An abstract nonlocal second order evolution problem

• Autorzy: Byszewski L. , Winiarska T.
• Języki publikacji: EN

Abstrakty

EN

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

EN

nonlocal; second order; evolution problem; Banach space

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 1
• Strony: 75--82
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Byszewski L.

autor

Winiarska T.

• Krakow University of Technology Institute of Mathematics ul. Warszawska 24, 31-155 Krakow, Poland,

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.