First-order differential equations of the hyperbolic type.
Radoń, Małgorzata (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Radoń, Małgorzata (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Vorob'eva, E.V., Romanovskij, R.K. (2000)
Siberian Mathematical Journal
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Jan Bochenek (1995)
Annales Polonici Mathematici
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This paper is devoted to the investigation of the abstract semilinear initial value problem , in the “hyperbolic” case.
Dinariev, O.Yu. (2000)
Siberian Mathematical Journal
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George A. Anastassiou (2012)
Matematički Vesnik
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Bouziani, A., Merazga, N. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Mironova, Yu.N. (2002)
Sibirskij Matematicheskij Zhurnal
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Pinus, A.G. (2006)
Sibirskij Matematicheskij Zhurnal
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Vinokurov, N.S. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Borodin, O.V., Ivanova, A.O., Neustroeva, T.K. (2004)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Mirotin, A.R. (2002)
Sibirskij Matematicheskij Zhurnal
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Jan Bochenek (1991)
Annales Polonici Mathematici
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By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.
Zhurtov, A.Kh. (2001)
Sibirskij Matematicheskij Zhurnal
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Makoto Ishibashi (1995)
Acta Arithmetica
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Dzhokhadze, O.M. (2002)
Sibirskij Matematicheskij Zhurnal
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