Topological vector spaces; Sequences spaces; Conservence of series; Further developments in sequences spaces.
0. Introduction -- 1. Integrable functions and their primitives -- 2. Gauges and Borel measurability -- 3. Convergence -- 4. An abstract setting -- 5. An abstract setting with D countable -- 6. Locally convex topologies tolerant to Q-convergence -- 7. Topological vector spaces t…
Henstock-Kurzweil (HK) integration, which is based on integral sums, can be obtained by an inconspicuous change in the definition of Riemann integration. It is an extension of Lebesgue integration and there exists an HK-integrable function f such that its absolute value.
"A substantial number of problems in physics, chemical physics, and biology, are modeled through reaction-diffusion equations to describe temperature distribution or chemical substance concentration. For problems arising from ecology, sociology, or population dynamics, they desc…