | Pullback attractor | MATHEMATICS | forward attractor | MATHEMATICS, APPLIED | omega limit points | pullback attractor

Nonautonomous dynamical system | 2-parameter semi-group | Forward attractor | Omega limit points | Pullback attractor | MATHEMATICS | forward attractor | MATHEMATICS, APPLIED | omega limit points | pullback attractor

Journal Article

Shanghai Ligong Daxue Xuebao/Journal of University of Shanghai for Science and Technology, ISSN 1007-6735, 04/2018, Volume 40, Issue 2, pp. 121 - 126

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 2017, Volume 369, Issue 1, pp. 139 - 165

Journal Article

Journal of the Indian Mathematical Society, ISSN 0019-5839, 2018, Volume 85, Issue 1-2, pp. 42 - 52

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2011, Volume 218, Issue 5, pp. 2074 - 2081

Under some simple conditions on the coefficient a( t), we establish that the initial value problem 0 D t α x ′ + a ( t ) x = 0 , t > 0 , lim t ↘ 0 [ t 1 - α x...

Sequential fractional differential equation | Lp-solution | Limit-circle/limit-point classification of differential equations | L-p-solution | MATHEMATICS, APPLIED

Sequential fractional differential equation | Lp-solution | Limit-circle/limit-point classification of differential equations | L-p-solution | MATHEMATICS, APPLIED

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 01/2019, Volume 147, Issue 1, pp. 361 - 368

We show that every limit point of a Zariski dense discrete subgroup \Gamma of the isometry group of a symmetric space of noncompact type is conical if and only...

Convex cocompact group | Conical limit point | Symmetric space | MATHEMATICS | symmetric space | MATHEMATICS, APPLIED | convex cocompact group

Convex cocompact group | Conical limit point | Symmetric space | MATHEMATICS | symmetric space | MATHEMATICS, APPLIED | convex cocompact group

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 62, Issue 1, pp. 351 - 358

The concept of soft sets is introduced as a general mathematical tool for dealing with uncertainty. In this work, we define the soft topology on a soft set,...

Soft limit point | Soft topology | Soft Hausdorff space | Soft open sets | Soft closed sets | Soft sets | MATHEMATICS, APPLIED | SET-THEORY | Tools | Foundations | Uncertainty | Mathematical models | Topology | Dealing

Soft limit point | Soft topology | Soft Hausdorff space | Soft open sets | Soft closed sets | Soft sets | MATHEMATICS, APPLIED | SET-THEORY | Tools | Foundations | Uncertainty | Mathematical models | Topology | Dealing

Journal Article

CAD Computer Aided Design, ISSN 0010-4485, 11/2011, Volume 43, Issue 11, pp. 1527 - 1533

This paper presents a generalization of CatmullClark-variant DooSabin surfaces and non-uniform biquadratic B-spline surfaces called Non-Uniform Recursive...

DooSabin surfaces | Limit point rules | NURBS

DooSabin surfaces | Limit point rules | NURBS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2014, Volume 420, Issue 1, pp. 852 - 872

This paper addresses two different but related questions regarding an unbounded symmetric tridiagonal operator: its self-adjointness and the approximation of...

Spectrum of an operator | Self-adjointness | Jacobi continued fractions | Limit points of eigenvalues | Zeros of orthogonal polynomials | Unbounded Jacobi matrices | MATHEMATICS, APPLIED | THEOREM | JACOBI MATRICES | LIMIT POINTS | MATHEMATICS | EIGENVALUES | ASYMPTOTICS

Spectrum of an operator | Self-adjointness | Jacobi continued fractions | Limit points of eigenvalues | Zeros of orthogonal polynomials | Unbounded Jacobi matrices | MATHEMATICS, APPLIED | THEOREM | JACOBI MATRICES | LIMIT POINTS | MATHEMATICS | EIGENVALUES | ASYMPTOTICS

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 08/2019, Volume 575, pp. 250 - 272

Studying graphs by means of the largest eigenvalue of the adjacency matrix (the index) has been a problem largely investigated in Spectral Graph Theory. Here,...

Spectral ordering | Tree | Index | Limit point | Spectral radius | MATHEMATICS | MATHEMATICS, APPLIED | GRAPHS | Eigenvalues | Graphs | Trees (mathematics) | Graph theory

Spectral ordering | Tree | Index | Limit point | Spectral radius | MATHEMATICS | MATHEMATICS, APPLIED | GRAPHS | Eigenvalues | Graphs | Trees (mathematics) | Graph theory

Journal Article

Qualitative Theory of Dynamical Systems, ISSN 1575-5460, 4/2018, Volume 17, Issue 1, pp. 245 - 257

Let (X, d) be a compact metric space and f be a continuous map from X to X. Denote by R(f), $${ SA}(f)$$ SA(f) and $$\Gamma (f)$$ Γ(f) the set of recurrent...

Dendrite map | gamma $$ γ -Limit point | Special $$\alpha $$ α -limit point | 37B20 | 54H20 | Difference and Functional Equations | Mathematics, general | Mathematics | Recurrent point | 37B05 | Dynamical Systems and Ergodic Theory

Dendrite map | gamma $$ γ -Limit point | Special $$\alpha $$ α -limit point | 37B20 | 54H20 | Difference and Functional Equations | Mathematics, general | Mathematics | Recurrent point | 37B05 | Dynamical Systems and Ergodic Theory

Journal Article

Journal of Difference Equations and Applications, ISSN 1023-6198, 10/2017, Volume 23, Issue 10, pp. 1640 - 1651

This paper is concerned with the classification of non-self-adjoint second-order difference equations. The relationship between the number of summable...

limit point case | 47B39 | limit circle case | Weyl theory | non-self-adjoint | Primary: 34B20 | deficiency index | MATHEMATICS, APPLIED | SYMPLECTIC SYSTEMS | LINEAR HAMILTONIAN-SYSTEMS | WEYL-TITCHMARSH THEORY | DEFICIENCY-INDEXES | COEFFICIENTS | SPECTRUM | LIMIT-POINT | OPERATORS | Difference equations | Hamiltonian functions | Mathematical analysis | Classification

limit point case | 47B39 | limit circle case | Weyl theory | non-self-adjoint | Primary: 34B20 | deficiency index | MATHEMATICS, APPLIED | SYMPLECTIC SYSTEMS | LINEAR HAMILTONIAN-SYSTEMS | WEYL-TITCHMARSH THEORY | DEFICIENCY-INDEXES | COEFFICIENTS | SPECTRUM | LIMIT-POINT | OPERATORS | Difference equations | Hamiltonian functions | Mathematical analysis | Classification

Journal Article

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