Differential and Integral Equations

A two point boundary value problem for a second order differential equation with quadratic growth in the derivative

Domenico Delbosco

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Abstract

A uniqueness theorem for positive solutions is proved for a two point boundary value problem governed by a class of nonlinear second order differential equations with quadratic growth in the derivative. An application to the Dirichlet boundary value problem for a nonlinear elliptic equation on a two dimensional annulus is presented.

Article information

Source
Differential Integral Equations, Volume 16, Number 6 (2003), 653-662.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060605

Mathematical Reviews number (MathSciNet)
MR1973273

Zentralblatt MATH identifier
1048.34044

Subjects
Primary: 34B10: Nonlocal and multipoint boundary value problems
Secondary: 34C10: Oscillation theory, zeros, disconjugacy and comparison theory 35J60: Nonlinear elliptic equations

Citation

Delbosco, Domenico. A two point boundary value problem for a second order differential equation with quadratic growth in the derivative. Differential Integral Equations 16 (2003), no. 6, 653--662. https://projecteuclid.org/euclid.die/1356060605


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