A Note on Stability of an Operator Linear Equation of the Second Order | Zendy

Janusz Brzdęk | Zendy; ‎Soon-Mo Jung | Zendy

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A Note on Stability of an Operator Linear Equation of the Second Order

Author(s) -

Janusz Brzdęk,

‎Soon-Mo Jung

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/602713

Subject(s) - mathematics , operator (biology) , linear differential equation , fibonacci number , stability (learning theory) , differential equation , linear map , mathematical analysis , homogeneous differential equation , linear stability , order (exchange) , fixed point , nonlinear system , pure mathematics , discrete mathematics , ordinary differential equation , computer science , physics , repressor , chemistry , biochemistry , machine learning , transcription factor , differential algebraic equation , finance , economics , gene , quantum mechanics

We prove some Hyers-Ulam stability results for an operator linear equation of the second order that is patterned on the difference equation, which defines the Lucas sequences (and in particular the Fibonacci numbers). In this way, we obtain several results on stability of some linear functional and differential and integral equations of the second order and some fixed point results for a particular (not necessarily linear) operator

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