Existence of solutions for a second order problem on the half-line via Ekeland's variational principle

D. Bouafia; T. Moussaoui; D. O’Regan

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2016)

  • Volume: 36, Issue: 2, page 131-140
  • ISSN: 1509-9407

Abstract

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In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line. Our approach is based on Ekeland’s variational principle.

How to cite

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D. Bouafia, T. Moussaoui, and D. O’Regan. "Existence of solutions for a second order problem on the half-line via Ekeland's variational principle." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 36.2 (2016): 131-140. <http://eudml.org/doc/289594>.

@article{D2016,
abstract = {In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line. Our approach is based on Ekeland’s variational principle.},
author = {D. Bouafia, T. Moussaoui, D. O’Regan},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {Ekeland’s variational principle; critical point},
language = {eng},
number = {2},
pages = {131-140},
title = {Existence of solutions for a second order problem on the half-line via Ekeland's variational principle},
url = {http://eudml.org/doc/289594},
volume = {36},
year = {2016},
}

TY - JOUR
AU - D. Bouafia
AU - T. Moussaoui
AU - D. O’Regan
TI - Existence of solutions for a second order problem on the half-line via Ekeland's variational principle
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2016
VL - 36
IS - 2
SP - 131
EP - 140
AB - In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line. Our approach is based on Ekeland’s variational principle.
LA - eng
KW - Ekeland’s variational principle; critical point
UR - http://eudml.org/doc/289594
ER -

References

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  10. [10] O. Frites, T. Moussaoui and D. O'Regan, Existence of solutions via variational methods for a problem with nonlinear boundary conditions on the half-line, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 22 (2015), 395-407. 
  11. [11] H. Lian and W. Ge, Solvability for second-order three-point boundary value problems on a half-line, Appl. Math. Lett. 19 (2006), 1000-1006. doi: 10.1016/j.aml.2005.10.018 
  12. [12] D. O'Regan, B. Yan and R.P. Agarwal, Nonlinear boundary value problems on semi-infinite intervals using weighted spaces: An upper and lower solution approach, Positivity 11 (2007), 171-189. doi: 10.1007/s11117-006-0050-5 
  13. [13] N.S. Papageorgiou and S.K. Yiallourou, Handbook of Applied Analysis (Springer, New-York, 2009). 

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