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Existence results for a sublinear second order dirichlet boundary value problem on the half-line

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Języki publikacji
EN
Abstrakty
EN
.In this paper we study the existence of nontrivial solutions for a boundary value problem on the half-line, where the nonlinear term is sublinear, by using Ekeland’s variational principle and critical point theory.
Rocznik
Strony
537--548
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
  • University of M’sila Department of Mathematics M’sila, Algeria
  • Laboratory of Fixed Point Theory and Applications Department of Mathematics E.N.S. Kouba, Algiers, Algeria
Bibliografia
  • [1] G.A. Afrouzi, A. Hadjian, V.D. Radulescu, Variational analysis for Dirichlet impulsive differential equations with oscil latory nonlinearity, Portugal. Math. (N.S.) 70, Fasc. 3, (2013), 225-242.
  • [2] K. Ait-Mahiout, S. Djebali, T. Moussaoui, Multiple solutions for a BVP on (0, +to) via Morse theory and H01,p(R+) versus Cp1 (R+) local minimizers, Arab. J. Math. (2016), 5: 9-22.
  • [3] M. Badiale, E. Serra, Semilinear El liptic Equations for Beginners, Springer, New York, 2011.
  • [4] D. Bouafia, T. Moussaoui, D. O’Regan, Existence of solutions for a second order problem on the half-line via Ekeland’s variational principle, Discuss. Math. Differ. Incl. Control Optim. 36 (2016), 131-140.
  • [5] M. Briki, S. Djebali, T. Moussaoui, Solvability of an Impulsive Boundary Value Problem on The Half-Line Via Critical Point Theory, Bull. Iranian Math. Soc. 43 (2017) 3, 601-615.
  • [6] S. Djebali, T. Moussaoui, A class of second order BVPs on infinite intervals, Electron. J. Qual. Theory Differ. Equ. 4 (2006), 1-19.
  • [7] S. Djebali, S. Zahar, Bounded solutios for a derivative dependent boundary value problem on the half-line, Dynam. Systems Appl. 19 (2010), 545-556.
  • [8] S. Djebali, O. Saifi, S. Zahar, Upper and lower solutions for BVPs on the half-line with variable coefficient and derivative depending nonlinearity, Electron. J. Qual. Theory Differ. Equ. (2011), no. 14, 1-18.
  • [9] S. Djebali, O. Saifi, S. Zahar, Singular boundary value problems with variable coefficients on the positive half-line, Electron. J. Differential Equations 2013 (2013), no. 73, 1-18.
  • [10] I. Ekeland, On the variational principle, J. Math. Anal. Appl. 47 (1974), 324-353.
  • [11] Y. Jabri, The Mountan Pass Theorem, Variants, Generalizations and Some Applications, Cambridge University Press, New York, 2003.
  • [12] Y. Liu, Existence and unboundedness of positive solutions for singular boundary value problems on half-line, Appl. Math. Comput. 144 (2003), 543-556.
  • [13] H. Lian, W. Ge, Existence of positive solutions for Siurm-Liouville boundary value problems on the half-line, J. Math. Anal. Appl. 321 (2006), 781-792.
  • [14] H. Lian, W. Ge, Solvability for second-order three-point boundary value problems on a half-line, Appl. Math. Lett. 19 (2006), 1000-1006.
  • [15] H. Lian, P. Wang, W. Ge, Unbounded upper and lower solutions method for Sturm--Liouvil le boundary value problem on infinite intervals, Nonlinear Anal. 70 (2009), 2627-2633.
  • [16] R. Ma, Positive solutions for second order three-point boundary value problems, Appl. Math. Lett. 14 (2001) 1, 1-5.
  • [17] K. Perera, Z. Zhang, Nontrivial solutions of Kirchhoff-type problems via the Yang index, J. Differential Equations 221 (2006), 246-255.
  • [18] Y. Tian, W. Ge, W. Shan, Positive solutions for three-point boundary value problem on the half-line, Comput. Math. Appl. 53 (2007), 1029-1039.
  • [19] B. Yan, D. O’Regan, R. Agarwal, Unbounded solutions for singular boundary value problems on the semi-infinite interval: Upper and lower solutions and multiplicity, J. Comput. Appl. Math. 197 (2006), 365-386.
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7e5ad63d-6858-43f0-aace-307bee094d44
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