Benchohra, MouffakNieto Roig, Juan JoséRezoug, Noreddine2018-10-222018-10-222017Benchohra, M., Nieto, J. & Rezoug, N. (2017). Second order evolution equations with nonlocal conditions. Demonstratio Mathematica, 50(1), pp. 309-319. doi:10.1515/dema-2017-0029http://hdl.handle.net/10347/17586In this paper, we shall establish su cient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces. Our approach is based on the concepts of Hausdorff measure, noncompactness and Tikhonoff’s fixed point theorem. We give an example for illustration.eng© 2017 Mouffak Benchohra et al. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Licensehttp://creativecommons.org/licenses/by-nc-nd/4.0/Second order diferential equationsMild solutionEvolution systemFréchet spaceNonlocal conditionHausdorff’s measures of noncompactnessjournal article10.1515/dema-2017-00292391-4661open access