On $L^2_w$-quasi-derivatives for solutions of perturbed general quasi-differential equations

Title:

On $L^2_w$-quasi-derivatives for solutions of perturbed general quasi-differential equations

Creator:

Sobhy , El-sayed Ibrahim

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:abd23554-8fca-4dbe-8d85-6a8833981eb9
uuid:abd23554-8fca-4dbe-8d85-6a8833981eb9

Subject:

quasi-differential operators, regular, singular, and bounded and square integrable solutions

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper is concerned with square integrable quasi-derivatives for any solution of a general quasi-differential equation of $n$th order with complex coefficients $M[y] - \lambda wy = wf (t, y^{[0]}, \ldots ,y^{[n-1]})$, $t\in [a,b)$ provided that all $r$th quasi-derivatives of solutions of $M[y] - \lambda w y = 0$ and all solutions of its normal adjoint $M^+[z] - \bar{\lambda } w z = 0$ are in $L^2_w (a,b)$ and under suitable conditions on the function $f$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

877-890

Source:

Czechoslovak Mathematical Journal | 1999 Volume:49 | Number:4

Harvested from:

CDK

Metadata only:

false