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P-ISSN: 2709-9393, E-ISSN: 2709-9407
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2026, Vol. 7, Issue 1, Part A


Multiple solutions for some Neumann-Steklov boundary value problems with ψ-laplacian


Author(s): Konan Charles Etienne Goli and David Paul Tuo

Abstract: We study the existence of multiple solutions of the quasilinear equation (ψ(u'(t)))'= f(t,u(t),u'(t)),t∈[0,T] submitted to nonlinear Neumann-Steklov boundary conditions, where ψ:]-a,a[→R, with 0<a < +∞, is an increasing homeomorphism such that ψ(0)=0. Combining some sign conditions and lower and upper solutions method, we obtain existence of two or three solutions.

DOI: https://doi.org/10.22271/math.2026.v7.i1a.281

Pages: 13-18 | Views: 52 | Downloads: 23

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Journal of Mathematical Problems, Equations and Statistics
How to cite this article:
Konan Charles Etienne Goli and David Paul Tuo. Multiple solutions for some Neumann-Steklov boundary value problems with ψ-laplacian. Journal of Mathematical Problems, Equations and Statistics. 2026; 7(1): 13-18. DOI: 10.22271/math.2026.v7.i1a.281
Journal of Mathematical Problems, Equations and Statistics
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