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An abstract nonlocal functional-differential second order evolution problem


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[1] Balachandran K., Ilamaran S., Existence and uniqueness of mild and strong solutions of a semilinear evolution equation with nonlocal conditions, Indian J. Pure Appl. Math. 25.4, 1994, 411–418.Search in Google Scholar

[2] Bochenek J., An abstract nonlinear second order differential equation, Ann. Polon. Math. 54.2, 1991, 155–166.10.4064/ap-54-2-155-166Search in Google Scholar

[3] Bochenek J., Cosine operator functions and condition (F), Selected Problems of Mathematics, Cracow University of Technology Monographs, Anniversary Issue 6, 1995, 13–24.Search in Google Scholar

[4] Bochenek J., Winiarska T., Second order evolution equations with parameter, Ann. Polon. Math. 59.1, 1994, 41–52.10.4064/ap-59-1-41-52Search in Google Scholar

[5] Byszewski L., On some application of the Bochenek theorem, Univ. Iagel. Acta. Math. 45, 2007, 147–153.Search in Google Scholar

[6] Byszewski L., Winiarska T., An abstract nonlocal second order evolution problem, Opuscula Mathematica 32.1, 2012, 75–82.10.7494/OpMath.2012.32.1.75Search in Google Scholar

[7] Fattorini H.O., Ordinary differential equation in linear topological spaces, J. Differential Equations 5, 1968, 72–105.10.1016/0022-0396(69)90105-3Search in Google Scholar

[8] Nagy B., Cosine operator functions and the abstract Cauchy problem, Periodica Math. Hungary 7, 1976, 213–217.10.1007/BF02017937Search in Google Scholar

[9] Travis C.C., Webb G.F., Cosine family and abstract nonlinear second order differential equations, Acta Math. Hungar. 32, 1978, 75–96.10.1007/BF01902205Search in Google Scholar