A sequence of positive solutions for sixth-order ordinary nonlinear differential problems
- 1 January 2021
- journal article
- research article
- Published by University of Szeged in Electronic Journal of Qualitative Theory of Differential Equations
- No. 20,p. 1-17
- https://doi.org/10.14232/ejqtde.2021.1.20
Abstract
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.Keywords
This publication has 16 references indexed in Scilit:
- A critical point theorem via the Ekeland variational principleNonlinear Analysis, 2012
- Existence and Multiplicity of Positive Solutions of a Boundary-Value Problem for Sixth-Order ODE with Three ParametersBoundary Value Problems, 2010
- Semi-positone nonlocal boundary value problems of arbitrary orderCommunications on Pure & Applied Analysis, 2010
- Third order boundary value problems with nonlocal boundary conditionsNonlinear Analysis, 2009
- Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditionsProceedings of the Royal Society of Edinburgh: Section A Mathematics, 2008
- Existence for a semilinear sixth-order ODEJournal of Mathematical Analysis and Applications, 2006
- Periodic and homoclinic solutions of some semilinear sixth-order differential equationsJournal of Mathematical Analysis and Applications, 2002
- The Existence of Travelling Wave Solutions of a Generalized Phase-Field ModelSIAM Journal on Mathematical Analysis, 1997
- Maximum principles for ordinary differential inequalities of fourth and sixth orderJournal of Mathematical Analysis and Applications, 1990
- Higher-order phase field models and detailed anisotropyPhysical Review B, 1986