Chesalin, V. I. Ein Problem mit nichtlokalen Randbedingungen für gewisse abstrakte hyperbolische Gleichungen. (Russian) Zbl 0422.35075 Differ. Uravn. 15, 2104-2106 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 9 Documents MSC: 35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) 35L20 Initial-boundary value problems for second-order hyperbolic equations 35R15 PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) 35L35 Initial-boundary value problems for higher-order hyperbolic equations 47F05 General theory of partial differential operators 35A05 General existence and uniqueness theorems (PDE) (MSC2000) Keywords:abstract hyperbolic equation; existence and uniqueness of solution; positive self-adjoint operators PDFBibTeX XMLCite \textit{V. I. Chesalin}, Differ. Uravn. 15, 2104--2106 (1979; Zbl 0422.35075)