Marshal Anthoni, S., Kim, J.-H., Dauer, J.P. (2004)
International Journal of Mathematics and Mathematical Sciences
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Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Purnaras, I.K. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Donal O'Regan (1995)
Annales Polonici Mathematici
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The Schauder-Tikhonov theorem in locally convex topological spaces and an extension of Krasnosel’skiĭ’s fixed point theorem due to Nashed and Wong are used to establish existence of and C solutions to Volterra and Hammerstein integral equations in Banach spaces.
Benchohra, M., Gatsori, E., Ntouyas, S.K. (2004)
Abstract and Applied Analysis
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Jiří Šremr (2007)
Mathematica Bohemica
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We establish new efficient conditions sufficient for the unique solvability of the initial value problem for two-dimensional systems of linear functional differential equations with monotone operators.
Svatoslav Staněk (1995)
Annales Polonici Mathematici
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The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Tadeusz Jankowski (2002)
Czechoslovak Mathematical Journal
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The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we apply this technique to functional differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.
Berroug, Tarik (2010)
Applied Mathematics E-Notes [electronic only]
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Islam, M., Neugebauer, J.T. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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