Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments

Juan J. Nieto and Rosana Rodríguez-López

Abstract and Applied Analysis, 2012, vol. 2012, 1-25

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:851691

DOI: 10.1155/2012/851691

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