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The Riemann function for one equation in an n-dimensional spaceWe construct the explicit Riemann function for a special partial differential equation with leading

Laplace invariants for a fourth-order equation with two independent variablesWe construct the Laplace invariants for an equation with the leading partial derivative. We write

The Riemann function for one equation in an n-dimensional spaceWe construct the explicit Riemann function for a special partial differential equation with leading

On the construction of the Riemann function for an equation with leading fifth partial derivativeFor an equation with four independent variables, we suggest conditions on the coefficients under

Laplace invariants for a fourth-order equation with two independent variablesWe construct the Laplace invariants for an equation with the leading partial derivative. We write

The Riemann method for equations with leading partial derivative in ℝ n with variable coefficients with leading partial derivative. © 2006 Springer Science+Business Media, Inc.

On the construction of the Riemann function for an equation with leading fifth partial derivativeFor an equation with four independent variables, we suggest conditions on the coefficients under

The Riemann method for equations with leading partial derivative in ℝ n with variable coefficients with leading partial derivative. © 2006 Springer Science+Business Media, Inc.

Factorization of equations with dominating higher partial derivative partial derivatives and illustrate the possibility of using our results by examples of two forms

Constructing dynamical equations of constrained systemsConstructing dynamical equations of constrained systems can lead to the determining of the Lagrange

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