Abstract
We discuss the existence of oscillatory and nonoscillatory solutions for first-order impulsive dynamic equations on time scales with certain restrictions on the points of impulse. We will rely on the nonlinear alternative of Leray-Schauder type combined with a lower and upper solutions method.
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Benchohra, M., Hamani, S. & Henderson, J. Oscillation and nonoscillation for impulsive dynamic equations on certain time scales. Adv Differ Equ 2006, 060860 (2006). https://doi.org/10.1155/ADE/2006/60860
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DOI: https://doi.org/10.1155/ADE/2006/60860