Simultaneous solutions of a system of Abel equations and differential equations with several deviations

František Neuman

Displaying similar documents to “Simultaneous solutions of a system of Abel equations and differential equations with several deviations”

Equivalence and symmetries of first order differential equations

V. Tryhuk (2008)

Czechoslovak Mathematical Journal

Similarity:

In this article, the equivalence and symmetries of underdetermined differential equations and differential equations with deviations of the first order are considered with respect to the pseudogroup of transformations $\bar{x} = ϕ (x),$ $\bar{y} = \bar{y} (\bar{x}) = L (x) y (x) .$ That means, the transformed unknown function $\bar{y}$ is obtained by means of the change of the independent variable and subsequent multiplication by a nonvanishing factor. Instead of the common direct calculations, we use some more advanced tools from differential...

Local regularity results for minima of anisotropic functionals and solutions of anisotropic equations.

Hongya, Gao, Jinjing, Qiao, Yong, Wang, Yuming, Chu (2008)

Journal of Inequalities and Applications [electronic only]

Similarity:

On transformations of differential equations and systems with deviating argument

František Neuman (1981)

Czechoslovak Mathematical Journal

Similarity:

Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two

Giovanna Idone (2004)

Czechoslovak Mathematical Journal

Similarity:

Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order $q > 2$ are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension $n$ is less than or equal to $q + 2$ .