Spectrum of discrete 2n-th order difference operator with periodic boundary conditions and its applications

• Autorzy: El Amrouss Abdelrachid , Hammouti Omar

Identyfikatory

DOI

10.7494/OpMath.2021.41.4.489

• Języki publikacji: EN

Abstrakty

EN

Let n ∈ N*, and N ≥ n be an integer. We study the spectrum of discrete linear 2n-th order eigenvalue problems [formula] where λ is a parameter. As an application of this spectrum result, we show the existence of a solution of discrete nonlinear 2n-th order problems by applying the variational methods and critical point theory.

Słowa kluczowe

EN

discrete boundary value problems; 2n-th order; variational methods; critical point theory

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 4
• Strony: 489--507
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

El Amrouss Abdelrachid

• Mohammed First University Department of Mathematics Oujda, Morocco

• https://orcid.org/0000-0003-3536-398X

autor

Hammouti Omar

• Mohammed First University Department of Mathematics Oujda, Morocco

• https://orcid.org/0000-0002-6065-1361

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).