Sentence examples for basic theorem of impulsive from inspiring English sources

Consequently, impulsive differential equation provides a more natural description of such systems, the basic theorem of impulsive differential equation can be seen in [20].

The basic theorems of intuitionistic analysis — the bar theorem, fan theorem, and continuity theorem — are in "On the Domains of Definition of Functions" of 1927.

Section 2 gives the basic theorems of fractional calculus.

For the introduction of the basic theory of impulsive equations, see [1 4] and the references therein.

Basic theory of impulsive differential equations can be found in the monographs [1 3].

For an introduction of the basic theory of impulsive differential equation, we refer the reader to [4].

For an introduction of the basic theory of impulsive differential equations in (R^{n}), see [19 21] and the references therein.

For an introduction of the basic theory of impulsive differential equations, see Lakshmikantham et al. [1]; for an overview of existing results and of recent research areas of impulsive differential equations, see Benchohra et al. [2].

Also, by the basic theory of impulsive differential equations in [18, 19], we know that x i ( τ k − ) = x i ( τ k ).

[39] Bendixson theorem of impulsive differential equations.

By the comparison theorem of impulsive equation (see [13, Theorem ]), we have and as.