Hyers–ulam–rassias stability for a class of nonlinear volterra integral equations

Banach Journal of Mathematical Analysis

Volumn 3, Issue 1, 2009, Pages 36-43

  Castro, L P ^a   Ramos, A ^a  

^a UNIVERSITY OF AVEIRO   (Portugal)

Author keywords

Fixed point; Ulam Rassias stability; Volterra integral equation

Indexed keywords

EID: 65549156647     PISSN: 17358787     EISSN: None     Source Type: Journal    
DOI: 10.15352/bjma/1240336421     Document Type: Article

References (8)

1. T.A. Burton, Volterra Integral and Differential Equations (2nd ed.), Mathematics in Science and Engineering 202, Elsevier, Amsterdam, 2005.
2. C. Corduneanu, Principles of Differential and Integral Equations (2nd ed.), Chelsea, New York, 1988.
3. G. Gripenberg, S.-O. Londen and O. Staffans, Volterra Integral and Functional Equations, Cambridge University Press, Cambridge, 1990.
4. D.H. Hyers, G. Isac and Th.M. Rassias, Stability of Functional Equations in Several Variables, Progress in Nonlinear Differential Equations and their Applications 34, Birkhäuser, Boston, 1998.
5. S.-M. Jung, A fixed point approach to the stability of a Volterra integral equation, Fixed Point Theory Appl., 2007, Article ID 57064, 9 p.
6. V. Lakshmikantham and M.R.M. Rao, Theory of Integro-differential Equations, Stability and Control: Theory, Methods and Applications 1, Gordon and Breach Publ., Philadelphia, 1995.
7. Th.M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297–300.
8. S.M. Ulam, A Collection of Mathematical Problems, Interscience Tracts in Pure and Applied Mathematics 8, Interscience Publishers, New York, 1960.