Boundary-value problems with nonlinear boundary conditions

Giuseppe Anichini; Giuseppe Conti

doi:10.1088/0951-7715/1/4/003

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Boundary-value problems with nonlinear boundary conditions

Giuseppe Anichini Giuseppe Conti

Year: 1988 Journal: Nonlinearity Vol: 1 (4)Pages: 531-540 Publisher: IOP Publishing

DOI: 10.1088/0951-7715/1/4/003

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Abstract

A nonlinear differential problem with general nonlinear boundary conditions is considered. The existence of solutions is then achieved by using a fixed point theorem for condensing maps. An example of a very nonlinear second-order differential equation is also provided.

Keywords:

Mathematics Nonlinear system Boundary value problem Mathematical analysis Fixed-point theorem Differential equation Mixed boundary condition

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Numerical methods for differential equations

Physical Sciences → Mathematics → Numerical Analysis

Differential Equations and Numerical Methods

Physical Sciences → Mathematics → Numerical Analysis

Stability and Controllability of Differential Equations

Physical Sciences → Engineering → Control and Systems Engineering

Boundary-value problems with nonlinear boundary conditions

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