Fučik Spectrum for the Second Order BVP with Nonlocal Boundary Condition

N. Sergejeva

doi:10.15388/NA.2007.12.3.14704

Articles

N. Sergejeva

Daugavpils University, Latvia

Published 2007-07-25

https://doi.org/10.15388/NA.2007.12.3.14704

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Keywords

Fučik spectrum
Fučik problem
eigenvalue
nonlocal condition

How to Cite

Sergejeva, N. (2007) “Fučik Spectrum for the Second Order BVP with Nonlocal Boundary Condition”, Nonlinear Analysis: Modelling and Control, 12(3), pp. 419–429. doi:10.15388/NA.2007.12.3.14704.

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Abstract

We construct the Fučik spectrum for some second order boundary value problem with nonlocal boundary condition. This spectrum differs essentially from the known Fučik spectra. We apply this result to the second order differential equation x'' + g(x) = f(t, x, x') with the conditions x(a) = 0, ∫_a^b x(s)ds = 0.

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