Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations
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Título: | Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations |
Autor/a: | Cabada Fernández, Alberto Rodríguez Vivero, Dolores |
Centro/Departamento: | Universidade de Santiago de Compostela. Departamento de Análise Matemática |
Data: | 2004 |
Editor: | SpringerOpen |
Cita bibliográfica: | Cabada, A., Vivero, D.R. Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations. Adv Differ Equ 2004, 438603 (2004) |
Resumo: | We prove existence and uniqueness results in the presence of coupled lower and upper solutions for the general nth problem in time scales with linear dependence on the ith 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 |
Versión do editor: | https://doi.org/10.1155/S1687183904310022 |
URI: | http://hdl.handle.net/10347/20650 |
DOI: | 10.1155/S1687183904310022 |
ISSN: | 1687-1839 |
E-ISSN: | 1687-1847 |
Dereitos: | © 2004, Os autores. Baixo Licencia Creative Commons Attribution License 4.0 Internacional |
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