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  • Research Article
  • Open Access

Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations

Advances in Difference Equations20042004:438603

https://doi.org/10.1155/S1687183904310022

  • Received: 8 October 2003
  • Published:

Abstract

We prove existence and uniqueness results in the presence of coupled lower and upper solutions for the general n th problem in time scales with linear dependence on the i th Δ-derivatives for i = 1,2,…,n, together with antiperiodic boundary value conditions. Here the nonlinear right-hand side of the equation is defined by a function f(t,x) which is rd-continuous in t and continuous in x uniformly in t. To do that, we obtain the expression of the Green's function of a related linear operator in the space of the antiperiodic functions.

Authors’ Affiliations

(1)
Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Galicia, Santiago de Compostela, 15782, Spain

Copyright

© Cabada and Vivero 2004

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