Existence of three solutions for impulsive multi-point boundary value problems

• Autorzy: Bohner M. , Heidarkhani S. , Salari A. , Caristi G.

Identyfikatory

DOI

10.7494/OpMath.2017.37.3.353

• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the study of the existence of at least three classical solutions for a second-order multi-point boundary value problem with impulsive effects. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results. Also by presenting an example, we ensure the applicability of our results.

Słowa kluczowe

EN

multi-point boundary value problem; impulsive condition; classical solution; variational method; three critical points theorem

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 3
• Strony: 353--379
• Opis fizyczny: Bibliogr. 48 poz.

Twórcy

autor

Bohner M.

• Department of Mathematics and Statistics Missouri S&T, Rolla MO 65409-0020, USA

autor

Heidarkhani S.

• Razi University Faculty of Sciences Department of Mathematics 67149 Kermanshah, Iran

autor

Salari A.

• Razi University Faculty of Sciences Department of Mathematics 67149 Kermanshah, Iran

autor

Caristi G.

• University of Messina Department of Economics Messina, Italy

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).