Notes on Some Points in the Theory of Linear Differential Equations - Differential equations, Linear - 53 pages |
Common terms and phrases
2CMlt 9-tuple focus absolutely convergent Analytic Coefficients analytic solutions analytic throughout BÔCHER Cartesian Oval compute connected region continuous function continuous real functions convergent series convergent throughout CORNELL UNIVERSITY LIBRARY derivative vanishes differential equation Equations with Analytic exist which satisfy EXISTENCE THEOREM foci invert focus at infinity follows at once four tangents fourth focus inequality initial conditions last section Math nodal bicircular quartic Non-Singular Points P₁ point of AB positive constant positive quantity proof just given q are analytic q are continuous q are real quantity satisfying real analytic functions real foci real single finite real triple focus real variable real variable x region throughout satisfies equation satisfies the differential satisfies the initial series converges single finite foci single foci solutions obtained THEORY OF LINEAR throughout an interval throughout the interval vanish throughout whole interval Y₁ Y₂