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Zbl 0886.34015
Habets, P.; Sanchez, L.
A two-point problem with nonlinearity depending only on the derivative.
(English)
[J] SIAM J. Math. Anal. 28, No.5, 1205-1211 (1997). ISSN 0036-1410; ISSN 1095-7154/e

Summary: We study the existence and multiplicity of solutions for a two-point boundary value problem at resonance in the first eigenvalue; the nonlinearity depends only on the first derivative and has finite limits at $\pm \infty$.
MSC 2000:
*34B15 Nonlinear boundary value problems of ODE

Keywords: resonance; bounded nonlinearity; multiple solutions

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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