Coverart for item
The Resource Stability Theory for Dynamic Equations on Time Scales, by Anatoly A. Martynyuk, (electronic resource)

Stability Theory for Dynamic Equations on Time Scales, by Anatoly A. Martynyuk, (electronic resource)

Label
Stability Theory for Dynamic Equations on Time Scales
Title
Stability Theory for Dynamic Equations on Time Scales
Statement of responsibility
by Anatoly A. Martynyuk
Creator
Subject
Language
eng
Summary
This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems. In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion. In the book “Men of Mathematics,” 1937, E.T.Bell wrote: “A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.” Mathematical analysis on time scales accomplishes exactly this. This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Martynyuk, Anatoly A
Dewey number
515.48
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks
  • Systems & Control: Foundations & Applications,
http://library.link/vocab/subjectName
  • Mathematics
  • Dynamics
  • Ergodic theory
  • System theory
Label
Stability Theory for Dynamic Equations on Time Scales, by Anatoly A. Martynyuk, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-42213-8
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Contents -- Preface -- 1 Elements of Time Scales Analysis -- 2 Method of Dynamic Integral Inequalities -- 3 Lyapunov Theory for Dynamic Equations -- 4 Comparison Method -- 5 Applications -- References
Control code
978-3-319-42213-8
Dimensions
unknown
Extent
1 online resource (XI, 223 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319422138
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-42213-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)959329935
Label
Stability Theory for Dynamic Equations on Time Scales, by Anatoly A. Martynyuk, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-42213-8
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Contents -- Preface -- 1 Elements of Time Scales Analysis -- 2 Method of Dynamic Integral Inequalities -- 3 Lyapunov Theory for Dynamic Equations -- 4 Comparison Method -- 5 Applications -- References
Control code
978-3-319-42213-8
Dimensions
unknown
Extent
1 online resource (XI, 223 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319422138
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-42213-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)959329935

Library Locations

    • Badia FiesolanaBorrow it
      Via dei Roccettini 9, San Domenico di Fiesole, 50014, IT
      43.803074 11.283055
Processing Feedback ...