Ebook: Qualitative and quantitative analysis of nonlinear systems: theory and applications

Preface; Scope; Contents; Audience; Acknowledgements; Contents; Introduction: Special Classes of Extended Phase Spaces of Distributions; Sums and Intersections of Banach Spaces; Gelfand Triple; Special Classes of Bochner Integrable Functions; Generalized Derivatives; Extended Phase Spaces; References; Part I Existence and Regularity Results, Quantitative Methods and Their Convergence; 1 Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Results; 1.1 First Order Differential-Operator Equations and Inclusions; 1.1.1 Setting of the Problem; 1.1.2 Main Assumptions