Opuscula Mathematica
Opuscula Math. 32, no. 1 (), 75-82
Opuscula Mathematica

An abstract nonlocal second order evolution problem

Abstract. 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.
Keywords: nonlocal, second order, evolution problem, Banach space.
Mathematics Subject Classification: 34K30, 34K99.
Cite this article as:
Ludwik Byszewski, Teresa Winiarska, An abstract nonlocal second order evolution problem, Opuscula Math. 32, no. 1 (2012), 75-82, http://dx.doi.org/10.7494/OpMath.2012.32.1.75
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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