6533b7d3fe1ef96bd12615a0

RESEARCH PRODUCT

A sequence of positive solutions for sixth-order ordinary nonlinear differential problems

Roberto LivreaGabriele Bonanno

subject

SequenceDifferential equationSixth orderApplied MathematicsCritical pointsInfinitely many solutionsSymmetry (physics)Term (time)Nonlinear systemSixth-order equationsSettore MAT/05 - Analisi MatematicaQA1-939Applied mathematicsCritical points; Infinitely many solutions; Sixth-order equationsDifferential (infinitesimal)MathematicsMathematics

description

Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on the nonlinear term is required, avoiding any symmetry assumption.

https://doi.org/10.14232/ejqtde.2021.1.20