Hyers-Ulam stability of a general linear partial differential equation

Author:

Ciplea Sorina Anamaria,Lungu Nicolaie,Marian Daniela,Rassias Themistocles M.

Abstract

AbstractIn this paper we will study Hyers-Ulam stability for a general linear partial differential equation of first order in a Banach space.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Reference16 articles.

1. Brzdek, J., Popa, D., Rasa, I., Xu, B.: Ulam Stability of Operators, Elsevier, (2018)

2. Jung, S.-M.: Hyers-Ulam stability of linear partial differential equations of first order. Appl. Math. Lett. 22, 70–74 (2009)

3. Jung, S.-M., Lee, K.-S.: Hyers-Ulam stability of first order linear partial differential equations with constant coefficients. Math. Inequal. Appl. 10(2), 261–266 (2007)

4. Jung, S.-M., Kim, B., Rassias, Th.M.: On the Hyers-Ulam stability of a system of Euler differential equations of first order. Tamsui Oxf. J. Math. Sci. 24(4), 381–388 (2008)

5. Jung, S.-M., Rassias, Th.M.: Ulam’s problem for approximate homomorphisms in connection with Bernoulli’s differential equation. Appl. Math. Comput. 187(1), 223–227 (2007)

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