A Series Method for Solving Nonlinear Two-Point Boundary Value Problems.
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D.M. Greig, M.A. Abd-el-Naby (1980)
Numerische Mathematik
William Norrie Everitt, S. D. Wray (1982)
Czechoslovak Mathematical Journal
Lucas Jódar Sánchez (1986)
Stochastica
By means of the reduction of boundary value problems to algebraic ones, conditions for the existence of solutions and explicit expressions of them are obtained. These boundary value problems are related to the second order operator differential equation X(2) + A1X(1) + A0X = 0, and X(1) = A + BX + XC. For the finite-dimensional case, computable expressions of the solutions are given.
B. Stanković (2006)
Publications de l'Institut Mathématique
Carlos Conca (1984)
Numerische Mathematik
Tadeusz Jankowski (2003)
Czechoslovak Mathematical Journal
We use the method of quasilinearization to boundary value problems of ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
K. Orlov (1979)
Matematički Vesnik
Urszula Sztaba (2000)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Malkhaz Ashordia (1996)
Czechoslovak Mathematical Journal
B. Vrdoljak (1980)
Matematički Vesnik
Baruah, Pallav Kumar, Venkatesulu, M. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Štefan Schwabik (1980)
Časopis pro pěstování matematiky
Zdzisław Dzedzej (2012)
Open Mathematics
An equivariant degree is defined for equivariant completely continuous multivalued vector fields with compact convex values. Then it is applied to obtain a result on existence of solutions to a second order BVP for differential inclusions carrying some symmetries.
A. R. Aftabizadeh, Joseph Wiener (1986)
Rendiconti del Seminario Matematico della Università di Padova
Ravi P. Agarwal (1991)
Annales Polonici Mathematici
Svatopluk Fučík, Jaroslav Milota (1975)
Commentationes Mathematicae Universitatis Carolinae
Tadeusz Jankowski (2004)
Czechoslovak Mathematical Journal
We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
Groza, Ghiocel, Pop, Nicolae (2011)
International Journal of Mathematics and Mathematical Sciences
Anita Dąbrowicz-Tlałka, Tadeusz Jankowski (2000)
Applications of Mathematics
The method of quasilinearization is a procedure for obtaining approximate solutions of differential equations. In this paper, this technique is applied to a differential-algebraic problem. Under some natural assumptions, monotone sequences converge quadratically to a unique solution of our problem.
Tello, J. Ignacio (2007)
Proceedings of Equadiff 11
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