LYNESS DIFERENČU VIENĀDOJUMS

6533b871fe1ef96bd12d0a1d

RESEARCH PRODUCT

LYNESS DIFERENČU VIENĀDOJUMS

subject

diferenču vienādojums Matemātika līdzsvars atrisinājuma periodiskums Lyness vienādojums stabilitāte

description

Bakalaura darbā tiek apskatīts klasiskais Lyness diferenču vienādojums: x_(n+1)=(x_n+a)/x_(n-1) , n=0,1,… . Formulētas tās definīcijas un teorēmas no diferenču vienādojumu teorijas, kas nepieciešamas, lai analizētu minēto diferenču vienādojumu. Veikta klasiskā Lyness diferenču vienādojuma līdzsvara punkta analīze un apskatīti piemēri ar dažādām parametra a un sākuma vērtībām, konstatēts atrisinājuma periodiskums pie a=1 un a=0. Ieskicēta neatrisinātā problēma par atrisinājumu izturēšanos, ja parametrs a ir periodiska virkne.

year	journal	country	edition	language
2020-01-01

https://dspace.lu.lv/dspace/handle/7/51008

PEPhysical Sciences and Engineering
- PE2Fundamental Constituents of Matter
  - PE2_1Theory of fundamental interactions
  - PE2_2 Phenomenology of fundamental interactions
  - PE2_3Experimental particle physics with accelerators
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  - PE2_6Nuclear, hadron and heavy ion physics
  - PE2_8Gas and plasma physics
  - PE2_5Classical and quantum physics of gravitational interactions
  - PE2_7Nuclear and particle astrophysics
  - PE2_9 Electromagnetism
  - PE2_10Atomic, molecular physics
  - PE2_11Ultra-cold atoms and molecules
  - PE2_18Equilibrium and non-equilibrium statistical mechanics: steady states and dynamics
  - PE2_14Lasers, ultra-short lasers and laser physics
  - PE2_17Metrology and measurement
  - PE2_16Non-linear physics
  - PE2_12Optics, non-linear optics and nano-optics
  - PE2_13Quantum optics and quantum information
  - PE2_15Thermodynamics
- PE1Mathematics
  - PE1_1Logic and foundations
  - PE1_6Geometry and global analysis
  - PE1_8Analysis
  - PE1_7Topology
  - PE1_9Operator algebras and functional analysis
  - PE1_10ODE and dynamical systems
  - PE1_12Mathematical physics
  - PE1_11Theoretical aspects of partial differential equations
  - PE1_13Probability
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  - PE1_4 Algebraic and complex geometry
  - PE1_19Scientific computing and data processing
  - PE1_2Algebra
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  - PE1_21Application of mathematics in sciences
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  - PE1_5Lie groups, Lie algebras
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  - PE1_3Number theory
- PE3Condensed Matter Physics
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  - PE11_10Soft materials engineering, e.g. gels, foams, colloids
  - PE11_11Porous materials engineering, e.g. covalent-organic, metal-organic, porous aromatic frameworks
  - PE11_12Semi-conducting and magnetic materials engineering
  - PE11_13Metamaterials engineering
  - PE11_14Computational methods for materials engineering
LSLife Sciences
- LS1Molecules of Life: Biological Mechanisms, Structures and Functions
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  - LS1_11Chemical biology
  - LS1_12Protein design
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  - LS1_14Innovative methods and modelling in molecular, structural and synthetic biology
  - LS1_10Synthetic biology
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  - LS1_9Molecular mechanisms of signalling processes
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- LS2Integrative Biology: from Genes and Genomes to Systems
  - LS2_1Genetics
  - LS2_3Epigenetics
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  - LS2_9Metabolomics
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- LS4Physiology in Health, Disease and Ageing
  - LS4_1Organ and tissue physiology and pathophysiology
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  - LS4_3Physiology of ageing
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- LS3Cell Biology, Development, Stem Cells and Regeneration
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SHSocial Sciences and Humanities
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