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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Year of Publication:2021
Language:English
Physical Description:1 electronic resource (158 p.)
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520 |a 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. 
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653 |a fourth-order differential equations 
653 |a neutral delay 
653 |a oscillation 
653 |a ψ-Caputo fractional derivative 
653 |a Cauchy problem extremal solutions 
653 |a monotone iterative technique 
653 |a upper and lower solutions 
653 |a third-order differential equation 
653 |a boundary value problem 
653 |a existence 
653 |a sign conditions 
653 |a mixed type nonlinear equation 
653 |a hilfer operator 
653 |a mittag–leffler function 
653 |a spectral parameter 
653 |a solvability 
653 |a equations of the pseudo-elliptic type of third order 
653 |a energy estimate 
653 |a analog of the Saint-Venant principle 
653 |a even-order differential equations 
653 |a Dirac delta function 
653 |a distributional solution 
653 |a Laplace transform 
653 |a power series solution 
653 |a integro-differential equation 
653 |a mixed type equation 
653 |a small parameter 
653 |a spectral parameters 
653 |a Caputo operators of different fractional orders 
653 |a inverse problem 
653 |a one value solvability 
653 |a Rosenzweig–MacArthur model 
653 |a fractional derivatives 
653 |a threshold harvesting 
653 |a distributed-order fractional calculus 
653 |a basic optimal control problem 
653 |a Pontryagin extremals 
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700 1 |a Fialho, João  |4 edt 
700 1 |a Minhós, Feliz Manuel  |4 oth 
700 1 |a Fialho, João  |4 oth 
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