# On transformations of differential equations and systems with deviating argument

Czechoslovak Mathematical Journal (1981)

- Volume: 31, Issue: 1, page 87-90
- ISSN: 0011-4642

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topNeuman, František. "On transformations of differential equations and systems with deviating argument." Czechoslovak Mathematical Journal 31.1 (1981): 87-90. <http://eudml.org/doc/13242>.

@article{Neuman1981,

author = {Neuman, František},

journal = {Czechoslovak Mathematical Journal},

keywords = {differential equation with constant deviation; transformation of systems of differential equations},

language = {eng},

number = {1},

pages = {87-90},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On transformations of differential equations and systems with deviating argument},

url = {http://eudml.org/doc/13242},

volume = {31},

year = {1981},

}

TY - JOUR

AU - Neuman, František

TI - On transformations of differential equations and systems with deviating argument

JO - Czechoslovak Mathematical Journal

PY - 1981

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 31

IS - 1

SP - 87

EP - 90

LA - eng

KW - differential equation with constant deviation; transformation of systems of differential equations

UR - http://eudml.org/doc/13242

ER -

## References

top- Aczél J., Lectures on Functional Equations and Their Applications, Acad. Press, New York 1966. (1966) MR0208210
- Barvínek E., О rozložení nulových bodů řešení lineární diferenciální rovnice y" = Q(t) y a jejich derivací, Acta Fac. Nat. Univ. Comenian. 5 (1961), 465-474. (1961)
- Borůvka O., One-parameter continuous groups of transformations on line, To appear.
- Choczewski В., On differentiable solutions of a functional equation, Ann. Polon. Math. 13 (1963), 133-138. (1963) MR0153998
- Hale J., Functional Differential Equations, Springer, Berlin 1971. (1971) Zbl0223.34057MR0390425
- Kuczma M., Functional Equations in a Single Variable, PWN, Warszawa 1968. (1968) Zbl0196.16403MR0228862
- Melvin L. H., 10.1016/0022-0396(75)90076-5, J. Diff. Equations 18 (1975), 1-10. (1975) Zbl0318.34069MR0387766DOI10.1016/0022-0396(75)90076-5
- Myškis A. D., Linejnyje Differencial'nyje Uravnenija s Zapazdyvajuscim Argumentom, Nauka, Moskva 1972. (1972)
- Tryhuk V., The most general transformation of homogeneous linear retarded differential equation of the first order, To appear.

## Citations in EuDML Documents

top- Josef Diblík, A criterion for convergence of solutions of homogeneous delay linear differential equations
- František Neuman, Simultaneous solutions of a system of Abel equations and differential equations with several deviations
- Jan Čermák, Asymptotic properties of differential equations with advanced argument
- Jan Čermák, On transformations of functional-differential equations
- Jan Čermák, Asymptotic behaviour of solutions of some linear delay differential equations
- Jan Čermák, On the delay differential equation y'(x) = ay(τ(x)) + by(x)
- Václav Tryhuk, Remark to transformations of linear differential and functional-differential equations
- Josef Diblík, Behaviour of solutions of linear differential equations with delay
- Václav Tryhuk, Effective criterion for the transformation of linear functional-differential equations of first order into canonical form with constant coefficients and deviations
- Oldřich Kopeček, Equation $f\left(p\right(x\left)\right)=q\left(f\right(x\left)\right)$ for given real functions $p$, $q$

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