Existence of Nontrivial Solutions for Sixth-Order Differential Equations

We show the existence of at least one nontrivial solution for a nonlinear sixth-order ordinary differential equation is investigated. Our approach is based on critical point theory.

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Bibliographic Details
Published inMathematics (Basel) Vol. 9; no. 16; p. 1852
Main Authors Bonanno, Gabriele, Candito, Pasquale, O’Regan, Donal
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.08.2021
Subjects
Banach spaces
Critical point
critical points
Differential equations
existence
sixth-order equations
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ISSN2227-7390
2227-7390
DOI10.3390/math9161852

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Summary:We show the existence of at least one nontrivial solution for a nonlinear sixth-order ordinary differential equation is investigated. Our approach is based on critical point theory.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math9161852