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- W3023253453 abstract "Publisher SummaryThis chapter provides an overview of the mathematical theory and the analytical foundations of the differential and functional equations. The chapter discusses the complete theory of sets, functions, and sequences along with the expressions used for their representation. The chapter also discusses the topological vector spaces, various types of integrals, absolutely continuous functions on an interval, convex sets, and measurable set-valued mappings. It highlights the basic terminologies required for the solutions of both simple and complex differential and functional equations. A set A is sequentially closed if every convergent sequence in A has its limits in A. An extended real number is either a real number or one of the symbols –∞ and ∞ (or +∞). If X is a metric space and A ⊂ X, then the following statements are equivalent: (1) A is compact, (2) A is sequentially compact, and (3) A is complete and totally bounded." @default.
- W3023253453 created "2020-05-13" @default.
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- W3023253453 date "1972-01-01" @default.
- W3023253453 modified "2023-09-27" @default.
- W3023253453 title "Analytical Foundations" @default.
- W3023253453 doi "https://doi.org/10.1016/b978-0-12-735150-6.50006-3" @default.
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