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NEW MULTIPLE SOLUTIONS FOR SOME PERIODIC BOUNDARY VALUE PROBLEMS WITH ψ-LAPLACIAN

Year: 2026
Type: article
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 periodic 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.
Language: English
Open Access status: diamond
OpenAlex ID: W7124699690
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Cites: 2
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Related to: 10