Reprint

# Nonlinear Differential Equations and Dynamical Systems

## Theory and Applications

Edited by

April 2021

158 pages

- ISBN978-3-0365-0710-1 (Hardback)
- ISBN978-3-0365-0711-8 (PDF)

This is a Reprint of the Special Issue Nonlinear Differential Equations and Dynamical Systems: Theory and Applications that was published in

Computer Science & Mathematics

Physical Sciences

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.

Format

- Hardback

License and Copyright

© 2022 by the authors; CC BY-NC-ND license

Keywords

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; boundary value problem; 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; neutral delay; oscillation; 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