An abstract nonlocal functional-differential second order evolution Cauchy problem
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RIS BIB ENDNOTEAn abstract nonlocal functional-differential second order evolution Cauchy problem
Publication date: 27.04.2018
Technical Transactions, 2018, Volume 4 Year 2018 (115), pp. 139-147
https://doi.org/10.4467/2353737XCT.18.062.8374Authors
An abstract nonlocal functional-differential second order evolution Cauchy problem
[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.
[2] Bednarz A., Byszewski L., On abstract nonlocal Cauchy problem, Technical Transactions, 1-NP/2013, 11–17.
[3] Bochenek J., An abstract nonlinear second order differential equation, Ann. Polon. Math. 54.2, 1991, 155–166.
[4] Bochenek J., Cosine operator functions and condition (F), Selected Problems of Mathematics, Cracow University of Technology Monographs, Anniversary Issue 6, 1995, 13–24.
[5] Bochenek J., Winiarska T., Second order evolution equations with parameter, Ann. Polon. Math. 59.1, 1994, 41–52.
[6] Byszewski L., On some application of the Bochenek theorem, Univ. Iagel. Acta. Math. 45, 2007, 147–153.
[7] Byszewski L., An abstract nonlocal functional-differential second order evolution problem, Technical Transactions 1/2017, 147–154.
[8] Byszewski L., Winiarska T., An abstract nonlocal second order evolution problem, Opuscula Mathematica 32.1, 2012, 75–82.
[9] Cholewa J.W., Dłotko T., Global Attractors in Abstract Parabolic Problems, London Mathematical Society Lecture Notes, Series 278, Cambridge University Press, Cambridge 2000.
[10] Fattorini H. O., Ordinary differential equation in linear topological spaces, J. Differential Equations 5, 1968, 72–105.
[11] Nagy B., Cosine operator functions and the abstract Cauchy problem, Periodica Math. Hungary 7, 1976, 213–217.
[12] Travis C.C., Webb G.F., Cosine family and abstract nonlinear second order differential equations, Acta Math. Hungar. 32, 1978, 75–96.
Information: Technical Transactions, 2018, Volume 4 Year 2018 (115), pp. 139-147
Article type: Original article
Titles:
An abstract nonlocal functional-differential second order evolution Cauchy problem
An abstract nonlocal functional-differential second order evolution Cauchy problem
Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
Published at: 27.04.2018
Article status: Open
Licence: None
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