Differential and Integral Equations

An inverse problem of determining a nonlinear term in an ordinary differential equation

Yutaka Kamimura

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Abstract

An inverse problem for a nonlinear ordinary differential equation is discussed. We prove an existence theorem of a nonlinear term with which a boundary value problem admits a solution. This is an improvement of earlier work by A. Lorenzi. We also prove a uniqueness theorem of the nonlinear term.

Article information

Source
Differential Integral Equations, Volume 11, Number 2 (1998), 341-359.

Dates
First available in Project Euclid: 30 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367341075

Mathematical Reviews number (MathSciNet)
MR1741850

Zentralblatt MATH identifier
1022.34006

Subjects
Primary: 34A55: Inverse problems
Secondary: 34B15: Nonlinear boundary value problems 45G05: Singular nonlinear integral equations

Citation

Kamimura, Yutaka. An inverse problem of determining a nonlinear term in an ordinary differential equation. Differential Integral Equations 11 (1998), no. 2, 341--359. https://projecteuclid.org/euclid.die/1367341075


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