Open AccessWeighted space method for the stability of some nonlinear equations
Author(s) -
Liviu Cădariu,
Laura Găvruţa,
P. Găvruţa
Publication year - 2012
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm120309007c
Subject(s) - mathematics , stability (learning theory) , mathematical proof , functional equation , nonlinear system , space (punctuation) , variable (mathematics) , mathematical analysis , integral equation , differential equation , computer science , physics , geometry , quantum mechanics , machine learning , operating system
We prove the stability of some equations of a single variable, including a nonlinear functional equation, a linear functional equation as well as a Volterra integral equation, by using the weighted space method. Our results generalize and extend some recent theorems given in this field, with simplified proofs. Several direct applications of these results are also obtained