Nonuniform nonresonance for nonlinear boundary value problems with y′ dependence

A new nonuniform nonresonant result at the first eigenvalue is presented for the boundary value problem $\ y^{\prime \prime}+q\ f\left( t,y,y^{\prime}\right) =0$ a.e.on $\left[ 0,1\right] ,y\left( 0\right) =y\left(1\right) =0$.

Ravi P. Agarwal
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901–6975

Donal O’Regan
Department of Mathematics, National University of Ireland, Galway, Ireland

Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Nonuniform nonresonant; boundary value problem; eigenvalues; eigen-functions.

R. Precup, R.P. Agarwal, D. O’Regan, Nonuniform nonresonance for nonlinear boundary value problems with y′ dependence, Dynamic Systems Appl. 16 (3) (2007), 587-594.

https://ictp.acad.ro/wp-content/uploads/2023/03/2007b-Precup-Nonuniform-nonresonance-for-nonlinear-boundary-value-problems-with-y′dependence.pdf

also freely available at the publisher: https://acadsol.eu/dsa/articles/16/587-594-Agarwal.pdf

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