Study of solutions to some functional differential equations with piecewise constant arguments

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ISSN: 1085-3375
E-ISSN: 1687-0409

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We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include terms of the state function and the derivative of the state function. A similar nonhomogeneous problem is also discussed

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Nieto, Juan J., Rodrıguez-López, Rosana. (2012). Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments. "Abstract and Applied Analysis", vol. 2012

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This research is partially supported by Ministerio de Ciencia e Innovacion and FEDER, Project MTM2010-15314

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Copyright © 2012 Juan J. Nieto and Rosana Rodríguez-López. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited