New Trends in Differential and Difference Equations and Applications

This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques use...

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Hlavní autoři: Minhós, Feliz Manuel, Fialho, João
Médium: Online
Jazyk:angličtina
Vydáno: MDPI - Multidisciplinary Digital Publishing Institute 2021
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On-line přístup:42577
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author Minhós, Feliz Manuel
Fialho, João
author_browse Fialho, João
Minhós, Feliz Manuel
author_facet Minhós, Feliz Manuel
Fialho, João
author_sort Minhós, Feliz Manuel
collection Directory of Open Access Books
description This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas and to emphasize their applicability to real-life phenomena, by the inclusion of examples. These examples not only clarify the theoretical results presented, but also provide insight on how to apply, for future works, the techniques used.
format Online
id doab-20.500.12854ir-54624
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-546242023-12-20T18:40:39Z New Trends in Differential and Difference Equations and Applications Minhós, Feliz Manuel Fialho, João QA1-939 Q1-390 heteroclinic solutions non-instantaneous impulses Schauder’s fixed point theory dichotomy second-order differential/difference/q-difference equation of hypergeometric type differential equations a priori estimates global solutions generalized Liouville equation Hilbert space dissipation collocation method exponential dichotomy Sumudu decomposition method three-step Taylor method dynamical system lower and upper solutions problems in the real line Nagumo condition on the real line SIRS epidemic model first order periodic systems regular solutions Clairin’s method coupled nonlinear systems Navier–Stokes equations Bäcklund transformation asymptotic stability Caputo fractional derivative exponential stability difference equations lipschitz stability strong nonlinearities polynomial solution integro-differentials kinetic energy Legendre wavelets weak solutions discrete Lyapunov equation population dynamics non-uniform lattices Korteweg-de Vries equation time-dependent partial differential equations mean curvature operator functional boundary conditions mathematical modelling fixed point theory limit-periodic solutions Arzèla Ascoli theorem Miura transformation state dependent delays ?-Laplacian operator divided-difference equations effective existence criteria bic Book Industry Communication::P Mathematics & science This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas and to emphasize their applicability to real-life phenomena, by the inclusion of examples. These examples not only clarify the theoretical results presented, but also provide insight on how to apply, for future works, the techniques used. 2021-02-11T20:57:19Z 2021-02-11T20:57:19Z 2019-12-09 11:49:15 2019 book 42577 9783039215393 9783039215386 https://directory.doabooks.org/handle/20.500.12854/54624 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/1696 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03921-539-3 10.3390/books978-3-03921-539-3 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039215393 9783039215386 198 open access
spellingShingle QA1-939
Q1-390
heteroclinic solutions
non-instantaneous impulses
Schauder’s fixed point theory
dichotomy
second-order differential/difference/q-difference equation of hypergeometric type
differential equations
a priori estimates
global solutions
generalized Liouville equation
Hilbert space
dissipation
collocation method
exponential dichotomy
Sumudu decomposition method
three-step Taylor method
dynamical system
lower and upper solutions
problems in the real line
Nagumo condition on the real line
SIRS epidemic model
first order periodic systems
regular solutions
Clairin’s method
coupled nonlinear systems
Navier–Stokes equations
Bäcklund transformation
asymptotic stability
Caputo fractional derivative
exponential stability
difference equations
lipschitz stability
strong nonlinearities
polynomial solution
integro-differentials
kinetic energy
Legendre wavelets
weak solutions
discrete Lyapunov equation
population dynamics
non-uniform lattices
Korteweg-de Vries equation
time-dependent partial differential equations
mean curvature operator
functional boundary conditions
mathematical modelling
fixed point theory
limit-periodic solutions
Arzèla Ascoli theorem
Miura transformation
state dependent delays
?-Laplacian operator
divided-difference equations
effective existence criteria
bic Book Industry Communication::P Mathematics & science
Minhós, Feliz Manuel
Fialho, João
New Trends in Differential and Difference Equations and Applications
title New Trends in Differential and Difference Equations and Applications
title_full New Trends in Differential and Difference Equations and Applications
title_fullStr New Trends in Differential and Difference Equations and Applications
title_full_unstemmed New Trends in Differential and Difference Equations and Applications
title_short New Trends in Differential and Difference Equations and Applications
title_sort new trends in differential and difference equations and applications
topic QA1-939
Q1-390
heteroclinic solutions
non-instantaneous impulses
Schauder’s fixed point theory
dichotomy
second-order differential/difference/q-difference equation of hypergeometric type
differential equations
a priori estimates
global solutions
generalized Liouville equation
Hilbert space
dissipation
collocation method
exponential dichotomy
Sumudu decomposition method
three-step Taylor method
dynamical system
lower and upper solutions
problems in the real line
Nagumo condition on the real line
SIRS epidemic model
first order periodic systems
regular solutions
Clairin’s method
coupled nonlinear systems
Navier–Stokes equations
Bäcklund transformation
asymptotic stability
Caputo fractional derivative
exponential stability
difference equations
lipschitz stability
strong nonlinearities
polynomial solution
integro-differentials
kinetic energy
Legendre wavelets
weak solutions
discrete Lyapunov equation
population dynamics
non-uniform lattices
Korteweg-de Vries equation
time-dependent partial differential equations
mean curvature operator
functional boundary conditions
mathematical modelling
fixed point theory
limit-periodic solutions
Arzèla Ascoli theorem
Miura transformation
state dependent delays
?-Laplacian operator
divided-difference equations
effective existence criteria
bic Book Industry Communication::P Mathematics & science
topic_facet QA1-939
Q1-390
heteroclinic solutions
non-instantaneous impulses
Schauder’s fixed point theory
dichotomy
second-order differential/difference/q-difference equation of hypergeometric type
differential equations
a priori estimates
global solutions
generalized Liouville equation
Hilbert space
dissipation
collocation method
exponential dichotomy
Sumudu decomposition method
three-step Taylor method
dynamical system
lower and upper solutions
problems in the real line
Nagumo condition on the real line
SIRS epidemic model
first order periodic systems
regular solutions
Clairin’s method
coupled nonlinear systems
Navier–Stokes equations
Bäcklund transformation
asymptotic stability
Caputo fractional derivative
exponential stability
difference equations
lipschitz stability
strong nonlinearities
polynomial solution
integro-differentials
kinetic energy
Legendre wavelets
weak solutions
discrete Lyapunov equation
population dynamics
non-uniform lattices
Korteweg-de Vries equation
time-dependent partial differential equations
mean curvature operator
functional boundary conditions
mathematical modelling
fixed point theory
limit-periodic solutions
Arzèla Ascoli theorem
Miura transformation
state dependent delays
?-Laplacian operator
divided-difference equations
effective existence criteria
bic Book Industry Communication::P Mathematics & science
url 42577
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