Existence theorems for discrete boundary problems
F. H. Szafraniec (1968)
Annales Polonici Mathematici
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F. H. Szafraniec (1968)
Annales Polonici Mathematici
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Agarwal, Ravi P., O'Regan, Donal (2000)
Memoirs on Differential Equations and Mathematical Physics
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Ashordia, M. (1995)
Memoirs on Differential Equations and Mathematical Physics
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A. Lasota (1975)
Annales Polonici Mathematici
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Pavel Drábek, Harold Bevan Thompson, Christopher Tisdell (2001)
Commentationes Mathematicae Universitatis Carolinae
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In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems.
Ashordia, Malkhaz (1995)
Memoirs on Differential Equations and Mathematical Physics
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D. D. Bainov (1970)
Matematički Vesnik
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M. Greguš (1974)
Annales Polonici Mathematici
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A. Lasota, Z. Opial (1967)
Colloquium Mathematicae
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Agarwal, Ravi P., Nanda, Tara R. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Józef Wenety Myjak (1973)
Annales Polonici Mathematici
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Malkhaz Ashordia (2021)
Mathematica Bohemica
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We consider the numerical solvability of the general linear boundary value problem for the systems of linear ordinary differential equations. Along with the continuous boundary value problem we consider the sequence of the general discrete boundary value problems, i.e. the corresponding general difference schemes. We establish the effective necessary and sufficient (and effective sufficient) conditions for the convergence of the schemes. Moreover, we consider the stability of the solutions...