Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0829.34054
Neuman, František
On equivalence of linear functional-differential equations. (English)
[J] Result. Math. 26, No.3-4, 354-359 (1994). ISSN 1422-6383; ISSN 0378-6218/e

The first order ordinary differential equations $y'(x) = p_0 (x)y(x) + \sum ^k_{i = 1} p_i (x)y (\psi_i (x))$ (with $k$ deviating arguments, $k \ge 1$ is fixed) are divided into equivalence classes by means of transformations $x = h(t)$ and $z(t) = f(t) y(h(t))$. The author deals with the classes that contains an equation with $k$ constant deviations $\psi_i (x) = x - c_i$. A criterion when two equations with constant deviations lie in the same class is established. This result is explicitly applied to the case $p_0 \equiv 0$, $k = 1$, $p_1 = \text {const}$.
[J.Šimša (Brno)]

MSC 2000:: *34K05 General theory of functional-differential equations
34K99 Functional-differential equations
39B12 Iteraterative functional equations
39B62 Systems of functional equations

Keywords: first order ordinary differential equations; equivalence classes

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]