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On the existence and uniqueness of solutions to boundary value problems on time scales

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This work formulates existence, uniqueness, and uniqueness-implies-existence theorems for solutions to two-point vector boundary value problems on time scales. The methods used include maximum principles, a priori bounds on solutions, and the nonlinear alternative of Leray-Schauder.

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Correspondence to Johnny Henderson.

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Henderson, J., Peterson, A. & Tisdell, C.C. On the existence and uniqueness of solutions to boundary value problems on time scales. Adv Differ Equ 2004, 146482 (2004). https://doi.org/10.1155/S1687183904308071

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