In: Tatra Mountains Mathematical Publications, vol. 71, no. 1
Alexander Domoshnitsky - Vladimir Raichik
Detaily:
Rok, strany: 2019, 65 - 70
Jazyk: eng
Kľúčové slová:
delay differential equations, Sturm separation theorem, Wronskian
Typ článku: Mathematics
O článku:
Wronskian is one of the classical objects in the theory of ordinary differential equations.
Properties of Wronskian lead to important conclusions on behaviour
of solutions of delay equations.
For instance, non-vanishing Wronskian ensures validity of the Sturm separation theorem (between two adjacent zeros of any solution there is one
and only one zero of every other nontrivial linearly independent solution) for delay equations.
We propose the Sturm separation theorem in the case of impulsive delay differential equations and obtain assertions about its validity.
Ako citovať:
ISO 690:
Domoshnitsky, A., Raichik, V. 2019. The Sturm separation theorem for impulsive delay differential equations. In Tatra Mountains Mathematical Publications, vol. 71, no.1, pp. 65-70. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0006
APA:
Domoshnitsky, A., Raichik, V. (2019). The Sturm separation theorem for impulsive delay differential equations. Tatra Mountains Mathematical Publications, 71(1), 65-70. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0006
O vydaní:
Vydavateľ: MÚ SAV
Publikované: 2. 1. 2019