Two-sided approximation of solutions of boundary-value problems

Ukrainian Mathematical Journal

Volumn 57, Issue 2, 2005, Pages 340-345

  Shuvar, B A ^a   Mentyns'Kyi, S M ^a  

^a LVIV POLYTECHNIC NATIONAL UNIVERSITY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 25144447852     PISSN: 00415995     EISSN: 15739376     Source Type: Journal    
DOI: 10.1007/s11253-005-0194-7     Document Type: Article

References (10)

1. M. S. Kurpel', "On some modifications of the Chaplygin method for approximate integration of differential equations," Dopov. Akad. Nauk Ukr. SSR, Ser. A, No. 4, 303-306 (1969).
2. N. S. Kurpel' and B. A. Shuvar, Two-Sided Operator Inequalities and Their Applications [in Russian], Naukova Dumka, Kiev (1980).
3. B. A. Shuvar, "Two-sided iteration methods for the solution of nonlinear equations in semiordered spaces," in: Proceedings of the Second Symposium on Methods for the Solution of Nonlinear Equations and Optimization Problems [in Russian], Vol. 1, Institute of Cybernetics, Academy of Sciences of Est. SSR, Tallin (1981), pp. 68-73.
4. A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods in the Theory of Boundary-Value Problems for Ordinary Differential Equations [in Russian], Naukova Dumka, Kiev (1992).
5. M. Rontó and A. M. Samoilenko, Numerical-Analytic Methods in the Theory of Boundary-Value Problems, World Scientific, Singapore (2000).
6. N. S. Kurpel', "On two-sided approximations of periodic solutions of differential equations," in: Proceedings of the Fifth International Conference on Nonlinear Oscillations, Vol. 1, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1970), pp. 119-121.
7. R. I. Sobkovich and B. A. Shuvar, "Two-sided approximations of periodic solutions of systems of differential equations with parameters," in: Nonlinear Dynamical Processes in Physics and Mechanics [in Russian], Naukova Dumka, Kiev (1981), pp. 138-145.
8. R. I. Sobkovich, Two-Sided Method for Investigation of Some Boundary-Value Problems with Parameters [in Russian], Preprint No. 81.52, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1981).
9. L.I. Nesterenko, "On one two-sided method for the solution of a two-point boundary-value problem for a system of ordinary differential equations," Dokl. Akad. Nauk Ukr. SSR, No. 11, 18-21 (1980).
10. P. Volkmann, "Gewöhnliche Differentialgleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorraeumen," Math. Z, 127, No. 2, 157-164 (1972).