Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The aim of the paper is to prove theorems on the existence and uniqueness of mild and classical solutions of a semilinear evolution second order equation together with nonlocal conditions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
75--82
Opis fizyczny
Bibliogr. 4 poz.
Twórcy
autor
autor
- Krakow University of Technology Institute of Mathematics ul. Warszawska 24, 31-155 Krakow, Poland, lbyszews@pk.edu.pl
Bibliografia
- [1] J. Bochenek, An abstract nonlinear second order differential equation, Ann. Polon. Math. 54 (1991) 2, 155–166.
- [2] J. Bochenek, T. Winiarska, Second order evolution equations with parameter, Ann. Polon. Math. 59 (1994) 1, 41–52.
- [3] L. Byszewski, On some application of the Bochenek theorem, Univ. Iagel. Acta Math. 45 (2007), 147–153.
- [4] C.C. Travis, G.F. Webb, Cosine family and abstract nonlinear second order differential equations, Acta Math. Hungar. 32 (1978), 75–96.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0007-0006