Nonlinear Differential Equations and Dynamical Systems : Theory and Applications

Nonlinear Differential Equations and Dynamical Systems : Theory and Applications

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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Bibliographic Details
Other Authors: Minhós, Feliz Manuel (Editor), Fialho, João (Editor)
Format: Book Chapter
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Subjects:
Research & information: general
Mathematics & science
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
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Description
Summary: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.
Physical Description:1 electronic resource (158 p.)
ISBN:books978-3-0365-0711-8
9783036507101
9783036507118
Access:Open Access

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