Hyers–Ulam Stability for Differential Equations and Partial Differential Equations via Gronwall Lemma

Sorina Anamaria Ciplea (), Daniela Marian (), Nicolaie Lungu () and Themistocles M. Rassias ()
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Sorina Anamaria Ciplea: Technical University of Cluj-Napoca, Department of Management and Technology
Daniela Marian: Technical University of Cluj-Napoca, Department of Mathematics
Nicolaie Lungu: Technical University of Cluj-Napoca, Department of Mathematics
Themistocles M. Rassias: National Technical University of Athens, Department of Mathematics

A chapter in Approximation Theory and Analytic Inequalities, 2021, pp 59-69 from Springer

Abstract: Abstract In this paper, we will study Hyers–Ulam stability for Bernoulli differential equations, Riccati differential equations, and quasi-linear partial differential equations of first order, using Gronwall Lemma, following a method given by Rus.

Keywords: Hyers–Ulam stability; Hyers–Ulam–Rassias stability; Gronwall lemma; 26D10; 34A40; 39B82; 35B20 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-60622-0_5

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DOI: 10.1007/978-3-030-60622-0_5

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