Linear difference operators in the space of strictly monotonic functions

In: Tatra Mountains Mathematical Publications, vol. 38, no. 4

Jitka Laitochová

Detaily:

Rok, strany: 2007, 111 - 121

Kľúčové slová:

first order linear functional equation, first order linear difference equation, space of continuous strictly monotonic functions, group multiplication, difference operator, sum operator

Full text

O článku:

The classical theory of first-order linear functional and difference equations is obtained as a special case of the theory developed here for the functional equation model $fcircφ-Af=B$. The setting is a special space $S$ of continuous strictly monotonic functions, where $circ$ is a group multiplication defined on $S$. Iterative solution formulas are given in the two cases when $A$, $B$ are constant and when $A$, $B$ depend on $x$.

Ako citovať:

ISO 690:

Laitochová, J. 2007. Linear difference operators in the space of strictly monotonic functions. In Tatra Mountains Mathematical Publications, vol. 38, no.4, pp. 111-121. 1210-3195.

APA:

Laitochová, J. (2007). Linear difference operators in the space of strictly monotonic functions. Tatra Mountains Mathematical Publications, 38(4), 111-121. 1210-3195.