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Zeitschrift für Analysis und ihre Anwendungen

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Volume 37, Issue 4, 2018, pp. 475–494
DOI: 10.4171/ZAA/1624

Published online: 2018-10-18

Positive Solution of Lighthill-Type Equations

Gennadi Vainikko[1]

(1) University of Tartu, Estonia

We study a unique solvability of Volterra integral equations of Lighthill’s type subject to a positive solution on $[0,\infty)$. Also the asymptotics of the solution at the in finity is examined.

Keywords: Nonlinear equations, Volterra equations on semiaxis, positive solution, Lighthill's equation

Vainikko Gennadi: Positive Solution of Lighthill-Type Equations. Z. Anal. Anwend. 37 (2018), 475-494. doi: 10.4171/ZAA/1624