Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on second order linear functional equations in random normed
  spaces   In this paper, we apply the publication of Joung (2009) to derive a stability
result for for the second order linear functional equation: $f(x) =
pf(x-1)-qf(x-2)$ for all $x\in\mathbb R$, where $f$ is a mapping from $\mathbb
R$ into the induced random space of any Banach space. By relaxing the lower
bound assumption, we also generalize the result of Jung (2009) on arbitrary
random normed spaces with the minimum $t$-norm. However, we need the
monotonicity of the distribution in the lower bound assumption. By the
properties of normal distributions, our main result can be applied.

17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th