Sentence examples for more general equation from inspiring English sources

where c = [ N ( N - 2 ) d ] 1 2 with d > 0 and x ̄ ∈ ℝ N. Recently, Wei and Xu [35] generalized this result to the solutions of the more general Equation (1.9) with α being any even number between 0 and N. Apparently, for other real values of α between 0 and N, (1.9) is also of practical interest and importance.

This case is represented with the more general Equation (7).

We now consider the more general equation (4).

This relation is a special form of a more general equation derivable from transition state theory.

A more general equation with f depending on derivatives was studied in [24].

Our purpose is studying the more general equation (1.1) under the more weaker conditions.

Some of them generalized Pohozaev's results to the more general equations, such as quasi-linear elliptic, polyharmonic equations, fractional differential equations.

Its application to more general equations is also discussed.

More general equations and systems involving periodic boundary conditions have also been considered.

In this paper more general equations for both particle and overall effectiveness factors are derived.

In this paper, we investigate the existence of transcendental meromorphic solutions of order zero of some nonlinear q-difference equations and some more general equations.