6533b86dfe1ef96bd12ca801

RESEARCH PRODUCT

On the Convergence of Formal Integrals in Finite Time

José Manuel Guaita Martínez

subject

Order of integration (calculus)Series (mathematics)Normal convergenceMathematical analysisConvergence (routing)Zero (complex analysis)Convergence testsFinite timeModes of convergenceMathematics

description

Consider a differential system: x = f (x) + e g(x), \(x \in {R^n}.\). Let h(x) = ho(x) + eh1 (x)... a “third” integral. For finite time t, I obtain an eo such that the series h(x) converges if e > eo. When t tends to infinite, eo tends to zero.

https://doi.org/10.1007/978-94-009-7793-8_43