Geodesic
Analytic solutions to nonlocal abstract equations
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 1, pp. 181-198
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In this paper we study the problem of existence of global solutions for some classes of abstract equations, that generalize some type of Klein-Gordon equations, with nonlinear nonlocal terms of Kirchhoff type. We find some conditions that guarantee the existence of such solutions whether in presence or in absence of a conserved energy. 
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     author = {Ghisi, Marina},
     title = {Analytic solutions to nonlocal abstract equations},
     journal = {Bollettino della Unione matematica italiana},
     pages = {181--198},
     year = {2003},
     volume = {Ser. 8, 6B},
     number = {1},
     zbl = {1177.81035},
     mrnumber = {MR1955704},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_1_a10/}
}
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Ghisi, Marina. Analytic solutions to nonlocal abstract equations. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 1, pp. 181-198. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_1_a10/