
doi: 10.3934/math.2024232
handle: 20.500.12491/13680
<abstract><p>In this paper, new Sturmian comparison results were obtained for linear and nonlinear hyperbolic equations on a rectangular prism. The results obtained for linear equations extended those given by Kreith [Sturmian theorems on hyperbolic equations, <italic>Proc. Amer. Math. Soc.</italic>, <bold>22</bold> (1969), 277-281] in which the Sturmian comparison theorem for linear equations was obtained on a rectangular region in the plane. For the purpose of verification, an application was described using an eigenvalue problem.</p></abstract>
sturm comparison, hyperbolic equation, Sturm comparison, QA1-939, eigenvalue problem, hyperrectangle, oscillation, rectangular prism, Mathematics
sturm comparison, hyperbolic equation, Sturm comparison, QA1-939, eigenvalue problem, hyperrectangle, oscillation, rectangular prism, Mathematics
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