Sentence examples for higher order equation from inspiring English sources

Some authors use a different terminology--the system or higher order equation is almost oscillatory, or strongly oscillatory[11].

Among these extensions, Levin [3] and Das and Vatsala [4] extended the result for higher order equation (1.12).

In this paper, given f : [ a, b ] × ( C ( [ a, b ] ) ) n − 2 × R 2 → R a L 1 -Carathéodory function, it is considered the functional higher order equation.

Further research is carried out for even higher order equations investigating qualitative results.

However, there are very few results regarding the oscillation of higher order equations.

The higher order equations of type (1) have been studied in [11 13].

This paper is motivated by several recent studies [14 26] of such higher order equations.

Hamilton's principle is employed to derive the corresponding higher order equations of motion for both nanotubes.

In [4], the authors presented a variational approach to the eigenvalue problem for higher order equations with multipoint boundary conditions.

We study the generalized Keldys-Fichera boundary value problem for a class of higher order equations with nonnegative characteristic.

However, most of the obtained results are concerned with second-order dynamic equations whereas for higher order equations results are very seldom.