Ulam-Hyers stability of Black-Scholes equation

Dedicated to Professor Ioan A. Rus on the occasion of his 80th anniversary

Authors

  • Nicolaie LUNGU Technical University of Cluj-Napoca Department of Mathematics 28 Memorandumului Street 400114 Cluj-Napoca, Romania e-mail: nlungu@math.utcluj.ro
  • Sorina Anamaria CIPLEA Technical University of Cluj-Napoca Department of Management and Technology 28 Memorandumului Street 400114 Cluj-Napoca, Romania e-mail: sorina.ciplea@cem.utcluj.ro

Keywords:

Black-Scholes equation, Ulam-Hyers stability, generalized Ulam-Hyers stability, derivative financial product, Green function.

Abstract

The goal of this paper is to give a Ulam-Hyers stability result for Black-Scholes equation, in which the unknown function is the price of a derivative financial product. Our approach is based on Green function.

Mathematics Subject Classification (2010): 35L70, 45H10, 47H10.

References

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Published

2016-12-30

How to Cite

LUNGU, N., & CIPLEA, S. A. (2016). Ulam-Hyers stability of Black-Scholes equation: Dedicated to Professor Ioan A. Rus on the occasion of his 80th anniversary. Studia Universitatis Babeș-Bolyai Mathematica, 61(4), 467–472. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5638

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