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Generalized Cauchy problems involving nonlocal and impulsive conditions

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Abstract

We study the abstract Cauchy problem involving a class of nonlinear differential inclusions, with impulsive and nonlocal conditions. By using MNC estimates, the existence result and continuous dependence on initial data of the solution set are proved.

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Correspondence to Tran Dinh Ke.

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This work was supported by Vietnam’s National Foundation for Science and Technology Development (NAFOSTED), Project No. 101.01.07.09.

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Chuong, N.M., Ke, T.D. Generalized Cauchy problems involving nonlocal and impulsive conditions. J. Evol. Equ. 12, 367–392 (2012). https://doi.org/10.1007/s00028-012-0136-4

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