The Picard boundary value problem for nonlinear second order vector differential equations

Fabry, Christian;Habets, Patrick
(1981) Journal of Differential Equations — Vol. 42, n° 2, p. 186-198 (1981)

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  • Fabry, ChristianUCLouvain
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  • Habets, PatrickUCLouvain
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Abstract
The existence of solutions is studied for the Picard boundary value problem /b x/"+/b f/(/b t/,/b x/,/b x/')=0, /b x/(/b a/)=/b x/(/b b/)=0, where /b b/>/b a/ and /b f/:[/b a/,/b b/]*/b R//sup n/*/b R/ /sup n/ rarr /b R//sup n/ is a continuous function.
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Fabry, C., & Habets, P. (1981). The Picard boundary value problem for nonlinear second order vector differential equations. Journal of Differential Equations, 42(2), 186-198. https://hdl.handle.net/2078.5/149027 (Original work published 1981)