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Asymptotic Solutions of a Linear Second Order Differential Equation with Two Turning Points

Asymptotic Solutions of a Linear Second Order Differential Equation with Two Turning Points PDF Author: Wallace Eugene Johnson
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 70

Book Description

Asymptotic Solutions of a Linear Second Order Differential Equation with Two Turning Points

Asymptotic Solutions of a Linear Second Order Differential Equation with Two Turning Points PDF Author: Wallace Eugene Johnson
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 70

Book Description

On the Asymptotic Solutions of Ordinary Linear Differential Equations about a Turning Point

On the Asymptotic Solutions of Ordinary Linear Differential Equations about a Turning Point PDF Author: Rudolph Ernest Langer
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 44

Book Description

A Uniform Asymptotic Solution to a Second Order Linear Ordinary Differential Equation with Turning Points

A Uniform Asymptotic Solution to a Second Order Linear Ordinary Differential Equation with Turning Points PDF Author: James L. Myers
Publisher:
ISBN:
Category : Asymptotic expansions
Languages : en
Pages : 176

Book Description

The asymptotic solution of linear second order differential equations in a domain containing a turning point and regular singularity

The asymptotic solution of linear second order differential equations in a domain containing a turning point and regular singularity PDF Author: R. C. Thorne
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 140

Book Description

Uniform Asymptotic Solutions of Second Order, Linear, Ordinary Differential Equations with Turning Points

Uniform Asymptotic Solutions of Second Order, Linear, Ordinary Differential Equations with Turning Points PDF Author: Roger Yen Shen Lynn
Publisher:
ISBN:
Category :
Languages : en
Pages : 170

Book Description

Uniform Asymptotic Solutions with Respect to a Parameter for Linear Second Order Ordinary Differential Equations with Turning Points

Uniform Asymptotic Solutions with Respect to a Parameter for Linear Second Order Ordinary Differential Equations with Turning Points PDF Author: Barry Willner
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description

The Solutions of Second Order Linear Ordinary Differential Equations about a Turning Point of the Second Order

The Solutions of Second Order Linear Ordinary Differential Equations about a Turning Point of the Second Order PDF Author: Robert W. McKelvey
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 78

Book Description

The Construction of Related Equations for the Asymptotic Theory of Linear Ordinary Differential Equations about a Turning Point

The Construction of Related Equations for the Asymptotic Theory of Linear Ordinary Differential Equations about a Turning Point PDF Author: RUDOLPH E. LANGER
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 1

Book Description
Fully developed theory is extant, and can justifiably be referred to as classical, for the determination of the asymptotic forms of the solutions of a differential equation over any closed zregion which completely excludes turning-points. This theory applies, of course, irrespective of the region, to all equations with constant coefficients. The state of the theory is very different, namely quite fragmentary, when a turningpoint is lodged within the region. For this reason, and also because modern physical theories require it, the stdy of the solution forms of an equation in a region about a turning-point is of emminent contemporary interest. The classical algorithms fail irretrievably in such a region, a fact which has been shown to be inevitable by results otherwise obtained, because the forms yielded by those algorithms lak adequacy to reflect the intricate functional metamorphoses which characterize the solutions of the differential equation in a turning-point neighborhood. The origin is in this case a turning point, and bout this point the solutions undergo transitions between oscillatory and exponential function types. (Author).

The Asymptotic Solution of Differential Equations with a Turning Point and Singularities

The Asymptotic Solution of Differential Equations with a Turning Point and Singularities PDF Author: R. C. Thorne
Publisher:
ISBN:
Category : Asymptotic expansions
Languages : en
Pages : 22

Book Description

Asymptotic Expansions for Ordinary Differential Equations

Asymptotic Expansions for Ordinary Differential Equations PDF Author: Wolfgang Wasow
Publisher: Courier Dover Publications
ISBN: 0486824586
Category : Mathematics
Languages : en
Pages : 385

Book Description
This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.
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