Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations. Issue 4 (14th December 2004)

• Record Type: Journal Article
• Authors: Cabada, Alberto; Vivero, Dolores R.
• Is Part Of: Advances in difference equations. Volume 2004:Issue 4(2004)
• Page Start: 291
• Page End: 310
• Publication Date: 2004-12-14
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/S1687183904310022
• Languages: English
• ISSNs: 1687-1847

Abstract

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