Advances in Delay Differential Equations

The present reprint contains the 11 articles published in the Special Issue “Advances in Delay Differential Equations” of the MDPI journal Mathematics. The papers cover a wide range of topics connected to the theory of differential equations with delay. These topics include, among others, the constr...

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言語:英語
出版事項: MDPI - Multidisciplinary Digital Publishing Institute 2023
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collection Directory of Open Access Books
description The present reprint contains the 11 articles published in the Special Issue “Advances in Delay Differential Equations” of the MDPI journal Mathematics. The papers cover a wide range of topics connected to the theory of differential equations with delay. These topics include, among others, the construction of solutions, analytical and numerical methods for; dynamical properties of; and applications of DDE to the mathematical modeling of various phenomena and processes in physics, biology, ecology, and medicine. It is hoped that the reprint will be interesting and useful for those working in the area of differential equations with delays and nonlinear dynamics, as well as for those with the proper mathematical background who are willing to become familiar with recent advances in mathematical modelling, which have now entered almost all areas of science.
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id doab-20.500.12854ir-112537
institution Directory of Open Access Books
language eng
publishDate 2023
publishDateRange 2023
publishDateSort 2023
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-1125372024-03-28T03:32:15Z Advances in Delay Differential Equations Kashchenko, Alexandra stochastic processes stochastic differential equation coupled system nonlocal stochastic integral conditions Ulam stability delay integro-differential equation Gronwall–Bellman inequality semi-Hyers–Ulam–Rassias stability delay differential equations Laplace transform epidemic model disease duration time delay COVID-19 logistic equation delay quasinormal form asymptotic behavior dynamics carbon absorption-emission model multiple time scales method normal form Hopf bifurcation asymptotics large parameter relaxation oscillations periodic solutions HIV AIDS PrEP differential–difference system discrete delay France neutral differential equations higher-order oscillation theory monotonic properties noncanonical case stability Andronov–Hopf bifurcation normal forms Kuramoto model synchronization thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science The present reprint contains the 11 articles published in the Special Issue “Advances in Delay Differential Equations” of the MDPI journal Mathematics. The papers cover a wide range of topics connected to the theory of differential equations with delay. These topics include, among others, the construction of solutions, analytical and numerical methods for; dynamical properties of; and applications of DDE to the mathematical modeling of various phenomena and processes in physics, biology, ecology, and medicine. It is hoped that the reprint will be interesting and useful for those working in the area of differential equations with delays and nonlinear dynamics, as well as for those with the proper mathematical background who are willing to become familiar with recent advances in mathematical modelling, which have now entered almost all areas of science. 2023-08-08T15:26:02Z 2023-08-08T15:26:02Z 2023 book ONIX_20230808_9783036582863_43 9783036582863 9783036582870 https://directory.doabooks.org/handle/20.500.12854/112537 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/7663 https://mdpi.com/books/pdfview/book/7663 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-8287-0 10.3390/books978-3-0365-8287-0 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036582863 9783036582870 212 Basel open access
spellingShingle stochastic processes
stochastic differential equation
coupled system
nonlocal stochastic integral conditions
Ulam stability
delay integro-differential equation
Gronwall–Bellman inequality
semi-Hyers–Ulam–Rassias stability
delay differential equations
Laplace transform
epidemic model
disease duration
time delay
COVID-19
logistic equation
delay
quasinormal form
asymptotic behavior
dynamics
carbon absorption-emission model
multiple time scales method
normal form
Hopf bifurcation
asymptotics
large parameter
relaxation oscillations
periodic solutions
HIV
AIDS
PrEP
differential–difference system
discrete delay
France
neutral differential equations
higher-order
oscillation theory
monotonic properties
noncanonical case
stability
Andronov–Hopf bifurcation
normal forms
Kuramoto model
synchronization
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Advances in Delay Differential Equations
title Advances in Delay Differential Equations
title_full Advances in Delay Differential Equations
title_fullStr Advances in Delay Differential Equations
title_full_unstemmed Advances in Delay Differential Equations
title_short Advances in Delay Differential Equations
title_sort advances in delay differential equations
topic stochastic processes
stochastic differential equation
coupled system
nonlocal stochastic integral conditions
Ulam stability
delay integro-differential equation
Gronwall–Bellman inequality
semi-Hyers–Ulam–Rassias stability
delay differential equations
Laplace transform
epidemic model
disease duration
time delay
COVID-19
logistic equation
delay
quasinormal form
asymptotic behavior
dynamics
carbon absorption-emission model
multiple time scales method
normal form
Hopf bifurcation
asymptotics
large parameter
relaxation oscillations
periodic solutions
HIV
AIDS
PrEP
differential–difference system
discrete delay
France
neutral differential equations
higher-order
oscillation theory
monotonic properties
noncanonical case
stability
Andronov–Hopf bifurcation
normal forms
Kuramoto model
synchronization
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet stochastic processes
stochastic differential equation
coupled system
nonlocal stochastic integral conditions
Ulam stability
delay integro-differential equation
Gronwall–Bellman inequality
semi-Hyers–Ulam–Rassias stability
delay differential equations
Laplace transform
epidemic model
disease duration
time delay
COVID-19
logistic equation
delay
quasinormal form
asymptotic behavior
dynamics
carbon absorption-emission model
multiple time scales method
normal form
Hopf bifurcation
asymptotics
large parameter
relaxation oscillations
periodic solutions
HIV
AIDS
PrEP
differential–difference system
discrete delay
France
neutral differential equations
higher-order
oscillation theory
monotonic properties
noncanonical case
stability
Andronov–Hopf bifurcation
normal forms
Kuramoto model
synchronization
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20230808_9783036582863_43