Models of Delay Differential Equations

This book gathers a number of selected contributions aimed at providing a balanced picture of the main research lines in the realm of delay differential equations and their applications to mathematical modelling. The contributions have been carefully selected so that they cover interesting theoretic...

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Έκδοση: MDPI - Multidisciplinary Digital Publishing Institute 2022
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collection Directory of Open Access Books
description This book gathers a number of selected contributions aimed at providing a balanced picture of the main research lines in the realm of delay differential equations and their applications to mathematical modelling. The contributions have been carefully selected so that they cover interesting theoretical and practical analysis performed in the deterministic and the stochastic settings. The reader will find a complete overview of recent advances in ordinary and partial delay differential equations with applications in other multidisciplinary areas such as Finance, Epidemiology or Engineering
format Online
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institution Directory of Open Access Books
language eng
publishDate 2022
publishDateRange 2022
publishDateSort 2022
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-765112024-03-28T03:32:18Z Models of Delay Differential Equations Rodríguez, Francisco Cortés López, Juan Carlos Castro, María Ángeles delay systems nonstandard numerical methods dynamic consistency semilinear problems with delay hyperbolic equations difference scheme stability Hilbert space SEIRS model age structure time delay traveling wave solution local asymptotic stability Hopf bifurcation spot freight rates freight options stochastic diffusion process stochastic delay differential equation risk-neutral measure arbitration arguments partial differential equations second-order dual phase lag equation laser heating thin metal films melting and resolidification finite difference method random linear delay differential equation stochastic forcing term random Lp-calculus uncertainty quantification delay random differential equation non-standard finite difference method mean square convergence size-structured population consumer-resource model delay differential equation numerical methods characteristics method convergence analysis implementation delay information delay stability switching curve Cournot oligopoly growth rate dynamics fractional convection diffusion-wave equations compact difference scheme nonlinear delay spatial variable coefficients convergence and stability Gerasimov–Caputo fractional derivative differential equation with delay degenerate evolution equation fixed point theorem relaxation mode large parameter asymptotics HIV infection mathematical delay model eclipse phase NSFD numerical simulation thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science This book gathers a number of selected contributions aimed at providing a balanced picture of the main research lines in the realm of delay differential equations and their applications to mathematical modelling. The contributions have been carefully selected so that they cover interesting theoretical and practical analysis performed in the deterministic and the stochastic settings. The reader will find a complete overview of recent advances in ordinary and partial delay differential equations with applications in other multidisciplinary areas such as Finance, Epidemiology or Engineering 2022-01-11T13:33:55Z 2022-01-11T13:33:55Z 2021 book ONIX_20220111_9783036509327_247 9783036509327 9783036509334 https://directory.doabooks.org/handle/20.500.12854/76511 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/3957 https://mdpi.com/books/pdfview/book/3957 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-0933-4 10.3390/books978-3-0365-0933-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036509327 9783036509334 248 Basel, Switzerland open access
spellingShingle delay systems
nonstandard numerical methods
dynamic consistency
semilinear problems with delay
hyperbolic equations
difference scheme
stability
Hilbert space
SEIRS model
age structure
time delay
traveling wave solution
local asymptotic stability
Hopf bifurcation
spot freight rates
freight options
stochastic diffusion process
stochastic delay differential equation
risk-neutral measure
arbitration arguments
partial differential equations
second-order dual phase lag equation
laser heating
thin metal films
melting and resolidification
finite difference method
random linear delay differential equation
stochastic forcing term
random Lp-calculus
uncertainty quantification
delay random differential equation
non-standard finite difference method
mean square convergence
size-structured population
consumer-resource model
delay differential equation
numerical methods
characteristics method
convergence analysis
implementation delay
information delay
stability switching curve
Cournot oligopoly
growth rate dynamics
fractional convection diffusion-wave equations
compact difference scheme
nonlinear delay
spatial variable coefficients
convergence and stability
Gerasimov–Caputo fractional derivative
differential equation with delay
degenerate evolution equation
fixed point theorem
relaxation mode
large parameter
asymptotics
HIV infection
mathematical delay model
eclipse phase
NSFD
numerical simulation
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Models of Delay Differential Equations
title Models of Delay Differential Equations
title_full Models of Delay Differential Equations
title_fullStr Models of Delay Differential Equations
title_full_unstemmed Models of Delay Differential Equations
title_short Models of Delay Differential Equations
title_sort models of delay differential equations
topic delay systems
nonstandard numerical methods
dynamic consistency
semilinear problems with delay
hyperbolic equations
difference scheme
stability
Hilbert space
SEIRS model
age structure
time delay
traveling wave solution
local asymptotic stability
Hopf bifurcation
spot freight rates
freight options
stochastic diffusion process
stochastic delay differential equation
risk-neutral measure
arbitration arguments
partial differential equations
second-order dual phase lag equation
laser heating
thin metal films
melting and resolidification
finite difference method
random linear delay differential equation
stochastic forcing term
random Lp-calculus
uncertainty quantification
delay random differential equation
non-standard finite difference method
mean square convergence
size-structured population
consumer-resource model
delay differential equation
numerical methods
characteristics method
convergence analysis
implementation delay
information delay
stability switching curve
Cournot oligopoly
growth rate dynamics
fractional convection diffusion-wave equations
compact difference scheme
nonlinear delay
spatial variable coefficients
convergence and stability
Gerasimov–Caputo fractional derivative
differential equation with delay
degenerate evolution equation
fixed point theorem
relaxation mode
large parameter
asymptotics
HIV infection
mathematical delay model
eclipse phase
NSFD
numerical simulation
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet delay systems
nonstandard numerical methods
dynamic consistency
semilinear problems with delay
hyperbolic equations
difference scheme
stability
Hilbert space
SEIRS model
age structure
time delay
traveling wave solution
local asymptotic stability
Hopf bifurcation
spot freight rates
freight options
stochastic diffusion process
stochastic delay differential equation
risk-neutral measure
arbitration arguments
partial differential equations
second-order dual phase lag equation
laser heating
thin metal films
melting and resolidification
finite difference method
random linear delay differential equation
stochastic forcing term
random Lp-calculus
uncertainty quantification
delay random differential equation
non-standard finite difference method
mean square convergence
size-structured population
consumer-resource model
delay differential equation
numerical methods
characteristics method
convergence analysis
implementation delay
information delay
stability switching curve
Cournot oligopoly
growth rate dynamics
fractional convection diffusion-wave equations
compact difference scheme
nonlinear delay
spatial variable coefficients
convergence and stability
Gerasimov–Caputo fractional derivative
differential equation with delay
degenerate evolution equation
fixed point theorem
relaxation mode
large parameter
asymptotics
HIV infection
mathematical delay model
eclipse phase
NSFD
numerical simulation
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20220111_9783036509327_247