The Journal of the Indian Mathematical Society

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Existence of Three Solutions for a Class of Two-Point Boundary Value Systems


Affiliations
1 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran, Islamic Republic of
2 Department of Mathematics, Islamic Azad University, Ghaemshahr Branch, Ghaemshahr, Iran, Islamic Republic of
     

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In this paper we prove the existence of an open interval [λ', λ"] for each λ of which a class of two-point boundary value equations depending on λ admits at least three solutions. Our main tool is a recent three critical points theorem of Averna and Bonanno.

Keywords

Three Solutions, Critical Points, Two-Point Boundary Value System.
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  • Existence of Three Solutions for a Class of Two-Point Boundary Value Systems

Abstract Views: 287  |  PDF Views: 3

Authors

Ghasem A. Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran, Islamic Republic of
Samaneh Abbasi
Department of Mathematics, Islamic Azad University, Ghaemshahr Branch, Ghaemshahr, Iran, Islamic Republic of

Abstract


In this paper we prove the existence of an open interval [λ', λ"] for each λ of which a class of two-point boundary value equations depending on λ admits at least three solutions. Our main tool is a recent three critical points theorem of Averna and Bonanno.

Keywords


Three Solutions, Critical Points, Two-Point Boundary Value System.