Regional topology and approximative solutions of difference and differential equations

In: Tatra Mountains Mathematical Publications, vol. 63, no. 2

Janusz Migda

Detaily:

Rok, strany: 2015, 183 - 203

Kľúčové slová:

regional topology, difference equation, differential equation, remainder operator, approximative solution, prescribed asymptotic behavior, Schauder's theorem, Ascoli's theorem

O článku:

We introduce a topology, which we call the regional topology, on the space of all real functions on a given locally compact metric space. Next we obtain a new versions of Schauder's fixed point theorem and Ascoli's theorem. We use these theorems and the properties of the iterated remainder operator to establish conditions under which there exist solutions, with prescribed asymptotic behaviour, of some difference and differential equations.

Ako citovať:

ISO 690:

Migda, J. 2015. Regional topology and approximative solutions of difference and differential equations. In Tatra Mountains Mathematical Publications, vol. 63, no.2, pp. 183-203. 1210-3195.

APA:

Migda, J. (2015). Regional topology and approximative solutions of difference and differential equations. Tatra Mountains Mathematical Publications, 63(2), 183-203. 1210-3195.