학술저널
STABILITY OF FUNCTIONAL EQUATIONS WITH RESPECT TO BOUNDED DISTRIBUTIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 3
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2008.09361 - 370 (10 pages)
- 0
We consider the Hyers-Ulam type stability of the Cauchy, Jensen, Pexider, Pexider-Jensen differences:(0.1) C(u) :=u A − u P1 − u P2,J(u) :=2u A2(0.2) − u P1 − u P2,(0.3) P(u, v,w) :=u A − v P1 − w P2,JP(u, v,w) :=2u A2(0.4) − v P1 − w P2,with respect to bounded distributions.
1. Introduction
2. The heat kernel method in distributions and hyperfunc-tions
3. Main theorems
Acknowledgment.
References
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