2019
Том 71
№ 9

All Issues

On a comparison method for pulse systems in the space $R^n$

Akhmetov M. U., Perestyuk N. A.

Full text (.pdf)


Abstract

A method for the study of differential equations with pulse influence on the surfaces, which was realized in [1] for a bounded domain in the phase space, is now extended to the entire space $R^n$. We prove theorems on the existence of integral surfaces in the critical case and justify the reduction principle for these equations.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 6, pp 826-836.

Citation Example: Akhmetov M. U., Perestyuk N. A. On a comparison method for pulse systems in the space $R^n$ // Ukr. Mat. Zh. - 1993. - 45, № 6. - pp. 753–762.

Full text