1. Nonlinear Differential Equations and Dynamical Systems. Theory and Applications.
- Author
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Minhós, Feliz Manuel, Fialho, João, and Minhós, Feliz Manuel
- Subjects
Mathematics & science ,Research & information: general ,Caputo operators of different fractional orders ,Cauchy problem extremal solutions ,Dirac delta function ,Laplace transform ,Pontryagin extremals ,Rosenzweig-MacArthur model ,analog of the Saint-Venant principle ,basic optimal control problem ,boundary value problem ,distributed-order fractional calculus ,distributional solution ,energy estimate ,equations of the pseudo-elliptic type of third order ,even-order differential equations ,existence ,fourth-order differential equations ,fractional derivatives ,hilfer operator ,integro-differential equation ,inverse problem ,mittag-leffler function ,mixed type equation ,mixed type nonlinear equation ,monotone iterative technique ,neutral delay ,one value solvability ,oscillation ,power series solution ,sign conditions ,small parameter ,solvability ,spectral parameter ,spectral parameters ,third-order differential equation ,threshold harvesting ,upper and lower solutions ,ψ-Caputo fractional derivative - Abstract
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.