self-adjoint form

d dt. (2P(t)x′(t)) − 2Q(t)x(t) = 0. (4). 2 - Linear second order equations in self-similar form. A “self-adjoint” linear...

self-adjoint form

d dt. (2P(t)x′(t)) − 2Q(t)x(t) = 0. (4). 2 - Linear second order equations in self-similar form. A “self-adjoint” linear second order O.D.E. has the form. (p(t)x′(t)). ′. , Divide by x and find (xy′(x))′+μxy(x)=0. In general, you compute the derivatives in the self-adjoint form and then compare coefficients, ...

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self-adjoint form 相關參考資料
How to write a non-homogeneous equation in self-adjoint form ...

How to write a non-homogeneous equation in self-adjoint form · Ask Question. 1. How can I write a non-homogeneous equation in self-dajoint ...

https://math.stackexchange.com

Math 411 - Ordinary Differential Equations

d dt. (2P(t)x′(t)) − 2Q(t)x(t) = 0. (4). 2 - Linear second order equations in self-similar form. A “self-adjoint” linear second order O.D.E. has the form. (p(t)x′(t)). ′.

https://www.math.psu.edu

ordinary differential equations - Find the self-adjoint form of the ODE ...

Divide by x and find (xy′(x))′+μxy(x)=0. In general, you compute the derivatives in the self-adjoint form and then compare coefficients, ...

https://math.stackexchange.com

Self-adjoint - Wikipedia

In mathematics, an element x of a *-algebra is self-adjoint if x ∗ = x -displaystyle x^*}=x} x^*}=x . A collection C of elements of a star-algebra is self-adjoint if it is ...

https://en.wikipedia.org

Self-Adjoint -- from Wolfram MathWorld

where u=u(x) and p_i=p_i(x) are real functions of x on the region of interest [a,b] with 2-i continuous derivatives and with p_0(x)!=0 on [a,b] . This means that ...

http://mathworld.wolfram.com

Self-adjoint differential equation - Encyclopedia of Mathematics

... real-valued functions and . A self-adjoint differential equation with real coefficients is necessarily of even order, and has the form ...

https://www.encyclopediaofmath

Self-adjoint differential equations - Physics Pages

A self-adjoint operator can be written in the condensed form ... always transform the equation in self-adjoint form, assuming that p0 = 0. If.

http://physicspages.com

Sturm–Liouville theory - Wikipedia

In mathematics and its applications, a classical Sturm–Liouville theory, named after Jacques .... The differential equation (1) is said to be in Sturm–Liouville form or self-adjoint form. All second-o...

https://en.wikipedia.org

邊界值問題- Sturm Liouville Problem

1. ≥ n 。 Eigenfunctions:. 0. ,1. ],. [sin. ≠. ≥. -. = A n x x. A y n n n λ λ 。 •. Self-Adjoint Form. 任意的線性二階參數型微分方程式均可以化成Sturm-Liouville Form,即.

http://bem.bime.ntu.edu.tw