Nonlinear Differential Equations and Dynamical Systems

This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value prob...

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Langue:anglais
Publié: MDPI - Multidisciplinary Digital Publishing Institute 2021
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collection Directory of Open Access Books
description This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.
format Online
id doab-20.500.12854ir-68582
institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-685822024-03-28T03:32:30Z Nonlinear Differential Equations and Dynamical Systems Minhós, Feliz Manuel Fialho, João fourth-order differential equations neutral delay oscillation ψ-Caputo fractional derivative Cauchy problem extremal solutions monotone iterative technique upper and lower solutions third-order differential equation boundary value problem existence sign conditions mixed type nonlinear equation hilfer operator mittag–leffler function spectral parameter solvability equations of the pseudo-elliptic type of third order energy estimate analog of the Saint-Venant principle even-order differential equations Dirac delta function distributional solution Laplace transform power series solution integro-differential equation mixed type equation small parameter spectral parameters Caputo operators of different fractional orders inverse problem one value solvability Rosenzweig–MacArthur model fractional derivatives threshold harvesting distributed-order fractional calculus basic optimal control problem Pontryagin extremals thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research. 2021-05-01T15:15:12Z 2021-05-01T15:15:12Z 2021 book ONIX_20210501_9783036507101_328 9783036507101 9783036507118 https://directory.doabooks.org/handle/20.500.12854/68582 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3603 https://mdpi.com/books/pdfview/book/3603 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-0711-8 10.3390/books978-3-0365-0711-8 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036507101 9783036507118 158 Basel, Switzerland open access
spellingShingle fourth-order differential equations
neutral delay
oscillation
ψ-Caputo fractional derivative
Cauchy problem extremal solutions
monotone iterative technique
upper and lower solutions
third-order differential equation
boundary value problem
existence
sign conditions
mixed type nonlinear equation
hilfer operator
mittag–leffler function
spectral parameter
solvability
equations of the pseudo-elliptic type of third order
energy estimate
analog of the Saint-Venant principle
even-order differential equations
Dirac delta function
distributional solution
Laplace transform
power series solution
integro-differential equation
mixed type equation
small parameter
spectral parameters
Caputo operators of different fractional orders
inverse problem
one value solvability
Rosenzweig–MacArthur model
fractional derivatives
threshold harvesting
distributed-order fractional calculus
basic optimal control problem
Pontryagin extremals
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Nonlinear Differential Equations and Dynamical Systems
title Nonlinear Differential Equations and Dynamical Systems
title_full Nonlinear Differential Equations and Dynamical Systems
title_fullStr Nonlinear Differential Equations and Dynamical Systems
title_full_unstemmed Nonlinear Differential Equations and Dynamical Systems
title_short Nonlinear Differential Equations and Dynamical Systems
title_sort nonlinear differential equations and dynamical systems
topic fourth-order differential equations
neutral delay
oscillation
ψ-Caputo fractional derivative
Cauchy problem extremal solutions
monotone iterative technique
upper and lower solutions
third-order differential equation
boundary value problem
existence
sign conditions
mixed type nonlinear equation
hilfer operator
mittag–leffler function
spectral parameter
solvability
equations of the pseudo-elliptic type of third order
energy estimate
analog of the Saint-Venant principle
even-order differential equations
Dirac delta function
distributional solution
Laplace transform
power series solution
integro-differential equation
mixed type equation
small parameter
spectral parameters
Caputo operators of different fractional orders
inverse problem
one value solvability
Rosenzweig–MacArthur model
fractional derivatives
threshold harvesting
distributed-order fractional calculus
basic optimal control problem
Pontryagin extremals
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet fourth-order differential equations
neutral delay
oscillation
ψ-Caputo fractional derivative
Cauchy problem extremal solutions
monotone iterative technique
upper and lower solutions
third-order differential equation
boundary value problem
existence
sign conditions
mixed type nonlinear equation
hilfer operator
mittag–leffler function
spectral parameter
solvability
equations of the pseudo-elliptic type of third order
energy estimate
analog of the Saint-Venant principle
even-order differential equations
Dirac delta function
distributional solution
Laplace transform
power series solution
integro-differential equation
mixed type equation
small parameter
spectral parameters
Caputo operators of different fractional orders
inverse problem
one value solvability
Rosenzweig–MacArthur model
fractional derivatives
threshold harvesting
distributed-order fractional calculus
basic optimal control problem
Pontryagin extremals
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20210501_9783036507101_328