Numerical-analytic successive approximation method for non-linear boundary value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 5, 1997, Pages 3179-3188

  Rontó, Miklós ^a  

^a UNIVERSITY OF MISKOLC   (Hungary)

Author keywords

Boundary value problems; Determining equation; Non autonomous systems; Numerical analytic method; Periodic solutions; Successive approximations

Indexed keywords

EID: 0041544164     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00355-0     Document Type: Article

References (13)

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9. SAMOILENKO A.M. & LAPTINSKIǏ V.N., On estimates for periodic solutions of differential equations, Dokl. Akad. Nauk. Ukr. SSR 1 (1982), 30-32 (in Russian).
10. PERESTYUK N.A. & RONTO A.N., On a method of construction of successive approximations for investigating boundary value problems, Ukrain, Mat. Zh. 47, No. 9, 1243-1253 (1996) (in Russian).
11. KWAPISZ M., On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations, Appl. of Math. 38, 133-144 (1993).
12. SAMOILENKO A.M. & PERESTYUK N.A., "Impulsive Differential Equations," World Scientific Series in Non-linear Science, Series A, vol. 14, Singapore, 1995.
13. RONTÓ M. & TROFIMCHUK S.I., Numerical-analytic method for non-linear differential equations, to appear.