Solvability of boundary value problems for the inclusion \(u_{tt}- u_{xx}\in g(t,x,u)\) via the theory of multivalued A-proper maps

DOI10.4171/ZAA/310zbMath0681.47025OpenAlexW2563969659MaRDI QIDQ1823444

Wiesław Krawcewicz, Tomasz Kaczynski

Publication date: 1988

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/310

zbMATH Keywords

wave equation boundary value problem multivalued map existence of a coincidence point monotone demi-continuous map weakly A-proper

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25)

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