An inverse spectral problem for a nonlinear ordinary differential equation

Abstract

We prove an existence theorem concerning the identifica tion of a nonlinearity term in an overspecified boundary value problem related to a (nonlinear) second-order ordinary differential equation containing a spectral parameter λ.

Keywords:

• Identification problems
• unknown nonlinearity terms
• existence results
• second-order nonlinear ordinary differential equations
• boundary value problems with spectral parameters
• Volterra nonlinear integral equations

AMS:

• 34A55
• 34A34
• 34B15

⁽¹⁾ The author is a member of G. N. A. F. A. of the Italian C. N.R.

Work partially supported by the Italian Ministero della Ricerca Scientifica e Tecnologica.

⁽¹⁾ The author is a member of G. N. A. F. A. of the Italian C. N.R.

Work partially supported by the Italian Ministero della Ricerca Scientifica e Tecnologica.

Notes

⁽¹⁾ The author is a member of G. N. A. F. A. of the Italian C. N.R.

Work partially supported by the Italian Ministero della Ricerca Scientifica e Tecnologica.

Additional information

Notes on contributors

Alfredo Lorenzi

(1) (2)