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

Juan J. Nieto | Zendy; Rosana RodríguezLópez | Zendy

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

Author(s) -

Juan J. Nieto,

Rosana RodríguezLópez

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/851691

Subject(s) - mathematics , uniqueness , piecewise , constant (computer programming) , mathematical analysis , boundary value problem , constant function , class (philosophy) , function (biology) , constant coefficients , differential equation , homogeneous , state (computer science) , combinatorics , algorithm , artificial intelligence , evolutionary biology , computer science , biology , programming language

We provide optimal conditions for the existence and uniqueness ofsolutions to a nonlocal boundary value problem for a class of linearhomogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions includeterms of the state function and the derivative of the state function. Asimilar nonhomogeneous problem is also discussed

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