Startseite Mathematik Multiple periodic solutions of nonautonomous second-order differential systems with (q, p)-Laplacian and partially periodic potentials
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

Multiple periodic solutions of nonautonomous second-order differential systems with (q, p)-Laplacian and partially periodic potentials

  • Zhihua Hu , Qin Jiang , Sheng Ma und Daniel Paşca EMAIL logo
Veröffentlicht/Copyright: 17. Februar 2023
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

In this paper, multiple periodic solutions are obtained for second-order Hamiltonian systems with (q, p)-Laplacian when the nonlinearity is partially periodic. New results are deduced by using minimax principle via critical point theory.


The last author dedicates this paper to Professor Jaume Llibre on the occasion of his 70th birthday, with deep esteem and respect.


  1. (Communicated by Michal Fečkan)

References

[1] Liu, J. Q.: A generalized saddle point theorem, J. Differential Equations 82 (1989), 372–385.Suche in Google Scholar

[2] Li, C.—Ou, Z. Q.—Tang, C. L.: Periodic solutions for non-autonomous second-order differential systems with (q, p)-Laplacian, Electron. J. Differential Equations 64 (2014), 1–13.Suche in Google Scholar

[3] Mawhin, J.—Willem, M.: Critical Point Theory and Hamiltonian Systems, Applied Mathematical Sciences, 74. Springer-Verlag, New York, 1989.Suche in Google Scholar

[4] Paşca, D.—Tang, C. L.: Some existence results on periodic solutions of nonautonomous second-order differential systems with (q, p)-Laplacian, Appl. Math. Lett. 23 (2010), 246–251.Suche in Google Scholar

[5] Paşca, D.: Periodic solutions of a class of nonautonomous second order differential systems with (q, p)-Laplacian, Bull. Belg. Math. Soc. Simon Stevin 17 (2010), 841–850.Suche in Google Scholar

[6] Paşca, D.—Tang, C. L.: New existence results on periodic solutions of nonautonomous second order differential systems with (q, p)-Laplacian, Bull. Belg. Math. Soc. Simon Stevin 19 (2012), 19–27.Suche in Google Scholar

[7] Paşca, D.—Wang, Z. Y.: New existence results on periodic solutions of nonautonomous second order Hamiltonian systems with (q, p)-Laplacian, Bull. Belg. Math. Soc. Simon Stevin 20 (2013), 155–166.Suche in Google Scholar

[8] Paşca, D.—Wang, Z. Y.: On periodic solutions of nonautonomous second order Hamiltonian systems with (q, p)-Laplacian, Electron. J. Qual. Theory Differ. Equ. 106 (2016), 1–9.Suche in Google Scholar

[9] Tang, C. L.—Wu, X. P.: A note on periodic solutions of nonautonomous second order systems, Proc. Amer. Math. Soc. 132(5) (2003), 1295–1303.Suche in Google Scholar

[10] Wang, Z. Y.—Zhang, J. H.: Periodic solutions of a class of second order non-autonomous Hamiltonian systems, Nonlinear Anal. 72 (2010), 4480–4487.Suche in Google Scholar

[11] Yang, X. X.—Chen, H. B.: Existence of periodic solutions for sublinear second order dynamical system with (q, p)-Laplacian, Math. Slovaca 63(4) (2013), 799–816.Suche in Google Scholar

[12] Zhang, X.—Tang, X.: Periodic solutions for an ordinary p-Laplacian system, Taiwanese J. Math. 15 (2011), 1369–1396.Suche in Google Scholar

Received: 2021-01-31
Accepted: 2021-12-05
Published Online: 2023-02-17
Published in Print: 2023-02-23

© 2023 Mathematical Institute Slovak Academy of Sciences

Artikel in diesem Heft

  1. RNDr. Stanislav Jakubec, DrSc. passed away
  2. Schur m-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means
  3. Conditions forcing the existence of relative complements in lattices and posets
  4. Radically principal MV-algebras
  5. A topological duality for dcpos
  6. Padovan or Perrin numbers that are concatenations of two distinct base b repdigits
  7. Addendum to “A generalization of a result on the sum of element orders of a finite group”
  8. Remarks on w-distances and metric-preserving functions
  9. Solution of logarithmic coefficients conjectures for some classes of convex functions
  10. Multiple periodic solutions of nonautonomous second-order differential systems with (q, p)-Laplacian and partially periodic potentials
  11. Asymptotic stability of nonlinear neutral delay integro-differential equations
  12. On Catalan ideal convergent sequence spaces via fuzzy norm
  13. Fourier transform inversion: Bounded variation, polynomial growth, Henstock–Stieltjes integration
  14. (ε, A)-approximate numerical radius orthogonality and numerical radius derivative
  15. Wg-Drazin-star operator and its dual
  16. On the Lupaş q-transform of unbounded functions
  17. K-contact and (k, μ)-contact metric as a generalized η-Ricci soliton
  18. Compactness with ideals
  19. Number of cells containing a given number of particles in a generalized allocation scheme
  20. A new generalization of Nadarajah-Haghighi distribution with application to cancer and COVID-19 deaths data
  21. Compressive sensing using extropy measures of ranked set sampling
  22. A note on star partial order preservers on the set of all variance-covariance matrices
Heruntergeladen am 16.12.2025 von https://www.degruyterbrill.com/document/doi/10.1515/ms-2023-0010/pdf
Button zum nach oben scrollen