Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations.
Rontó, Andrei, Šremr, Jiří (2005)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “On singular solutions of linear functional differential equations with negative coefficients.”
Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations.
Linear functional differential equations possessing solutions with a given growth rate.
Agarwal, Ravi P., Rontó, Andrei (2005)
Journal of Inequalities and Applications [electronic only]
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Existence results for semilinear perturbed functional differential equations with nondensely defined operators.
Belmekki, M., Benchohra, M., Ntouyas, S.K. (2006)
Fixed Point Theory and Applications [electronic only]
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On a class of functional differential equations in Banach spaces.
Lupulescu, V. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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First order integro-differential equations in Banach algebras involving Carathéodory and discontinuous nonlinearities.
Dhage, B.C., Karande, B.D. (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Iterative methods for generalized von Foerster equations with functional dependence.
Leszczyński, Henryk, Zwierkowski, Piotr (2007)
Journal of Inequalities and Applications [electronic only]
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An optimal condition for the uniqueness of a periodic solution for linear functional differential systems.
Mukhigulashvili, S., Grytsay, I. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Solvability conditions of the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators
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.
Functional differential equations
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.