We prove the existence and uniqueness of unknown nonlinear terms in some overspecified boundary value problems related to autonomous second-order differential equations when the range of the "state function" u is a priori unknown.
Recovering nonlinear terms with a priori unknown domains of definition in second order nonlinear ordinary differential equations / A. M. Denisov, A. Lorenzi. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - 11:2(2003 Jun), pp. 137-159. [10.1163/156939403766493528]
Recovering nonlinear terms with a priori unknown domains of definition in second order nonlinear ordinary differential equations
A. LorenziUltimo
2003
Abstract
We prove the existence and uniqueness of unknown nonlinear terms in some overspecified boundary value problems related to autonomous second-order differential equations when the range of the "state function" u is a priori unknown.
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