Sentence examples for systems of first from inspiring English sources

It is inspired by a notion introduced in [11] for systems of first order differential inclusions.

Multiplicity results are obtained for systems of first order dynamic inclusions on time scales with the periodic boundary condition.

To this aim, they extended the notion of solution-tube to systems of first order dynamic inclusions on time scales.

Existence results for systems of first order dynamic inclusions were obtained in [7, 8] for the initial value problem (that is, problem (1.1) with (n >1), F multi-valued, and the periodic boundary condition replaced by (x(a) = x_{0})).

Numerical solutions have been obtained using standard library subroutines for integrating systems of first order equations, having transformed the two describing second order non-linear differential equations into suitable first order initial value form.

The Campbell-Baker-Hausdorff-Dynkin formula is a special case of a simpler and more general formula for the solution of nonautonomous systems of first order ordinary differential equations in terms of autonomous systems.

Two-dimensional systems of first-order equations have several real-life applications in engineering.

The proposed method is also available for solving systems of first-order ODEs.

Equations (39 - 40 39 - 40stems of first-order nonlinearedifferential equationsystems

Consider the class of planar systems of first-order rational difference equations.

Difference schemes for two-point boundary value problems for systems of first-order nonlinear ordinary differential equations are considered.