Ulam-Hyers stability for partial differential equations

Lazăr, Vasile Lucian

doi:10.37193/cmi.2012.01.12

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Cited by 3 publications

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“…In this section, we will use Corollary 3.4 to assert the existence of the solution for a Dirichlet problem of non linear partial differential equation, which has been studied by Lazer [23] in complete metric space where he applied theorem of Matkowski [25], also it has been studied on sobolev spaces in paper [7].…”

Section: Applicationmentioning

confidence: 99%

A common fixed point theorem for weakly subsequentially continuous mappings satisfying implicit relation

Said Beloul

2015

Malaya J. Mat.

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In this paper, we prove a common fixed point theorem for two weakly subsequentially continuous and compatible of type (E) for two pairs of self mappings, which satisfying implicit relation in metric spaces, an example is given to illustrate our results, also we give an application to solve a partial differential equations, and the study of its generalized Hyers-Ulam stability, our results improve and extend some previous results.

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Section: Applicationmentioning

confidence: 99%