Three nonzero periodic solutions for a differential inclusion
Pages: 779 - 788,
Issue 4,
August 2012
doi:10.3934/dcdss.2012.5.779 Abstract
References
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Francesca Faraci - Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125 Catania, Italy (email)
Antonio Iannizzotto - Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125 Catania, Italy (email)
| 1 |
G. Bonanno, A minimax inequality and its applications to ordinary differential equations, J. Math. Anal. Appl., 270 (2002), 210-229. |
|
| 2 |
A. Boucherif and S. M. Bouguima, Periodic solutions of second [order] ordinary differential equations with a discontinuous nonlinearity, in "Nonlinear Partial Differential Equations" (Fès, 1994), Pitman Res. Notes Math. Ser., 343, Longman, Harlow, (1996), 54-60. |
|
| 3 |
K. C. Chang, Variational methods for nondifferentiable functionals and their applications to partial differential equations, J. Math. Anal. Appl., 80 (1981), 102-129. |
|
| 4 |
L. H. Erbe and W. Krawcewicz, Nonlinear boundary value problems for differential inclusions $y''\in F(t,y,y')$, Ann. Polon. Math., 54 (1991), 195-226. |
|
| 5 |
M. Frigon and A. Granas, Problèmes aux limites pour des inclusions différentielles de type semi-continues inférieurement, Riv. Mat. Univ. Parma (4), 17 (1991), 87-97. |
|
| 6 |
A. Iannizzotto, Three critical points for perturbed nonsmooth functionals and applications, Nonlinear Anal., 72 (2010), 1319-1338. |
|
| 7 |
D. Kandilakis, N. C. Kourogenis and N. S. Papageorgiou, Two nontrivial critical points for nonsmooth functionals via local linking and applications, J. Global Optim., 34 (2006), 219-244. |
|
| 8 |
M. Krastanov, N. Ribarska and T. Tsachev, A note on: "On a critical point theory for multivalued functionals and application to partial differential inclusions,'' Nonlinear Anal., 43 (2001), 153-158. |
|
| 9 |
R. Livrea and S. A. Marano, On a min-max principle for non-smooth functions and applications, Commun. Appl. Anal., 13 (2009), 411-430. |
|
| 10 |
D. Motreanu and P. D. Panagiotopoulos, "Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities," Nonconvex Optimization and its Applications, 29, Kluwer Academic Publishers, Dordrecht, 1999. |
|
| 11 |
N. S. Papageorgiou and F. Papalini, Existence of two solutions for quasilinear periodic differential equations with discontinuities, Arch. Math. (Brno), 38 (2002), 285-296. |
|
| 12 |
B. Ricceri, Multiplicity of global minima for parametrized functions, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 21 (2010), 47-57. |
|
| 13 |
B. Ricceri, A class of nonlinear eigenvalue problems with four solutions, J. Nonlinear Convex Anal., 11 (2010), 503-511. |
|
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