DSpace Collection:
http://hdl.handle.net/10174/699
2024-03-28T23:24:47ZNonlinear higher order differential and integral coupled systems: Impulsive and Integral Equations on Bounded and Unbounded Domains
http://hdl.handle.net/10174/32977
Title: Nonlinear higher order differential and integral coupled systems: Impulsive and Integral Equations on Bounded and Unbounded Domains
Authors: Minhós, Feliz; de Sousa, Robert
Abstract: Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap.
The systems covered here include differential and integral equations of Hammerstein-type with boundary constraints, on bounded or unbounded intervals. These are presented in several forms and conditions (three points, mixed, with functional dependence, homoclinic and heteroclinic, amongst others). This would be the first time that differential and integral coupled systems are studied systematically.2022-04-30T23:00:00ZNeutrices and External Numbers A Flexible Number System
http://hdl.handle.net/10174/31526
Title: Neutrices and External Numbers A Flexible Number System
Authors: Dinis, Bruno; Berg, Imme van den
Abstract: Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of the nonstandard set of real numbers. Many illustrative examples are given. The book starts with detailed presentation of the algebraic structure of external numbers, then deals with the generalized Dedekind completeness property, applications in analysis, domains of validity of approximations of solutions of differential equations, particularly singular perturbations. Finally, it describes the family of algebraic laws characterizing the practice of calculations with external numbers.2019-01-01T00:00:00ZAnalytical and Numerical Methods for Differential Equations and Applications
http://hdl.handle.net/10174/31309
Title: Analytical and Numerical Methods for Differential Equations and Applications
Authors: Martin-Vaquero, Jesus; Minhós, Feliz; Guirao, Juan L. G.; Wade, Bruce Alan
Editors: Martin-Vaquero, Jesus; Minhós, Feliz; Guirao, Juan L. G.; Wade, Bruce Alan
Abstract: The book is a printed version of the Special issue Analytical and Numerical Methods for Differential Equations and Applications, published in Frontiers in Applied Mathematics and Statistics2021-08-08T23:00:00ZNonlinear Differential Equations and Dynamical Systems: Theory and Applications
http://hdl.handle.net/10174/31282
Title: Nonlinear Differential Equations and Dynamical Systems: Theory and Applications
Authors: Minhós, Feliz; Fialho, João
Editors: Minhós, Feliz; Fialho, João
Abstract: This book is a printed edition of the Special Issue Nonlinear Differential Equations and Dynamical Systems: Theory and Applications that was published in Axioms2021-03-31T23:00:00Z